Profit And Loss
Class 8th Mathematics RS Aggarwal Solution
- Find the gain or loss percent when: (i) CP = Rs.620 and SP =Rs.713 (ii) CP =…
- Find the selling price when: (i) CP = Rs.1650 and gain = 4% (ii) CP = Rs.915…
- Find the cost price when: (i) SP = Rs.1596 and gain = 12% (ii) SP = Rs.2431 and…
- Manjit bought an iron safe for Rs.12160 and paid Rs.340 for its transportation.…
- Robin purchased an old car for Rs.73500. He spent Rs.10300 on repairs and paid…
- Hari bought 20 kg of rice at 36 per kg and 25 kg of rice at 32 per kg. He mixed…
- Coffee costing! 250 per kg was mixed with chicory costing Rs. 75 per kg in the…
- If the selling price of 16 water bottles is equal to the cost price of 17 water…
- The cost price of 12 candles is equal to the selling price of 15 candles. Find…
- By selling 130 cassettes, a man gains an amount equal to the selling price of…
- By selling 45 lemons, a vendor loses a sum equal to the selling price of 3…
- Oranges are bought at 6 for Rs.20 and sold at 4 for Rs.18. Find the gain or…
- A vendor purchased bananas at Rs.40 per dozen and sold them at 10 for Rs. 36.…
- A man bought apples at 10 for Rs. 75 and sold them at Rs.75 per dozen. Find…
- A man purchased some eggs at Rs.3 for 16 and sold them at Rs.5 for 36. Thus,…
- A dealer sold a camera for Rs. 1080 gaining 1/8 of its cost price. Find (i)…
- Meenakshi sells a pen for Rs.54 and loses 1/10 of her outlay. Find (i) the…
- A dealer gets Rs.940 more if instead of selling a table at a loss of 10%, it…
- A dealer gets 56 less if instead of selling a chair at a gain of 15%, it is…
- A cycle was sold at a gain of 10%. Had it been sold for Rs.260 more, the gain…
- Sonu buys 40 kg of wheat at Rs.12.50 per kg and 30 kg of wheat at Rs.14 per…
- Wasim bought two cricket bats for Rs. 840 and Rs.360 respectively. He sells…
- Hema bought two pairs of jeans for Rs.1450 each. She sold one of them at a…
- A grocer purchased 200 kg of rice at Rs.25 per kg. He sold 80 kg of it at a…
- If the selling price of a TV set is equal to 6/5 of its cost price, find the…
- If the selling price of a flower vase is 5/6 of its cost price, find the loss…
- By selling a bouquet for Rs.322, a florist gains 15%. At what price should he…
- By selling an umbrella for Rs.336, a shopkeeper loses 4%. At what price must…
- A radio is sold for Rs.3120 at a loss of 4%. What will be the gain or loss per…
- Lwani sold two sarees for Rs.1980 each. On one, she lost 10%, while on the…
- A shopkeeper sold two fans for Rs. 1140 each. On one he gains 14%, while on…
- Vinod sold a watch to Arun at a gain of 12% and Arun had to sell it to Manoj…
- Ahmed buys a plot of land for Rs. 480000. He sells 2/5 of it at a loss of 6%.…
- A grocer bought sugar worth of Rs.4500. He sold one-third of it at a gain of…
- The marked price of a water cooler is Rs. 4650. The shopkeeper offers an…
- The price of a sweater was slashed from Rs. 960 to Rs. 816 by a shopkeeper in…
- Find the rate of discount being given on a shirt whose selling price is Rs.…
- After allowing a discount of 8% on a toy, it is sold for Rs. 216.20. Find the…
- A tea set was bought for Rs.528 after getting a discount of 12% on its marked…
- A dealer marks his goods at 35% above the cost price and allows a discount of…
- A cellphone was marked at 40% above the cost price and a discount of 30% was…
- A dealer purchased a fan for Rs. 1080. After allowing a discount of 25% on its…
- A dealer bought a refrigerator for Rs. 11515. After allowing a discount of 16%…
- A jeweller allows a discount of 16% to his customers and still gains 20%. Find…
- After allowing a discount of 10% on the marked price, a trader still makes a…
- How much per cent above the cost price should a shopkeeper mark his goods so…
- The marked price of a TV is Rs. 18500. A dealer allows two successive…
- Find the single discount which is equivalent to two successive discounts of…
- The list price of a refrigerator is Rs. 14650. If 6% is charged as sales tax,…
- Reena bought the following articles from a general store: (i) 1 tie costing Rs.…
- Tanvy bought a watch for Rs.1980 including VAT at 10%. Find the original price…
- Mohit bought a shirt for Rs. 1337.50 including VAT at 7%. Find the original…
- Karuna bought 10 g of gold for Rs. 15756 including VAT at 1%. What is the rate…
- Mohini purchased a computer for Rs. 37960 including VAT at 4%. What is the…
- Sajal purchased some car parts for rs. 20776 including VAT at 12%. What is the…
- The sale price of a TV set including VAT is Rs. 27000. If the VAT is charged at…
- Rohit purchased a pair of shoes for Rs. 882 inclusive of VAT. If the original…
- Malti bought a VCR for Rs. 19980 including VAT. If the original price of VCR…
- The value of a car including VAT is Rs. 382500. If the basic price of the car…
- Rajan buys a toy for Rs. 75 and sells it for Rs. 100. His gain per cent isA.…
- A bat is bought for Rs. 120 and sold for Rs.105. The loss per cent isA. 15% B.…
- A bookseller sells a book for Rs. 100, gaining Rs. 20. His gain per cent isA.…
- On selling an article for Rs.48, a shopkeeper loses 20%. In order to gain 20%,…
- On selling an article at a certain price a man gains 10%. On selling the same…
- Bananas are bought at 3 for Rs.2 and sold at 2 for Rs. 3. The gain per cent…
- If the selling price of 10 pens is the same as the cost price of 12 pens then…
- On selling 100 pencils a man gains the selling price of 20 pencils. His gain…
- Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His…
- Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs.15. His gain per cent…
- By selling a radio for Rs. 950, a man loses 5%. What per cent shall he gain by…
- The selling price of an article is 6/5 of the cost price. The gain per cent…
- On selling a chair forRs. 720, a man loses 25%. To gain 25% it must be sold…
- The ratio of cost price and selling price of an article is 20 : 21. What is…
- A man sold two chairs for Rs.500 each. On one he gains 20% and on the other he…
- The profit earned on selling an article for Rs.625 is the same as loss on…
- A man buys an article for Rs.150 and makes overhead expenses which are 10% of…
- If an article is sold at a gain of 5% instead of being sold at a loss of 5%, a…
- A dealer lists his articles at 20% above cost price and allows a discount of…
- The marked price of an article is 10% more than the cost price and a discount…
- The price of watch including 10% VAT is Rs. 825. What is its basic price?A.…
- By selling a flower pot for Rs.322, a man gains 15%. At what price should he sell it to…
- If the cost price of 12 pens is equal to the selling price of 16 pens, find the loss…
- A dealer gets Rs. 30 less if instead of selling a chair at a gain of 12% he sells it at…
- A trader marks his goods at 30% above cost price and allows a discount of 10%. What is…
- Find the single discount equivalent to two successive discounts of 20% and 10%.…
- Rajan bought a watch for Z 1870 including VAT at 10%. Find the original price of the…
- On selling 100 pens, a man gains the selling price of 20 pens. The gain per cent isA.…
- A man sells a bat for Rs. 100 gaining Rs. 20. His gain per cent isA. 20% B. 22% C. 18%…
- The selling price of an article is 6/5 of the cost price. The gain per cent isA. 15% B.…
- On selling a chair for Rs. 680, a man loses 15%. To gain 15%, it must be sold forA.…
- A dealer lists his goods at 20% above cost price and allows a discount of 10%. His…
- The price of a watch including 8% VAT is Rs.810. What is its basic price?A. Rs. 675 B.…
- Fill in the blanks. (i) The discount is reckoned on the ____ price. (ii) Gain or loss…
- Write T for true and F for false for each of the following: (i) SP= (100+loss%)/100 x…
Exercise 10a
Question 1.Find the gain or loss percent when:
(i) CP = Rs.620 and SP =Rs.713
(ii) CP = Rs.675 and SP = Rs.630
(iii) CP = Rs.345 and SP=Rs.372.60
(iv) CP = Rs.80 and SP = Rs.76.80
Answer:
(i) CP = Rs.620 and SP =Rs.713
Since SP is more than CP. So, it is a case of Gain.
