Profit And Loss
Class 9th Mathematics West Bengal Board Solution
- Let us fill up the following table:
- From the graph, let us find out the answers of the following questions: (a) Let us…
- Subir uncle has sold a clock at the price Rs. 176. If the loss of Subir uncle is 12% by…
- Anoarabibi has sold each dozen lemons at Rs. 42 by buying 10 lemons at Rs. 30. Let us…
- Amalbabu sold a picture at 20% loss. But the made a profit of 5% if he sold it with Rs.…
- Supriya has bought a clock. If she sells the clock at Rs. 370, her profit will be equal…
- My elder sister has bought an umbrella from Arun uncle’s shop at Rs. 255. If Arun uncle…
- My friend has bought a story book at 25% discount on written price. If he sells the…
- Niyamotchacha has bought 150 eggs at the rate of Rs. 5 each. But after bringing to the…
- Asifchacha sold a toy at 5% profit. If the cost price of the toy is less by 20% and…
- There is a loss of 4% by selling 12 commodities at Rs. 1. To make 44% profit how money…
- By producing two sharis, Rama aunti sold one shari at 15% profit and another at 20%…
- One man bought some toffees at the rate of Rs. 2 for 15 pieces. He sold them at the…
- Afsarchacha made two wooden chair with same price and he put the market price for each…
- The market price of a special type of pens is Rs. 36.50. By selling the pen to Shuvam…
- A publisher expended Rs. 3, 875 for buying papers, Rs. 3,315 for printing and Rs. 810…
- Hasimabibi sold each of two handloom factories at Rs. 1248. She makes a profit of 4%…
- karim makes a loss of 19% by selling a mobile phone to Mohan at Rs. 4860. If Mohan…
- Firojchacha got total Rs. 719.50 by selling a pant at 20% profit and shirt at 15%…
- Rabi uncle bought rice at Rs. 3000. He sold y^rd/3 part of rice at 20% loss and 2^ln/5…
- A trader by selling one kind of tea at Rs. 80/kg. makes a loss of 20% and makes a…
- Subalbabu of Antpur, by producing rice sells it to a wholesaler Sahanabibi at 20%…
- In a market, at the time of selling jute bag, the producer, wholesaler and retailer…
- The production cost and the cost prices of a cycle at different levels are: (i) Let us…
- The ratio of cost price and selling price is 10:11, the profit percentage isA. 9 B. 11…
- Buying a book at Rs. 40 and selling it at Rs. 60, the profit percentage will beA. 50…
- A shirt is sold at Rs. 360 and there is a loss of 10%. The cost price of the shirt…
- After 20% discount, the selling price of a geometry box becomes Rs. 48. The market…
- A retailer buys medicine at 20% discount on marked price and sells to buyer at marked…
- If 20% profit is on cost price, what is profit percentage on selling price?…
- If 20% profit is on selling price, what is the profit percentage on cost price?…
- By selling 110 mangoes, if the cost price of 120 mangoes has been got, what will be…
- To submit electricity bill in due time, 15% discount can be obtained. Sumonbabu has…
- A commodity is sold at Rs. 480 with a loss of 20% on selling price, what is the cost…
- If a commodity is sold with successive discounts of 20% and 10%, what will be the…
Let Us Work Out 10.1
Question 1.Let us fill up the following table:
Answer:
Formula used.
Loss/profit percent = 
× 100
Profit = Selling price – Cost price
Loss = Cost price – Selling price
(1). Cost price = Rs. 500 Profit %= 25
Loss/profit percent 
25 = 
×100
Profit = 25×5= Rs. 125
Selling price = Cost price + Profit
Selling price = Rs. 500 + Rs. 125 = Rs. 625
(2). Cost price = Rs. 300 Loss %= 7
Loss/profit percent = × 100
7 = 
×100
Loss = 7×3= Rs. 21
Selling price = Cost price – Loss
Selling price = Rs. 300 – Rs. 21 = Rs. 279
(3). Cost price = Rs. 1250 Loss %= 8
Loss/profit percent = × 100
8 = 
×100
Loss = 2×50= Rs. 100
Selling price = Cost price – Loss
Selling price = Rs. 1250 – Rs. 100 = Rs. 1150
(4). Selling price = Rs. 23000 Profit %= 15
Loss/profit percent = × 100
15 = 
×100
Profit = Rs. 