Gain = SP- CP
= 713 - 620
= 93
= 15%
(ii) CP = Rs.675 and SP = Rs.630
Since CP is more than SP. So, it is a case of Loss.
Loss = CP- SP
= 675 - 630
= 45
= 6.66%
(iii) CP = Rs.345 and SP=Rs.372.60
Since SP is more than CP. So, it is a case of Gain.
Gain = SP- CP
= 372.60 - 345
= 27.60
= 8%
(iv) CP = Rs.80 and SP = Rs.76.80
Since CP is more than SP. So, it is a case of Loss.
Loss = CP- SP
= 80 – 76.80
= 3.20
= 4%
Question 2.
Find the selling price when:
(i) CP = Rs.1650 and gain = 4%
(ii) CP = Rs.915 and gain =
%
(iii) CP =Rs.875 and loss = 12%
(iv) CP = Rs.645 and loss =
%
Answer:
(i) CP = Rs.1650 and gain = 4%
= 1716
So, Selling Price will be Rs.1716.
(ii) CP = Rs.915 and gain = %
= 976
So, Selling Price will be Rs.976.
(iii) CP =Rs.875 and loss = 12%
So, Selling Price will be Rs.770.
(iv) CP = Rs.645 and loss =
%
= 559
So, Selling Price will be Rs.559.
Question 3.
Find the cost price when:
(i) SP = Rs.1596 and gain = 12%
(ii) SP = Rs.2431 and loss = 6
%
(iii) SP = Rs.657.60 and loss = 4%
(iv) SP = Rs.34.40 and gain = 7
%
Answer:
(i) SP = Rs.1596 and gain = 12%
= 1425
So, Cost Price (CP) will be Rs.1425.
(ii) SP = Rs.2431 and loss = 6
%
= 2600
So, Cost Price will be Rs.2600.
(iii) SP = Rs.657.60 and loss = 4%
= 685
So, Cost Price will be Rs.685.
(iv) SP = Rs.34.40 and gain = 7%
= 32
So, Cost Price (CP) will be Rs.32.
Question 4.
Manjit bought an iron safe for Rs.12160 and paid Rs.340 for its transportation. Then, he sold it for Rs.12875. Find his gain per cent.
Answer:
Total Cost of an Iron Safe = Purchase Cost + Transportation
= 12160 + 340
= 12500
Cost Price (CP) of Iron Safe = Rs.12500
Selling Price (SP) of an Iron Safe = Rs.12875
Gain on Sell = SP – CP
= 12875-12500
= 375
Gain Percent =
= 3%
So, Gain Percent on Iron Safe is 3%.
Question 5.
Robin purchased an old car for Rs.73500. He spent Rs.10300 on repairs and paid Rs.2600 for its insurance. Then he sold it to a mechanic for Rs.84240. What was his percentage gain or loss?
Answer:
Actual Price of an old car = Purchase Price + Overheads (Like Repairing Cost, Insurance)
= 73500 + 10300 + 2600
= 86400
Cost Price (CP) = Rs.86400
Selling Price (SP) = Rs.84240
Since, CP > SP. So, this will be considered as Loss.
Loss = CP – SP
= 86400 – 84240
= 2160
Hence,
= 2.5%
So, Loss percent is 2.5%
Question 6.
Hari bought 20 kg of rice at 36 per kg and 25 kg of rice at 32 per kg. He mixed the two varieties and sold the mixture at 38 per kg. Find his gain per cent in the whole transaction.
Answer:
Total Weight of Rice = 20 + 25
= 45 Kg
Total Cost of both varieties of Rice = (20 × 36) + (25 × 32)
= 720 + 800
= 1520
So, CP of Rice = Rs.1520
Selling Price (SP) of Rice = Wt. × Rate
= 45 × 38
= 1710
Gain = SP – CP
= 1710 – 1520
= Rs.190
Gain Percent =
= 12.5%
So, Gain Percent in whole transaction is 12.5%.
Question 7.
Coffee costing! 250 per kg was mixed with chicory costing Rs. 75 per kg in the ratio 5:2 for a certain blend. If the mixture was sold at Rs.230 per kg, find the gain or loss percent. Hint. Let 5 kg of coffee be mixed with 2 kg of chicory.
Answer:
Let × be the common multiple.
Cost of 5 Kg of Coffee => 5 × = 250 × 5 = Rs.1250
Cost of 2 kg of Chicory => 2 × = 75 × 2 = Rs.150
Cost of Mixture is;
5 × + 2 × = 1250 + 150
7 × = 1400
× = 1400/7 = Rs.200
So, CP of Mixture = Rs.200
And SP of Mixture = Rs.230
Since, SP > CP. So, it is a case of Gain.
Gain = SP – CP
= 230 – 200
= Rs.30
Gain Percent = 
= 15%
Question 8.