Selling price = Cost price + Profit
Rs. 23000 = Rs. x + Rs. = Rs. 
x = 20000
Profit = 
= 3000
Question 2.
From the graph, let us find out the answers of the following questions:
(a) Let us write the relation between cost price and selling price by observing the graph.
(b) Let us write the selling price if the production cost of the jute bag is Rs. 60
(c) Let us write the production cost if the selling price of the jute bag is Rs. 125 by observing the graph.
(d) Let us calculate and write the percentage profit/loss from the graph.
(e) Let us write the percentage profit/loss on selling price from the graph.
Answer:
Formula used.
Loss/profit percent = × 100
(a). If we take point (40,50)
We get
40y = 50x
4y × 10 = 5x × 10
∴y= 
× x
(b). If productive cost of jute is Rs. 60
Then x= 60
y = ×60
y = 
=Rs. 75
(c). By watching graph
We can see that having y =Rs. 125
Where line crosses at point having x = Rs. 100
∴ Cost price will be Rs. 100
(d). For writing Profit %
Let’s take point (40,50)
Where cost price = Rs. 40
Profit = Selling price – Cost price
= 50 – 40 = 10
Loss/profit percent = × 100
Profit % = 
× 100
=25%
(e). For writing Profit % on selling price
Let’s take point (40,50)
Where cost price = Rs. 40
Profit = Selling price – Cost price
= 50 – 40 = 10
Loss/profit percent on selling price = 
× 100
Profit % on selling price= 
× 100
=20%
Question 3.
Subir uncle has sold a clock at the price Rs. 176. If the loss of Subir uncle is 12% by selling the clock. Let us calculate and observe that with how much money he has bought the clock.
Answer:
Formula used.
Loss/profit percent = × 100
Loss/profit percent = × 100
12 = 
× 100
12 = 
× 100
12x = 100x – 17600
88x = 17600
x = 
= 200
∴ Cost price of clock was Rs. 200
Question 4.
Anoarabibi has sold each dozen lemons at Rs. 42 by buying 10 lemons at Rs. 30. Let us calculate and observe the percentage profit or loss Anoarabibi has made.
Answer:
Formula used.
Loss/profit percent = × 100
Cost price of 10 lemons = Rs. 30
Cost price of 1 lemons = Rs. 3
Selling price of 12 lemons = Rs. 42
Selling price of 1 lemons = Rs. 
= Rs. 3.5
Total profit = Selling price – Cost price
=3.5 – 3 = 0.5
profit percent = 
× 100
=
× 100
= 16
%
Question 5.
Amalbabu sold a picture at 20% loss. But the made a profit of 5% if he sold it with Rs. 200 more. Let us calculate and observe the cost price of the picture he has bought.
Answer:
Formula Used.
Loss/profit percent = × 100
Let Cost price of picture be X
Then Selling price = Cost price – Loss
= X - 
×X
= 
If he sold it with Rs. 200 more than
+ Rs. 200
He made 5% profit
Selling price = Cost price + Profit
= X + 
= 
⇒ + Rs. 200 = 
= Rs. 200
= Rs. 200
X = Rs. 800
Question 6.
Supriya has bought a clock. If she sells the clock at Rs. 370, her profit will be equal to the loss for selling it at Rs. 210. Let us calculate and write the cost price of the clock.
Answer:
Let the cost price be X
Profit = Selling price – Cost price
Profit = Rs. 370 – X
Loss = Cost price – Selling price
Loss = X – Rs. 210
If profit = loss
Then;
Rs. 370 – X = X – Rs. 210
X+X = Rs. 370 + Rs. 210
2X = Rs. 580
X = 
= Rs. 290
Question 7.
My elder sister has bought an umbrella from Arun uncle’s shop at Rs. 255. If Arun uncle gave 15% discount on the market price, then let us write after calculation the market price of the umbrella.
Answer:
Formula Used.
Loss/profit percent = × 100
Let the market price be X
Then;
15% discount on market price is
X - 
= 
Sold at Rs. 255
Rs. 255 =
X = Rs. 300
∴ Market price of umbrella is Rs. 300
Question 8.
My friend has bought a story book at 25% discount on written price. If he sells the book at written price then let us write the profit percentage after calculation.
Answer:
Formula Used.
Loss/profit percent = × 100
Let the written price be X.