If the selling price of 16 water bottles is equal to the cost price of 17 water bottles, find the gain per cent earned by the dealer.
Answer:
Let CP of 17 bottles = Rs.100.
CP of 17 bottles = SP of 16 bottles = Rs.100
SP of 17 bottles = 
= Rs.106.25
Gain = SP – CP
= 106.25 – 100
= 6.25
= 6.25%
Question 9.
The cost price of 12 candles is equal to the selling price of 15 candles. Find the loss per cent.
Answer:
Let SP of 15 candles = Rs.100.
CP of 12 candles = SP of 15 candles = Rs.100
CP of 15 candles = 
= Rs.125
Loss = CP – SP
= 125 – 100
= 25
= 20%
Question 10.
By selling 130 cassettes, a man gains an amount equal to the selling price of 5 cassettes. Find the gain per cent.
Answer:
Let × be the price of a cassette.
Selling Price of 5 cassettes = 5x.
Selling Price of 130 cassettes = 130x.
Cost Price of 130 cassettes = 130 × – 5x
= 125x
Gain = SP - CP
= 130 × – 125x
= 5x
= 4%
Question 11.
By selling 45 lemons, a vendor loses a sum equal to the selling price of 3 lemons. Find his loss per cent.
Answer:
Let × be the price of a lemons.
Selling Price of 3 lemons = 3x.
Selling Price of 45 lemons = 45x.
Cost Price of 45 lemons = 45 × + 3x
= 48x
Loss = CP - SP
= 48 × – 45x
= 3x
= 6.25%
Question 12.
Oranges are bought at 6 for Rs.20 and sold at 4 for Rs.18. Find the gain or loss per cent.
Answer:
CP of 6 oranges = Rs.20
CP of 1 orange = Rs. 20/6
SP of 4 oranges = Rs.18
SP of 1 orange = Rs. 18/4
Gain = SP –CP
= 35%
Question 13.
A vendor purchased bananas at Rs.40 per dozen and sold them at 10 for Rs. 36. Find his gain or loss per cent.
Answer:
SP of 1 Banana = 36/10
= Rs.3.6
SP of 1 Dozen Banana = 3.6 × 12
= Rs.43.20
CP of 1 Dozen Banana = Rs.40
Gain = SP – CP
= 43.20 – 40
=3.2
=
= 8%
Question 14.
A man bought apples at 10 for Rs. 75 and sold them at Rs.75 per dozen. Find his loss per cent.
Answer:
CP of 1 Apple = 75/10
= Rs.7.5
CP of 1 Dozen Apple = 7.5 × 12
= Rs.90
SP of 1 Dozen Apple = Rs.75
Loss = CP – SP
= 90 - 75
= 15
=
= 16.66%
Question 15.
A man purchased some eggs at Rs.3 for 16 and sold them at Rs.5 for 36. Thus, he gained Rs.168 in all. How many eggs did he purchase?
Answer:
Let the numbers of egg is x.
CP of egg = Rs.16x/3
SP of egg = Rs.36x/5
Gain = SP - CP
=168
So, the numbers of egg are 90.
Question 16.
A dealer sold a camera for Rs. 1080 gaining 
of its cost price. Find (i) the cost price of the camera, and (ii) the gain per cent earned by the dealer.
Hint. Let CP = Rs. x. Then, gain = Rs. 
Therefore, SP=Rs.
=Rs.
Answer:
(i) Let × be the CP of Camera.
SP of Camera = x + 1x/8 = 1080
× + x/8 = 1080
9x/8 = 1080
x= (1080 × 8) / 9
= 960.
So, the Cost Price (CP) of camera is Rs.960.
(ii) Gain = SP – CP
= 1080 – 960
= 120
= 12.5%
Question 17.
Meenakshi sells a pen for Rs.54 and loses 
of her outlay. Find (i) the cost price of the pen, and (ii) the loss per cent.
Answer:
(i) Let × be the CP of Pen.
SP of Pen = x- 1x/10 = 54
X- X/10 = 54
9x/10 = 54
X= (54 × 10) / 9
= 60.
So, the Cost Price (CP) of Pen is Rs.60.
(ii) Loss = CP – SP
= 60 – 54
= 6
= 10%
Question 18.
A dealer gets Rs.940 more if instead of selling a table at a loss of 10%, it is sold at a gain of 10%. Find the cost price of the table.
Answer:
Let × be the CP.
In case of 10% loss, SP will be (x-x/10) = 9x/10
In case of 10% profit, SP will be ( × + x/10) = 11x/10
Difference when item is sold between profit and loss = Rs.940
11x/10 – 9x/10 = 940
2x/10 = 940
× = (940 × 10) / 2
= Rs.4700
So, Cost Price of table is Rs.4700.
Question 19.
A dealer gets 56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 8%. Find the cost price of the chair.
Answer:
Let × be the Cost Price of Chair.
SP when chair is sold at gain of 15% = × + 15x/100 = 115x/100
SP when chair is sold at gain of 8% = × + 8x/100 = 108x/100
115x/100 – 108x/100 = 56
7x/100 = 56
× = (56 × 100)/7
= 800
So, the cost price of Chair is Rs.800
Question 20.
A cycle was sold at a gain of 10%. Had it been sold for Rs.260 more, the gain would have been 14%. Find the cost price of the cycle.
Answer:
Let × be the Cost Price of Cycle.
SP when cycle is sold at gain of 14% = × + 14x/100 = 114x/100
SP when cycle is sold at gain of 10% = × + 10x/100 = 110x/100
114x/100 – 110x/100 = 260
4x/100 = 260
× = (260 × 100)/4
= 6500
So, the cost price of Cycle is Rs.6500
Question 21.
Sonu buys 40 kg of wheat at Rs.12.50 per kg and 30 kg of wheat at Rs.14 per kg. At what rate per kg should he sell the mixture to gain 5% on the whole?
Answer:
CP of total wheat = 40 × 12.50 + 30 × 14
= 500 + 420
= Rs.920
Total Weight of Wheat = 40 kg + 30 kg
= 70 kg
= Rs.966
So, to gain 5% on wheat SP will be Rs.966
Rate for 1 kg wheat = 966/70
= Rs.13.80
Question 22.
Wasim bought two cricket bats for Rs. 840 and Rs.360 respectively. He sells the first bat at a gain of 15% and the second one at a loss of 5%. Find his gain or loss per cent in the whole transaction.
Answer:
CP of first bat = Rs.840
SP of first bat 
= (115 × 840) /100
= Rs.966
CP of second bat = Rs.360
SP of second bat
= Rs.342
CP of both the bat = 840 + 360
= Rs.1200
SP of both bats = 966 + 342
= Rs.1308
It is a case of Gain because SP is more than CP.