If he avail 25% discount
Then;
X – 
= 
= 
If he sells at written price
Then;
Selling price is X
Cost price is 
Profit = Selling price – Cost price
= 
= 
= 
Loss/profit percent = × 100%
= 
× 100%
= 
%
= 33
%
Question 9.
Niyamotchacha has bought 150 eggs at the rate of Rs. 5 each. But after bringing to the shop, he saw that 8 eggs are broken and 7 eggs are rotten. If he sells each egg at Rs. 6, then what will be the profit/loss percentage of Niyamotchacha — let us calculate and write.
Answer:
Formula used.
Loss/profit percent = × 100
Cost price of 1 egg = Rs. 5
Cost price of 150 egg = Rs. 5×150 = Rs. 750
If 8 eggs are broken and 7 eggs are rotten
Remaining eggs are 150 – 8 – 7=135
Selling price of 1 egg = Rs. 6
Selling price of 135 eggs= Rs. 6×135 = Rs. 810
Profit = Selling price – Cost price
= Rs. 810 – Rs. 750
= Rs. 60
profit percent = × 100%
= 
× 100%
= 8 %
Question 10.
Asifchacha sold a toy at 5% profit. If the cost price of the toy is less by 20% and selling price is less by Rs. 34, then Asifchacha would make a 10% profit. Let us calculate the cost price of the toy.
Answer:
Formula used.
Loss/profit percent = × 100%
Let the cost price be X
Then;
Selling price = X+ = 
= 
If cost price is less by 20%
Then;
X – 
= 
= 
And selling price is less by Rs. 34
– Rs. 34 = 
Profit = Selling price – Cost price
= – 
= 
= 
= 
Loss/profit percent = × 100%
10%= 
×100%
= 
16X = 50X – 6800
34X = 6800
X = 
= 200
∴ Cost price of toy is Rs. 200.
Question 11.
There is a loss of 4% by selling 12 commodities at Rs. 1. To make 44% profit how money commodities have to be sold at Rs. 1?
Answer:
Formula Used.
Loss/profit percent = × 100%
If selling price of 12 commodities = Rs. 1
If selling price of 1 commodities = Rs. 
Let Cost price of 1 commodity be X
⇒ Loss = Cost price – Selling price
= X - = 
Loss/profit percent = × 100%
4% = 
×100
1 = 
×25
12X = 300X – 25
288X = 25
X = 
For 44 % profit
Selling price = Cost price + Profit
Selling price = X+
×X
= 
= 
= 
= 
Selling price of 1 commodity = Rs.
Selling price of 8 commodity = Rs. ×8 = Rs. 1
∴ 8 commodities should be sold in Rs. 1 for 44% profit
Question 12.
By producing two sharis, Rama aunti sold one shari at 15% profit and another at 20% profit. She has made total profit by Rs. 262.50. If the ratios of production costs of two sharis is 1 : 3, what will be the production cost of each of the two sharis?
Answer:
If the ratios of production costs of two sharis is 1 : 3
Then;
Let the production cost be X and 3X
If 1st shari makes 15% profit on productive cost
Then,
Profit = 
If 2nd shari makes 20% profit on productive cost
Then,
Profit = 
Total profit = 
= 
= = Rs. 262.5
3X= Rs. 262.5×4
3X= Rs. 1050
X = 
= Rs. 350
∴ Productive cost of 1st shari = Rs. 350
∴ Productive cost of 2nd shari = Rs. 350×3 = Rs. 1050
Question 13.
One man bought some toffees at the rate of Rs. 2 for 15 pieces. He sold them at the rate of half of money for 5 pieces and at the rate of remaining half of money for 10 pieces. What will be his profit/loss percentage?
Answer:
Cost price of 15 toffees is Rs. 2
Half of money is Rs. 1
He sold 5 toffees for Rs 1
He sold another 10 toffees for Rs. 1
∴ he sold 15 toffees for Rs. 2
Hence he bought at the same rate and sold them at same rate
Profit =0
Loss/profit percent = × 100%
= 
= 0%
∴ Neither Profit nor Loss.
Question 14.
Afsarchacha made two wooden chair with same price and he put the market price for each chair as Rs. 1250. He made a profit of 15% by selling one chair at 8% discount. If he sold the second chair at Rs. 1120, then let us calculate his over-all percentage of profit.
Answer:
Formula used.