Gain = SP – CP
= 1308 - 1200
= Rs108
= 9%
Question 23.
Hema bought two pairs of jeans for Rs.1450 each. She sold one of them at a gain of 8% and the other at a loss of 4%. Find her gain or loss per cent in the whole transaction.
Answer:
CP of first jeans = Rs.1450
SP of first jeans
= Rs.1566
CP of second jeans = Rs.1450
SP of second jeans 
= Rs.1392
CP of both the bat = 1450 + 1450
= Rs.2900
SP of both bats = 1566 + 1392
= Rs.2958
It is a case of Gain because SP is more than CP.
Gain = SP – CP
=2958 - 2900
= Rs58
= 2%
Question 24.
A grocer purchased 200 kg of rice at Rs.25 per kg. He sold 80 kg of it at a gain of 10% and 40 kg at a loss of 4%. At what rate per kg should he sell the remainder to gain 8% on his total investment?
Answer:
CP of 200kg Rice = 200 × 25
= Rs.5000
CP 0f 80 kg Rice = 80 × 25
= Rs.2000
SP of 80Kg rice sold at gain of 10%
= Rs.2200
CP of 40 kg Rice sold @4% loss = 40 × 25
= Rs.1000
SP of 40 Kg Rice sold @4% loss
= Rs.960
SP of Rice for Gaining 8% on total value
= Rs.5400
Total Wt. of Rice Sold = 80 + 40 = 120 Kg
Remaining Wt. of Rice to be Sold
= 200 - 120
= 80 Kg
Total amount obtained from Selling Rice
= 2200 + 960
= Rs.3160
Difference of Amount = 5400 – 3160
= Rs.2240
New Rate of Rice will be = Rs.2240 / 80
= Rs.28
Question 25.
If the selling price of a TV set is equal to 
of its cost price, find the gain per cent.
Hint. Let CP be x. Then, SP =Rs.
Answer:
Let × be the CP of TV Set
CP = x
SP = (x) × 6/5
= 6x/5
Gain = SP –CP
= 6x/5 – x
= x/5
= (x/5 × 100) / x
= 20%
So, If TV set is sold at 6/5 price of its CP. Then Gain percent will be 20%.
Question 26.
If the selling price of a flower vase is 
of its cost price, find the loss per cent.
Answer:
Let × be the CP of Flower Vase
CP = x
SP = (x) × 5/6
= 5x/6
Loss = CP –SP
= × – 5x/6
= x/6
Loss Percent = (Loss × 100) / CP
= (x/6 × 100) / x
= 100/6
= 16.66%
So, If Flower vase set is sold at 5/6 price of its CP. Then Loss percent will be 16.66%.
Question 27.
By selling a bouquet for Rs.322, a florist gains 15%. At what price should he sell it to gain 25%?
Answer:
Let × be the CP of bouquet.
SP = Rs.322
SP 
= 280
CP of bouquet = Rs.280
Now, to sell bouquet on25% gain, Selling Price will be
SP
=
= Rs.350
Question 28.
By selling an umbrella for Rs.336, a shopkeeper loses 4%. At what price must he sell it to gain 4%?
Answer:
Let x be the CP of an umbrella
SP
=Rs.350
So, CP of an umbrella is Rs.350.
New SP to gain 4%
SP
= Rs.364
So, to gain 4% on Umbrella new Selling Price will be Rs.364.
Question 29.
A radio is sold for Rs.3120 at a loss of 4%. What will be the gain or loss per cent if it is sold for Rs.3445?
Answer:
Let × be the CP of a Radio
SP
So, CP of a Radio is Rs.3250.
New SP = Rs.3445
Since SP > CP, it will be a case of Gain
Gain = SP – CP
= 3445 – 3250
= Rs.195
= (195 × 100) / 3250
= 6%
So, if Radio is sold at Rs.3445. Gain Percent will be 6%.
Question 30.
Lwani sold two sarees for Rs.1980 each. On one, she lost 10%, while on the other she gained 10%. Find her gain or loss per cent in the whole transaction.
Answer:
S.P of each sarees = Rs. 1980
1st Saree:
S.P = Rs. 1980
Gain = 10%
Let C.P = x
Therefore,
x = Rs. 1800
2nd Saree:
S.P = Rs. 1980
Loss = 10%
Let the C.P = x
Therefore,
x = Rs. 2200
Now, total S.P = 1980 + 1980 = Rs. 3960
Total C.P = 2200 + 1800 = Rs.. 4000
Total Loss = C.P - S.P = 4000 - 3960 = Rs. 40
Also,
Question 31.
A shopkeeper sold two fans for Rs. 1140 each. On one he gains 14%, while on the other he loses 5%. Calculate his gain or loss per cent in the whole transaction.
Answer:
SP of first fan = Rs.1140
C.P of first fan 
= Rs.1000
SP of second fan = Rs.1140
C.P of second fan,
SP of both fans = 1140 + 1140
= Rs.2280
CP of both fans = 1000 + 1200
= Rs.2200
It is a case of Gain because SP is more than CP.
Gain = SP – CP
=2280 - 2200
= Rs80
= (80 × 100) / 2200
= 3.64%
Question 32.
Vinod sold a watch to Arun at a gain of 12% and Arun had to sell it to Manoj at a loss of 5%. If Manoj paid Rs.3990 for it, how much did Vinod pay for the watch?
Answer:
Arun sold watch to Manoj at 5% loss at Rs.3990
CP 
= Rs.4200
So, Cost Price of watch for Arun is Rs.4200
Vinod sold watch to Arun 12% gain
= Rs.3750
So, Vinod paid Rs.3750 for a watch.
Question 33.
Ahmed buys a plot of land for Rs. 480000. He sells 
of it at a loss of 6%. At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole?
Answer:
CP of plot = Rs.480000
SP of plot to gain 10%
SP = 
= ((100 + 10) /100) × 480000
= Rs.528000
CP for 2/5 area of plot = 480000 × 2/5
= Rs.192000
SP of 2/5 area of plot will be
SP = ((100 – Loss %)/100) × CP
= ((100 - 6) / 100) × 192000
= Rs.180480
Difference between both the Selling Prices
= 528000 – 180480
= Rs.347520
CP for 3/5 land = 480000 – 192000
= Rs.288000
SP for 3/5 land = Rs.347520
Gain = SP - CP
= 347520 – 288000
= Rs.59520
= (59520 × 100) / 288000
= 20.66%
So, to gain 10% on whole remaining land should be sold at 20.66%.
Question 34.