Loss/profit percent = × 100%
If the market price of chair is Rs. 1250
By giving 8% discount
Selling price of chair comes to
1250 – 
×1250 = 1250[1 - ] = 1250[
]
= 1250×
=Rs. 1150
When chair sold at Rs. 1150 profit of 15%is made
Then;
Let cost price of chair be X
Then selling price is
X+ = 
= 
While selling price of each chair is Rs. 1150
=Rs. 1150
X=
= Rs. 1000
Profit in 1st chair = 1150 – 1000 = 150
∴ Cost price of each chair is Rs. 1000
Profit in 2nd chair = 1120 – 1000 = 120
Overall profit = 150+120=270
Overall cost price = 1000+1000 = 2000
Overall Loss/profit percent = × 100%
= 
×100 = 13.5%
∴ overall profit percent is 13.5 %
Question 15.
The market price of a special type of pens is Rs. 36.50. By selling the pen to Shuvam with a discount of Rs. 2.90 Rafikchacha makes a profit of 12%. If he sold a pen of that type of Mita at Rs. 34.50, then let us find out his percentage profit in the second pen.
Answer:
Formula sed.
Loss/profit percent = × 100%
Market price of pen is Rs. 36.5
While selling to shuvam
Selling price = Rs. 36.5 – Rs. 2.9
= Rs. 33.6
Profit made by selling to shuvam is 12%
Let cost price of pen be X
Then;
Selling price will be
X+
= 
= 
While selling price is Rs. 33.6
= Rs. 33.6
X = 
= Rs. 30
⇒ Cost price of pen is Rs. 30
While selling to Mita
Selling price = Rs. 34.5
Profit = Selling price – Cost price
= Rs. 34.5 – Rs. 30 = Rs. 4.5
Loss/profit percent = × 100%
= 
= 15%
∴ 15% profit is made while selling to Mita.
Question 16.
A publisher expended Rs. 3, 875 for buying papers, Rs. 3,315 for printing and Rs. 810 for binding of 2000 copies books. He sold to book sellers and makes a profit 20% after giving discount of 20%. Let us determine the market price of each book.
Answer:
Cost price of 2000 books = Rs.[ 3875+3315+810]
= Rs. 8000
Cost price of each book = 
= Rs. 4
For making 20% profit
Selling price = Cost price + Profit
= Rs. 4 + ×Rs. 4
= Rs. 4.8
For giving 20% discount on marked price
Let the marked price be X
Selling price = X - = 
Equating both we get
= Rs. 4.8
X = 
= Rs. 6
∴ Marked price of each book is Rs. 6
Question 17.
Hasimabibi sold each of two handloom factories at Rs. 1248. She makes a profit of 4% for the first, but makes a loss of 4% for the 2nd. What is her overall profit or loss?
Answer:
Formula used.
Loss/profit percent = × 100%
Selling price of each handloom = Rs. 1248
In case of 1st 4% profit is made
Let the cost price of handloom be X
Profit = Selling price – Cost price
= 1248 – X
Loss/profit percent = × 100%
4% = 
× 100%
4X = 124800 – 100X
100X+4X = 124800
104X = 124800
X=
= 1200
Profit = 1248 – 1200 = Rs. 48
In case of 2nd 4% loss is made
Let the cost price of handloom be Y
Loss = Cost price – Selling price
= X – 1248
Loss/profit percent = × 100%
4% = 
× 100%
4X = 100X - 124800
100X – 4X = 124800
96X = 124800
X=
= 1300
Loss = 1300 - 1248 = Rs. 52
Overall = Rs. 48 – Rs52 = – Rs. 4
∴ Overall loss of Rs. 4
Question 18.
karim makes a loss of 19% by selling a mobile phone to Mohan at Rs. 4860. If Mohan sells to Rahim at the same price in which Karim sells to Mohan, then Karim makes a profit of 17%. What is the percentage profit of Mohan?
Answer:
Formula used.
Loss/profit percent = × 100%
Selling price = Rs. 4860
Let Cost price be X
Then selling price = X – 
= 
= 
By equating both
= Rs. 4860
X =Rs. 6000
If Mohan sells at 17% profit
17% = 
× 100%
Profit = 17× 60 = 1020
Total profit = 1020+1320 = 2340
Loss/profit percent = × 100%
Profit percent = 
× 100%
= 50%
Question 19.
Firojchacha got total Rs. 719.50 by selling a pant at 20% profit and shirt at 15% profit. If he would sell the pant at 25% profit and the shirt at 20% profit, then he would get Rs. 30.50 more. Let us calculate the cost prices of the pant and the shirt.