A grocer bought sugar worth of Rs.4500. He sold one-third of it at a gain of 10%. At what gain per cent must the remaining sugar be sold to have a gain of 12% on the whole?
Answer:
CP of sugar = Rs.4500
SP of sugar to gain 12% on whole
SP
= Rs.5040
CP for 1/3 of sugar = 4500 × 1/3
= Rs.1500
SP of 1/3 of sugar will be
SP =
= Rs.1650
Difference between both the Selling Prices
= 5040 – 1650
= Rs.3390
CP for remaining 2/3 sugar = 4500 – 1500
= Rs.3000
SP for 2/3 sugar = Rs.3390
Gain = SP - CP
= 3390 – 3000
= Rs.390
= 13%
So, to gain 12% on whole remaining sugar should be sold at 13%.
Exercise 10b
Question 1.The marked price of a water cooler is Rs. 4650. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answer:
Market Price = Rs.4650
Discount = 18%
Discount in Amount = (18% of Market Price)
= Rs.837
Selling Price = Market Price – Discount
= 4650 – 837
=Rs.3813
Question 2.
The price of a sweater was slashed from Rs. 960 to Rs. 816 by a shopkeeper in the winter season. Find the rate of discount given by him.
Answer:
Market Price = Rs.960
Selling Price = Rs.816
Discount = Market Price – Selling Price
= 960 - 816
=Rs.144
Discount % = (Discount/Market Price) × 100
= (144/960) × 100
= 15%
Question 3.
Find the rate of discount being given on a shirt whose selling price is Rs. 1092 after deducting a discount of Rs. 208 on its marked price. Hint. MP = (SP) + (discount).
Answer:
Selling Price = Rs.1092
Discount = Rs.208
Market Price = Selling Price + Discount
= 1092 + 208
= Rs.1300
Discount % = (Discount/Market Price) × 100
= (208/1300) × 100
= 16%
Question 4.
After allowing a discount of 8% on a toy, it is sold for Rs. 216.20. Find the marked price of the toy.
Answer:
Discount =8%
Selling Price = Rs.216.20
Let y be the Market Price of Toy.
Market Price – Discount = Selling Price
= 216.20
= Rs.235
Market Price of toy is Rs.235.
Question 5.
A tea set was bought for Rs.528 after getting a discount of 12% on its marked price. Find the marked price of the tea set.
Answer:
Selling Price = Rs.528
Discount = 12%
Let y be the Market Price of Tea Set.
Market Price – Discount = Selling Price
= Rs.600
So, Market Price of tea set is Rs.600.
Question 6.
A dealer marks his goods at 35% above the cost price and allows a discount of 20% on the marked price. Find his gain or loss per cent.
Answer:
Let × be the CP of the goods.
Market Price of the goods when goods is marked above 35% of CP
Market Price = × + (35x/100)
= 135x/100
Discount Offered = 20%
Discounted Amount = 20% of 135x/100
= 27x/100
Selling Price = Market Price – Discount
= (135x/100) – (27x/100)
=108x/100
=1.08x
Since SP is more than CP, it is a case of Gain.
Gain = SP – CP
= 1.08x– x
= 0.08x
= 
= 8%
Question 7.
A cellphone was marked at 40% above the cost price and a discount of 30% was given on its marked price. Find the gain or loss per cent made by the shopkeeper.
Answer:
Let × be the CP of the cellphone.
Market Price of the goods when goods is marked above 40% of CP
Market Price = × + (40x/100)
= 140x/100
=1.4x
Discount Offered = 30%
Discounted Amount = 30% of 1.40x
= 0.42x
Selling Price = Market Price – Discount
= 1.4 × – 0.42x
=0.98x
Since CP is more than SP, it is a case of Loss.
Loss = CP – SP
= × – 0.98x
= 0.02x
= 2%
Question 8.
A dealer purchased a fan for Rs. 1080. After allowing a discount of 25% on its marked price, he gains 25%. Find the marked price of the fan.
Answer:
Cost Price = Rs.1080
Gain = 25%
Selling Price
= 
= Rs.1350
Discount = 25%
Let × be the market price.
Market Price – Discount = Selling Price
× – 25% of × = 1350
× – 25x/100 = 1350
75x/100 = 1350
X= (1350 × 100) / 75
= Rs.1800
So, Market Price of Fan is Rs.1800
Question 9.
A dealer bought a refrigerator for Rs. 11515. After allowing a discount of 16% on its marked price, he gains 20%. Find the marked price of the refrigerator.
Answer:
Cost Price = Rs.11515
Gain = 20%
Selling Price =
= Rs.13818
Discount = 16%
Let × be the market price.
Market Price – Discount = Selling Price
× – 16% of × = 13818
× – 16x/100 = 13818
84x/100 = 13818
X= (13818 × 100) / 84
= Rs.16450
So, Market Price of refrigerator is Rs.16450
Question 10.
A jeweller allows a discount of 16% to his customers and still gains 20%. Find the marked price of a ring which costs the jeweller Rs. 1190.
Answer:
Cost Price = Rs.1190
Gain = 20%
Selling Price
= Rs.1428
Discount = 16%
Let × be the market price.
Market Price – Discount = Selling Price
× – 16% of × = 1428
× – 16x/100 = 1428
84x/100 = 1428
X= (1428 × 100) / 84
= Rs.1700
So, Market Price of ring is Rs.1700
Question 11.
After allowing a discount of 10% on the marked price, a trader still makes a gain of 17%. By what per cent is the marked price above the cost price?
Answer:
Let’s assume Cost Price of Product to be Rs.100.
Given he gains 17% on selling price would be
Selling Price = (100 + 17% of 100) = Rs.117
Discount = 10%
Let × be the marked price.
Market Price – Discount = Selling Price
x- (10% of x) = 117
× – x/10 = 117
9x/10 = 117
× = 130
Cost price is 100
Selling price is 117
Marked price is 130
So, Market Price is 30% above Cost Price.
Question 12.
How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 10% on the marked price, he gains 8%?
Answer:
Let’s assume Cost Price of Product to be Rs.100.
Given he gains 8% on selling price would be
Selling Price = (100 + 8% of 100) = Rs.108
Discount = 10%
Let × be the marked price.
Market Price – Discount = Selling Price
x- (10% of x) = 108
× – x/10 = 108
9x/10 = 108
× = 120
Cost price is 100
Selling price is 108
Marked price is 120
So, Market Price is 20% above Cost Price.
Question 13.
The marked price of a TV is Rs. 18500. A dealer allows two successive discounts of 20% and 5%. For how much is the TV available?