Answer:
Let the cost price of shirt be X
Let the cost price of Pant be Y
selling a pant at 20% profit and shirt at 15% profit.
We get ;
Y+
+X+ = 
= Rs. 719.5
24Y+23X = 14390
selling a pant at 25% profit and shirt at 20% profit.
We get ;
Y+
+X+ = 
= Rs. 719.5+Rs. 30.5 = Rs. 750
25Y+24X = 15000
Subtracting 2nd from 1st
25Y+24X–24Y–23X = 15000 – 14390
X + Y = 610
X = 610 – Y
Placing value of X in 2nd eq
25Y + 24(610 – Y) = 15000
Y = 15000 – 14640 = Rs. 360
X = 610 – 360 =Rs. 250
∴ Cost price of pant is Rs. 360
∴ Cost price of shirt is Rs. 250
Question 20.
Rabi uncle bought rice at Rs. 3000. He sold 
part of rice at 20% loss and 
part of rice at 25% profit. At what percentage profit, the remaining part of rice is to be sold to get overall 10% profit.
Answer:
Overall all profit = 
×Rs. 3000
= Rs. 300
Cost price of 
part of rice = 
= Rs. 1000
If he sells at 20% loss
Loss = × Rs. 1000 = Rs. 200
Cost price of 
part of rice = 
= Rs. 1200
If he sells at 25% Profit
Profit = 
× Rs. 1200 = Rs. Rs 300
Cost price of remaining part = Rs. [3000 – 1200 - 1000]
= Rs. 800
Let’s say he sells at X% profit
Profit = 
× Rs. 800 = Rs. 8X
⇒ Overall all profit = Rs. 300 – Rs. 200 + Rs. 8X
Rs. 300 = Rs. 100 + Rs. 8X
8X = 200
X = 
= 25%
∴ On remaining part 25% profit is to made for overall 10%.
Question 21.
A trader by selling one kind of tea at Rs. 80/kg. makes a loss of 20% and makes a profit of 25% by selling another kind of tea at Rs. 200/kg. At what ratio these two types of tea should be mixed so that by selling it at Rs. 150/kg. the profit would be 25%?
Answer:
If selling at Rs. 80/kg trader makes loss of 20%
Let the cost price be X
Then selling price = X- = = 
=
⇒ = Rs 80
X = 
= Rs. 100
∴ Cost price 1st tea is Rs. 100
If selling at Rs. 200/kg trader makes profit of 25%
Let the cost price be Y
Then selling price = Y + = 
= 
=
⇒
= Rs 200
X = 
= Rs. 160
∴ Cost price 2nd tea is Rs. 160
If selling at Rs. 150/kg trader makes profit of 25%
Let the cost price be Z
Then selling price = Z + 
= 
= 
=
⇒ = Rs 150
Z = 
= Rs. 120
∴ Cost price of mixed tea is Rs. 120
Let the amount of mixture of 1st tea be X
Then the amount of mixture of 2nd tea be 1 – X
X×100 + 160×(1-X) = 120
-60X = 120 – 160 = -40
X = 
1 – X = 1 - =
Therefore
The ratio = : = 2:1
Let Us Work Out 10.2
Question 1.Subalbabu of Antpur, by producing rice sells it to a wholesaler Sahanabibi at 20% profit. Sahanabibi sells that rice to the shopkeeper Utpalbabu at 10% profit. But if Utpalbabu sells this rice at 12% profit, then let us find out the answers of the following questions by drawing picture on a straight line:
(i) Subalbabu has spent Rs. 7500 to produce some amount of rice. Let us calculate and write it with how much money Sahanabibi has bought that amount of rice.
(ii) To produce the some amount of rice Subalbabu has spent Rs. 2500, with how much money Utpalbabu will sell that amount of rice —let us calculate and write it.
(iii) The price at which Utpalbabu sells rice to us, if Subalbabu sells directly at that price then what will be the profit percentage of Subalbabu —let us calculate and write it.
Answer:
As Subalbabu takes profit of 20% on his sale when he sells it to wholesaler Sahanabibi
If cost of production is ₹ 100 then the selling price will be (100 + 20) = ₹ 120.
If cost of production is ₹1 then the selling price 
If cost of production is ₹ ‘x’ then the selling price 
We will plot the graph between Cost price(x-axis) and Selling Price(y-axis) for Subalbabu.