Answer:
Market Price = Rs.18500
First Discount = 20%
Second Discount = 5%
The formula for total discount in case of successive discounts:
If the first discount is x% and 2nd discount is y% then,
Total Discount =
= 24%
Discount = (24% of Rs.18500)
= Rs.4440
Selling Price = Market Price – Discount
= 18500 – 4440
= Rs.14060
Question 14.
Find the single discount which is equivalent to two successive discounts of 20% and 5%.
Answer:
First Discount = 20%
Second Discount = 5%
The formula for total discount in case of successive discounts:
If the first discount is x% and 2nd discount is y% then,
Total Discount=
= 24%
Exercise 10c
Question 1.The list price of a refrigerator is Rs. 14650. If 6% is charged as sales tax, find the cost of the refrigerator.
Answer:
List Price = Rs14650
Sales Ta × = 6%
Sales Ta × Amount = 6% of Rs14650
=6% × 14650
=Rs879
Final Price = List Price + Sales Tax
= 14650 + 879
= Rs.15529
Question 2.
Reena bought the following articles from a general store:
(i) 1 tie costing Rs. 250 with ST @ 6%
(ii) Medicines costing Rs. 625 with ST @ 4%
(iii) Cosmetics costing Rs. 430 with ST @ 10%
(iv) Clothes costing Z 1175 with ST @ 8%
Calculate the total amount to be paid by Reena
Answer:
Cost of Tie = Rs.250
ST on Tie = 6%
ST Amount on Tie = 6% of Rs250
= 15
Final Cost of Tie = 250 + 15 = Rs.265
Cost of Medicine = Rs.625
ST on Medicine = 4%
ST Amount on Medicine = 4% of Rs.625
= Rs.25
Final Cost of Medicine = 625 + 25 = Rs.650
Cost of Cosmetic = Rs.430
ST on Cosmetic = 10%
ST Amount on Cosmetic = 10% of Rs.430
= Rs.43
Final Cost of Medicine = 430 + 43 = Rs.473
Cost of Clothes = Rs.1175
ST on Clothes = 8%
ST Amount on Medicine = 8% of Rs.1175
= Rs.94
Final Cost of Medicine = 1175 + 94 = Rs.1269
So, Total Amount to be paid by Reena = Rs.265 + Rs.650 + Rs.473 + Rs.1269
= Rs.2657
Question 3.
Tanvy bought a watch for Rs.1980 including VAT at 10%. Find the original price of the watch.
Answer:
VAT = 10%
Selling Price = Rs.1980
Let × be the original price of watch.
VAT Amount = 10% of x
=x/10
× + x/10 = 1980
11x/10 = 1980
X= (1980 × 10) / 11
= Rs.1800
So, Original Price of Watch excluding VAT is Rs.1800.
Question 4.
Mohit bought a shirt for Rs. 1337.50 including VAT at 7%. Find the original price of the shirt.
Answer:
VAT = 7%
Selling Price = Rs.1337.50
Let × be the original price of watch.
VAT Amount = 7% of x
=7x/100
× + 7x/100 = 1337.50
107x/100 = 1337.50
X= (1337.50 × 100) / 107
= Rs.1250
So, Original Price of Shirt excluding VAT is Rs.1250.
Question 5.
Karuna bought 10 g of gold for Rs. 15756 including VAT at 1%. What is the rate of gold per 10 g?
Answer:
VAT = 1%
Selling Price = Rs.15756
Let × be the original price of watch.
VAT Amount = 1% of x
=x/100
× + x/100 = 15756
101x/100 = 15756
X= (15756 × 100) / 101
= Rs.15600
So, Original Price of 10gm Gold excluding VAT is Rs.15600.
Question 6.
Mohini purchased a computer for Rs. 37960 including VAT at 4%. What is the original price of the computer?
Answer:
VAT = 4%
Selling Price = Rs.37960
Let × be the original price of watch.
VAT Amount = 4% of x
=4x/100
× + 4x/100 = 37960
104x/100 = 37960
X= (37960 × 100) / 104
= Rs.36500
So, Original Price of Computer excluding VAT is Rs.36500.
Question 7.
Sajal purchased some car parts for rs. 20776 including VAT at 12%. What is the original cost of these spare parts?
Answer:
VAT = 12%
Selling Price = Rs.20776
Let × be the original price of watch.
VAT Amount = 12% of x
=12x/100
× + 12x/100 = 20776
112x/100 = 20776
X= (20776 × 100) / 112
= Rs.18550
So, Original Price of parts of Car excluding VAT is Rs.18550.
Question 8.
The sale price of a TV set including VAT is Rs. 27000. If the VAT is charged at 8% of the list
price, what is the list price of the TV set?
Answer:
VAT = 8%
Selling Price = Rs.27000
Let × be the original price of watch.
VAT Amount = 8% of x
=8x/100
× + 8x/100 = 27000
108x/100 = 27000
X= (27000 × 100) / 108
= Rs.25000
So, Original Price of TV Set excluding VAT is Rs.25000.
Question 9.
Rohit purchased a pair of shoes for Rs. 882 inclusive of VAT. If the original cost be Rs. 840, find the rate of VAT.
Answer:
Selling Price = Rs.882
Original Price = Rs.840
VAT Amount = 882- 840
= Rs.42
VAT % = (VAT Amount/Original Price) × 100
= (42/840) × 100
= 5%
So, Rate of VAT is 5%
Question 10.
Malti bought a VCR for Rs. 19980 including VAT. If the original price of VCR be Rs. 18500, find the rate of VAT.
Answer:
Selling Price = Rs.19980
Original Price = Rs.18500
VAT Amount = 19980- 18500
= Rs.1480
VAT % = (VAT Amount/Original Price) × 100
= (1480/18500) × 100
= 8%
So, Rate of VAT is 8%
Question 11.
The value of a car including VAT is Rs. 382500. If the basic price of the car be Rs. 340000, find the rate of VAT on cars.
Answer:
Selling Price = Rs.382500
Original Price = Rs.340000
VAT Amount = 382500- 340000
= Rs.42500
VAT % = (VAT Amount/Original Price) × 100
= (42500/340000) × 100
= 12.5%
So, Rate of VAT on Car is 12.5%
Exercise 10d
Question 1.Rajan buys a toy for Rs. 75 and sells it for Rs. 100. His gain per cent is
A. 25%
B. 20%1
C. 33
%
D. 37
Answer:
CP = Rs.75
SP = Rs.100
Gain = SP – CP
= 100 -75
= Rs.25
Gain Percent =
=33.33%
Question 2.
A bat is bought for Rs. 120 and sold for Rs.105. The loss per cent is
A. 15%
B. 12
%
C. 16
%
D. 141%
Answer:
CP = Rs.120
SP = Rs.105
Loss = CP – SP
= 120 -105
= Rs.15
=12.5%
Question 3.
A bookseller sells a book for Rs. 100, gaining Rs. 20. His gain per cent is
A. 20%
B. 25%
C. 22%
D. none of these
Answer:
SP = Rs.100
Gain = Rs.20
CP = SP – Gain
= 100 -20
= Rs.80
=25%
Question 4.
On selling an article for Rs.48, a shopkeeper loses 20%. In order to gain 20%, what would be the selling price?
A. Rs. 52
B. Rs. 56
C. Rs. 68
D. Rs. 72
Answer:
SP = Rs.48
Loss Percent = 20%
= Rs.60
SP 
= Rs.72
Question 5.
On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain per cent is
A. 20%
B. 100%
C. 120%
D. 140%
Answer:
Let the cost price be Rs.100
Gain = 10%
SP
= Rs.110
Now, according to question make the selling price double
= 110 × 2
= Rs.220
Now, Gain will be
= 220 – 100
= Rs.120
= 120%
Question 6.
Bananas are bought at 3 for Rs.2 and sold at 2 for Rs. 3. The gain per cent is
A. 25%
B. 50%
C. 75%
D. 125%
Hint. Suppose 6 bananas are bought. Then, CP = 4 and SP = 9
Answer:
CP for 3 Bananas = Rs.2
CP for 1 Banana = Rs.2/3
SP for 2 Bananas = Rs.3
SP for 1 Banana = Rs.3/2
Gain = SP – CP
= 3/2 – 2/3
=5/6
= 5/4 × 100
= 125%
Question 7.
If the selling price of 10 pens is the same as the cost price of 12 pens then gain per cent is
A. 2%
B. 12%
C. 20%
D. 25%
Answer:
Let × be the CP of Pen
SP of 1 pen = x/10
CP of 1 Pen = x/12
Gain = SP –CP
= x/10 – x/12
=x/60
= 20%
Question 8.
On selling 100 pencils a man gains the selling price of 20 pencils. His gain per cent is
A. 20%
B. 25%
C. 22%
D. 16
%
Answer:
Let × be the CP of pencil
SP of 100 pencils = 100x
Gain of 20 Pencils = 20x
CP = SP - Gain
= 100 × – 20x
= 80x
= 25%
Question 9.
Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain per cent is
A. 30%
B. 40%
C. 50%
D. 150%
Answer:
Cost Price of 1 toffee=Rs.1/5
Selling Price of 1 toffee=Rs.1/2
Gain = SP – CP
= 1/2 - 1/5
= 3/10
= 150%
Question 10.
Oranges are bought at 5 for Rs. 10 and sold at 6 for Rs.15. His gain per cent is
A. 50%
B. 40%
C. 35%
D. 25%
Answer:
Cost Price of 1 Orange =Rs.10/5 = Rs.2
Selling Price of 1 Orange =Rs.15/6 = Rs.2.5
Gain = SP – CP
= 2.5 - 2
= 0.5
Gain Percent =
= (0.5 × 100) / 2
= 25%
Question 11.
By selling a radio for Rs. 950, a man loses 5%. What per cent shall he gain by selling it for Rs. 1040?
A. 4%
B. 4.5%
C. 5%
D. 9%
Answer:
SP = Rs.950
Loss % = 5
= Rs.1000
New SP will be Rs.1040
Gain = SP - CP
= 1040 – 1000
= Rs.40
= (40 × 100) / 1000
= 4%
Question 12.
The selling price of an article is 
of the cost price. The gain per cent is
A. 20%
B. 25%
C. 30%
D. 120%
Answer:
Let × be the CP
SP = 6x/5
Gain = SP –CP
= 6x/5 – x
=x/5
= 20%
Question 13.
On selling a chair forRs. 720, a man loses 25%. To gain 25% it must be sold for
A. Rs.900
B. Rs.1200
C. Rs.1080
D. Rs.1440
Answer:
SP = Rs.720
Loss % = 25
= Rs.960
= Rs.1200
Question 14.
The ratio of cost price and selling price of an article is 20 : 21. What is the gain per cent on it?
A. 5%
B. 5 %
C. 6%
D. 6
%
Answer:
Let × be the common multiple
CP = 20x
SP = 21x
Gain = SP – CP
= 21 × – 20x
= x
Gain Percent =
= 5%
Question 15.
A man sold two chairs for Rs.500 each. On one he gains 20% and on the other he loses 12%. His net gain or loss per cent is
A. 1.5% gain
B. 2% gain
C. 1.5% loss
D. 2% loss
Answer:
SP of first chair = Rs.500
CP of first chair
= Rs.416.66
SP of second chair = Rs.500
SP of second chair
= Rs.568.18
CP of both chairs = 500 + 500
= Rs.1000
SP of both chairs = 568.18 + 416.66
= Rs.984.84
It is a case of Loss because CP is more than SP.
Loss = CP – SP
=1000 – 984.84
= Rs15.16
= 1.51%
Question 16.
The profit earned on selling an article for Rs.625 is the same as loss on selling it for Rs.435. The cost price of the article is
A. Rs. 520
B. Rs. 530
C. Rs. 540
D. Rs. 550
Hint. Let the CP be x. Then, 625- × = × - 435. Find x.
Answer:
Let the CP be x.
When Profit is earned CP = 625 – x
When Loss is incurred CP = × – 435
According to question,
625 – × = x- 435
2 × = 625 + 435
2 × = 1060
× = Rs.530
So, Cost Price is Rs.530.
Question 17.
A man buys an article for Rs.150 and makes overhead expenses which are 10% of the cost price. At what price must he sell it to gain 20%?
A. Rs. 182
B. Rs. 192
C. Rs. 198
D. Rs.208
Answer:
CP = Rs.150
Overhead Expense = 10% of Rs.150
= Rs.15
So, total cost of an article = 150 + 15
= Rs.165
= Rs.198
Question 18.
If an article is sold at a gain of 5% instead of being sold at a loss of 5%, a man gets Rs. 5 more. What is the cost price of the article?
A. Rs. 50
B. Rs. 40
C. Rs. 60
D. Rs. 80
Hint. Let the CP be x. Then, (105% of x) -(95% of x) =5.
Answer:
Let the CP be x.
When Profit is earned CP = 1.05x
When Loss is incurred CP = 0.95x
According to question,
1.05 × – 0.95 × =5
0.10 × =5
X= 50
So, Cost Price of an article is Rs.50.
Question 19.
A dealer lists his articles at 20% above cost price and allows a discount of 10%. His gain per cent is
A. 10%
B. 8%
C. 9%
D. 8 %
Answer:
Let CP will be Rs.100
Marked Price = Rs.120
10% Discount on Marked Price = 10% of Rs.120
= Rs.12
So, SP = 120 -12
= Rs.108
Gain = SP – CP
= 108 – 100
= Rs.8
= (8 × 100) / 100
= 8%
Question 20.