(i) Given cost of production = ₹ 7500
Profit for Subalbabu = 20%
Selling price for Subalbabu = 
= 9000
Cost price for Sahanabibi = Selling price for Subalbabu = ₹ 9000.
(ii) Cost price of production = ₹ 2500
Profit for Subalbabu = 20%
Selling price for Subalbabu = 
Cost price for Sahanabibi = Selling price for Subalbabu = ₹ 3000
Profit for Sahanabibi = 10%
Selling price for Sahanabibi = 
Cost price for Utpalbabu = Selling price for Sahanabibi = ₹ 3300
Profit for Utpalbabu = 12%
Selling price for Subalbabu = 
Final price for the buyer = 3696
So, Utpalbabu sells the rice for ₹ 3696.
(iii) As calculated in (ii), for the production price of₹ 2500, the final selling price to us is ₹ 3696.
Profit for Subalbabu if he sells directly at this price = 
× 100
Profit for Subalbabu if he sells directly at this price = 
× 100 = 47.84%
Question 2.
In a market, at the time of selling jute bag, the producer, wholesaler and retailer make profits of 15%, 20% and 25% respectively. Now if a bag reaches to buyer through producer, wholesaler and retailer, then let us find out the answers of the following questions:
(i) Let us calculate and write the production cost of a bag which is bought by a buyer at Rs. 138.
(ii) Let us calculate and write the price of the bag at which the buyer will buy when its production cost is Rs. 140.
(iii) The bag which a retailer has bought at Rs. 98, let us calculate and write that how much money will be given by a buyer for that bag.
(iv) The bag which the wholesaler has bought at Rs. 175, let us calculate and write that how much money, a buyer will give to buy that bag.
(v) The bag which a buyer has bought at Rs. 276, if that bag would have been bought directly from the wholesaler then how much money would be saved let us calculate and write it.
Answer:
Let the production cost of jute bag be ₹ x.
Now, Profit for producer = 15%
∴ Selling price of producer 
Cost price for wholesaler = selling price of producer 
Profit for wholesaler = 20%
∴ selling price of wholesaler
Cost price for retailer = selling price of wholesaler
Profit for retailer = 25%
∴ selling price of retailer 
(i) Let the production cost of jute bag be ₹ x.
After successive profits by producer, wholesaler and retailer,
The final price for the buyer 
= ₹ 1.725x
⇒ 1.725x = 138
⇒ x = 80
So, the production cost for the jute bag is ₹ 80.
(ii) Given the production cost of jute bag = ₹ 140
After successive profits by producer, wholesaler and retailer,
The final price for the buyer 
= ₹ 241.5
(iii) The cost price for the retailer = ₹ 98
The profit retailer makes on the bag = 25%
The final price for the buyer 
= ₹ 122.5
(iv) The cost price for the wholesaler = ₹ 175
The profit wholesaler makes on the bag = 20%
The successive profit retailer makes on the bag = 25%
The final price for the buyer 
= ₹ 262.5
(v) The buying price of buyer = The selling price for the retailer = ₹ 276
Let the selling price of wholesaler be ‘x’.
Now, as retailer makes 25% profit on wholesaler’s price, therefore buyer’s price will be
⇒ 5x = 1104
⇒ x = 220.8
So, if buyer would have bought directly from wholesaler he would had a profit of (276 - 220.8 = 55.2 ₹)
Question 3.
The production cost and the cost prices of a cycle at different levels are:
(i) Let us calculate, by selling cycle, how much profit percentage, the retailer has made.
(ii) Let us calculate and observe that by selling cycle, what the profit percentage, the wholesaler has made.
(iii) Let us calculate and write the profit percentage, that the producer has made by selling cycle.
(iv) Let us calculate and write that how much profit percentage has to be given more by a buyer than the production cost to buy a cycle.
(v) If a buyer buys a cycle directly from the producer and the producer has a profit of 30%, then how much money, the buyer will save — let us calculate and write it.