The marked price of an article is 10% more than the cost price and a discount of 10% is given on the marked price. The seller has
A. no gain and no loss
B. 1% gain
C. 1% loss
D. none of these
Answer:
When two similar items are sold at same price, one at a gain and other at a loss of same percent. Then always a loss will be occurred.
Loss % = (Common Loss and Gain Percent / 10)2
= (10/10)2
= (1)2
= 1
So, Loss will be 1%.
Question 21.
The price of watch including 10% VAT is Rs. 825. What is its basic price?
A. Rs. 742.50
B. Rs.775
C. Rs. 750
D. Rs. 907.50
Answer:
VAT = 10%
Selling Price = Rs.825
Let × be the base price.
Vat Amount = 10% of x
= x/10
Base Price + VAT = Selling Price
× + x/10 = 825
11x/10 = 825
× = (825 × 10) / 11
= Rs.750
Cce Test Paper-10
Question 1.By selling a flower pot for Rs.322, a man gains 15%. At what price should he sell it to gain 20%?
Answer:
= Rs.280
To gain 20%, SP should be
=Rs.336
Question 2.
If the cost price of 12 pens is equal to the selling price of 16 pens, find the loss per cent.
Answer:
Let × be the CP of Pen
SP of 1 pen = x/16
CP of 1 Pen = x/12
Loss = CP – SP
= x/12 – x/16
= x/48
= 25%
Question 3.
A dealer gets Rs. 30 less if instead of selling a chair at a gain of 12% he sells it at a gain of 8%. Find the cost price of the chair.
Answer:
Let × be the Cost Price of the chair.
SP of chair when sold at 12% gain = 112x/100
SP of chair when sold at 8% gain = 108x/100
Now, according to questions,
112x/100 – 30 = 108x/100
4x/100 = 30
× = (30 × 100) / 25
= Rs.750
Question 4.
A trader marks his goods at 30% above cost price and allows a discount of 10%. What is his gain per cent?
Answer:
Let CP will be Rs.100
Marked Price = Rs.130
10% Discount on Marked Price = 10% of Rs.130
= Rs.13
So, SP = 130 -13
= Rs.117
Gain = SP – CP
= 117 – 100
= Rs.17
= (17 × 100) / 100
= 17%
Question 5.
Find the single discount equivalent to two successive discounts of 20% and 10%.
Answer:
Let the CP of product is Rs.100
20% discount on CP = Rs.20
Then, Price would be = 100-20
=Rs.80
Now, 10% discount on current price = 10% of Rs.80
= Rs.8
Now, final Selling Price will be = Rs.80 – Rs.8
= Rs.72
Discount Percent =
= 28%
So, successive discount of 20% and 10% is 28%
Question 6.
Rajan bought a watch for Z 1870 including VAT at 10%. Find the original price of the watch.
Answer:
VAT = 10%
Selling Price = Rs.1870
Let × be the base price.
Vat Amount = 10% of x
= x/10
Base Price + VAT = Selling Price
× + x/10 = 1870
11x/10 = 1870
× = (1870 × 10) / 11
= Rs.1700
So, Cost Price of watch is Rs.1700
Question 7.
On selling 100 pens, a man gains the selling price of 20 pens. The gain per cent is
A. 20%
B. 25%
C. 16%
D. 15%
Answer:
Let × be the CP of pen
SP of 100 pens = 100x
Gain of 20 Pens = 20x
CP = SP - Gain
= 100 × – 20x
= 80x
= 25%
Question 8.
A man sells a bat for Rs. 100 gaining Rs. 20. His gain per cent is
A. 20%
B. 22%
C. 18%
D. 25%
Answer:
SP = Rs.100
Gain = Rs.20
CP = SP – Gain
= 100 – 20
= Rs.80
= 25%
Question 9.
The selling price of an article is of the cost price. The gain per cent is
A. 15%
B. 20%
C. 25%
D. 30%
Answer:
Let × be the CP
SP = 6x/5
Gain = SP –CP
= 6x/5 – x
=x/5
= 20%
Question 10.
On selling a chair for Rs. 680, a man loses 15%. To gain 15%, it must be sold for
A. Rs. 800
B. Rs. 860
C. Rs. 920
D. Rs. 884
Answer:
SP = Rs.680
Loss % = 15
= Rs.800
= Rs.920
Question 11.
A dealer lists his goods at 20% above cost price and allows a discount of 10%. His gain per cent is
A. 10%
B. 9%
C. 8%
D. 12%
Answer:
Let CP will be Rs.100
Marked Price = Rs.120
10% Discount on Marked Price = 10% of Rs.120
= Rs.12
So, SP = 120 -12
= Rs.108
Gain = SP – CP
= 108 – 100
= Rs.8
= (8 × 100) / 100
= 8%
Question 12.
The price of a watch including 8% VAT is Rs.810. What is its basic price?
A. Rs. 675
B. Rs. 729
C. Rs. 750
D. Rs. 745
Answer:
VAT = 8%
Selling Price = Rs.810
Let × be the base price.
Vat Amount = 8% of x
= 8x/100
Base Price + VAT = Selling Price
× + 8x/100 = 810
108x/100 = 810
× = (810 × 100) / 108
= Rs.750
So, Cost Price of watch is Rs.750
Question 13.
Fill in the blanks.
(i) The discount is reckoned on the ____ price.
(ii) Gain or loss is always reckoned on the ______
(iii) SP = (Marked price) - (_____)
(iv) VAT is charged on the _______ of the article.
Answer:
(i) Marked
Selling Price = Marked Price - Discount
(ii) Cost price
If seller sells any item greater than Cost Price, it is said to have a Gain.
Gain = SP - CP
If seller sells any item less than Cost Price, it is said to have a Loss.
Loss = CP – SP
(iii) Discount
SP is the amount that we pay for an article when purchased.
Marked Price is the price that is without any discount.
Discount is amount which we get as a rebate for purchasing the article.
(iv) Selling price
VAT is always charged on the Selling Price of an article and not on the MRP.
Question 14.
Write ‘T’ for true and 'F' for false for each of the following:
(i) SP=
(ii) CP = 
(iii) Gain is reckoned on the selling price.
(iv) The discount is allowed on the marked price.
Answer:
(i) False
SP = ((100 – Loss %) / 100) × CP
(ii) True
(iii) False
If seller sells any item greater than Cost Price, it is said to have a Gain.
Gain = SP - CP
(iv) T
Discount = Marked Price – Selling Price