Answer:
(i) Cost price for retailer = ₹1449
Selling price for retailer = ₹1666.35
Profit of retailer = × 100
⇒ Profit of retailer = 
× 100 = 15%
(ii) Cost price for wholesaler = ₹1260
Selling price for wholesaler = ₹1449
Profit of wholesaler = × 100
⇒ Profit of wholesaler = 
× 100 = 15%
(iii) Cost price for producer = ₹1050
Selling price for producer = ₹1260
Profit of producer = × 100
⇒ Profit of producer = 
× 100 = 20%
(iv) Final selling price = ₹1666.35
Initial production cost = ₹1050
Total Profit percentage = 
× 100 = 58.7%
(v ) The production cost of cycle = ₹ 1050
Profit for producer = 30%
Selling price of cycle 
= ₹ 1365
The money buyer will save = ₹ (1666.35-1365) = ₹ 301.35
Question 4.
The ratio of cost price and selling price is 10:11, the profit percentage is
A. 9
B. 11
C. 
D. 10
Answer:
Let the cost price be ₹10
The given ratio = 
= 
So, the selling price = 
= ₹ 11
Profit = 
= 10 %
The correct option is (d).
Question 5.
Buying a book at Rs. 40 and selling it at Rs. 60, the profit percentage will be
A. 50
B. 
C. 20
D. 30
Answer:
Cost price of book= ₹40
Selling price of book = ₹60
Profit = × 100
Profit = 
× 100 = 50 %
The correct option is (a).
Question 6.
A shirt is sold at Rs. 360 and there is a loss of 10%. The cost price of the shirt is
A. Rs. 380
B. Rs. 400
C. Rs. 420
D. Rs. 450
Answer:
Let the cost price of the shirt be ₹ x.
Loss percentage = 10 %
Selling price of shirt 
= 0.9x
⇒ 0.9x =360
⇒ x = (360/0.9) = 400
The correct option is (b)
Question 7.
After 20% discount, the selling price of a geometry box becomes Rs. 48. The market price of the geometry box is
A. Rs. 60
B. Rs. 75
C. Rs. 80
D. Rs. 50
Answer:
Let the market price of the geometry box be ₹ x.
Discount percentage = 20 %
Selling price of geometry box
= 0.8x
⇒ 0.8x =48
The correct option is (a)
Question 8.
A retailer buys medicine at 20% discount on marked price and sells to buyer at marked price. The retailer makes a profit percentage.
A. 20
B. 25
C. 10
D. 30
Answer:
Let the market price of the medicine be ₹ x.
Discount percentage = 20 %
The cost price of medicine for retailer = 0.8x
The selling price of medicine for retailer = Market price = ₹ x
Profit = × 100
Profit = 
× 100 = 25 %
Question 9.
If 20% profit is on cost price, what is profit percentage on selling price?
Answer:
Let the cost price be ₹ x
Profit on cost price = 20 %
Selling price 
= 1.2x
Profit on selling price = 
× 100
Profit on selling price = 
× 100
= 16.67%
Question 10.
If 20% profit is on selling price, what is the profit percentage on cost price?
Answer:
Let the selling price be ₹ x
Profit on selling price = 20 %
Cost price
= 0.8x
Profit on cost price = 
× 100
Profit on cost price = 
× 100 = 25%
Question 11.
By selling 110 mangoes, if the cost price of 120 mangoes has been got, what will be the profit percentage?
Answer:
Let the cost price of a mango be ₹ x
Cost price of 120 mangoes = ₹ 120x
Selling price of 110 mangoes = Cost price of 120 mangoes
Selling price of 1 mango = ₹ (120/110)x
Profit = × 100
Profit = 
× 100 = 9.09%
Question 12.
To submit electricity bill in due time, 15% discount can be obtained. Sumonbabu has got Rs. 54 as discount for submission of electricity bill in due time. How much was his electricity bill?
Answer:
Let the electricity bill be ₹ x
Discount on the bill = 15%
Discount amount
= 0.15x
⇒ 0.15x=54
⇒ x = 360.
The amount of electricity bill was ₹ 360.
Question 13.
A commodity is sold at Rs. 480 with a loss of 20% on selling price, what is the cost price of the commodity?
Answer:
Let the cost price of the commodity be ₹ x.
Loss percentage = 20 %
Selling price of commodity 
= 0.8x
⇒ 0.8x = 480
The cost price of the commodity was ₹600.
Question 14.
If a commodity is sold with successive discounts of 20% and 10%, what will be the equivalent discount?
Answer:
Let the market price be x.
First discount = 20%
Therefore, Price with first discount 
Second discount = 10%
Therefore, Selling price after successive discount
Equivalent discount = Percentage loss 
