Buy BOOKS at Discounted Price

Profit, Loss, Discount And Value Added Tax (vat)

Class 8th Mathematics RD Sharma Solution
Exercise 13.1
  1. A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain and gain…
  2. Rekha bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and…
  3. A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain…
  4. The cost price of 10 articles is equal to the selling price of 9 articles. Find…
  5. A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. If he…
  6. A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If…
  7. A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its repairs. If he…
  8. Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the…
  9. If theselling price of 10 pens is equal to cost price of 14 pens, find the gain…
  10. If the selling price of 18 chairs be equal to selling price of 16 chairs, find…
  11. If the selling price of 18 oranges is equal to the cost price of 16 oranges,…
  12. Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs 1680 on…
  13. By selling a book for Rs 258, a bookseller gains 20%. For how much should he…
  14. A defective briefcase costing Rs 800 is being sold at a loss of 8%. If the…
  15. By selling 90 ball pens for Rs 160 a person loses 20%. How many ball pens…
  16. A man sells an article at a profit of 25%. If he had bought it at 20% less and…
  17. A dishonest shopkeeper professes to sell pulses at his cost price but uses a…
  18. A dealer bought two tables for Rs 3120. He sold one of them at loss of 15% and…
  19. Mariam bought two fans for Rs 3605. She sold one at a profit of 15% and the…
  20. Some toffees are bought at the rate of 11 for Rs 10 and the same number at the…
  21. A tricycle is slold at a gain of 16%. Had it been sold for Rs 100 more, the…
  22. Shabana bought 16 dozen ball bens and sold them at a loss equal to S.P. of 8…
  23. The difference between two selling prices of a shirt at profits of 4% and 5%…
  24. Toshiba bought 100 hens for Rs 8000 and sold 20 of these at a gain of 5%. At…
Exercise 13.2
  1. Find the S.P. if (i) M.P. = Rs. 1300 and Discount = 10% (ii) M.P. = Rs. 500 and…
  2. Find the M.P., if (i) S.P. = Rs. 1222 and Discount = 6% (ii) S.P. = Rs. 495 and…
  3. Find the discount in percent when (i) M.P. = Rs. 900 and S.P. = Rs. 873 (ii)…
  4. A shop selling sewing machines offers 3% discount on all cash purchases. What…
  5. The marked price of a ceiling fan is Rs. 720. During off season, it is sold for…
  6. On the eve of Gandhi Jayanti a saree is sold for Rs. 720 after allowing 20%…
  7. After allowing a discount of 7 1/2 % on the marked price, an article is sold…
  8. A shopkeeper allows his customers 10% off on the marked price of goods and…
  9. A shopkeeper allows 20% off on the marked price of goods and still gets a…
  10. A tradesman marks his goods at such a price that after allowing a discount of…
  11. A shopkeeper marks his goods in such a way that after allowing a discount of…
  12. A cycle dealer offers a discount of 10% and still makes a profit of 26%. What…
  13. A shopkeeper allows 23% commission in his advertised price and still makes a…
  14. A shopkeeper marked his goods at 40% above the cost price but allows a…
  15. By selling a pair of earings at a discount of 25% on the marked price, a…
  16. A publisher gives 32% discount on the printed price of a book to booksellers.…
  17. After allowing a discount of 20% on the marked price of a lamp, a trader loses…
  18. The list price of a table fan is Rs. 480 and it is available to a retailer at…
  19. Rohit buys items at 25% discount on the marked price. He sells it for Rs. 660,…
  20. A cycle merchant allows 20% discount on the marked price of the cycles and…
  21. Jyoti and Meena run a ready-made garment shop. They mark the garments at such…
  22. What price should Aslam mark on a pair of shoes which costs him Rs. 1200 so as…
  23. Jasmine allows 4% discount on the marked price of her goods and still earns a…
  24. A shopkeeper offers 10% off-season discount to the customers and still makes a…
  25. A lady shopkeeper allows her customers 10% discount on the marked price of the…
Exercise 13.3
  1. The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to…
  2. Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list…
  3. Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price…
  4. Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at…
  5. Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. Find the rate of…
  6. Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting…
  7. The cost of furniture inclusive of VAT is Rs. 7150. If the rate of VAT is 10%,…
  8. A refrigerator is available for Rs. 13750 including VAT. If the rate of VAT is…
  9. A colour T.V. is available for Rs. 13440 inclusive of VAT. If the original cost…
  10. Reena goes to ashop to buy a radio, costing Rs. 2568. The rate of VAT is 7%.…
  11. Rajat goes to a departmental store and buys the following articles: Item Price…
  12. Ajit buys a motorcycle for Rs. 17600 including value added tax. If the rate of…
  13. Manoj buys a leather coat costing Rs. 900 at Rs. 990 after paying the VAT.…
  14. Rakesh goes to a departmental store and purchases the following articles : (i)…
  15. Rajeeta purchased a set of cosmetics. She paid Rs. 165 for it including VAT.…
  16. Sunita purchases a bicycle for Rs. 660. She has paid a VAT of 10%. Find the…
  17. The sales price of a television, inclusive of VAT, is Rs. 13,500. If VAT is…
  18. Shikha purchased a car with a marked price of Rs. 210000 at a discount of 5%.…
  19. Shruti bought a set of cosmetic items for Rs. 345 including 15% value added…
  20. List price of a cooler is Rs. 2563. The rate of VAT is 10%. The customer…
  21. List price of a washing machine is Rs. 9000. If the dealer allows a discount…
Exercise 13.1
Question 1.

A student buys a pen for Rs 90 and sells it for Rs 100. Find his gain and gain percent.
Answer:

Cost price of pen = Rs. 90


Selling price of pen = Rs. 100


Hence,


Gain = selling price – cost price = 100 – 90 = Rs. 10


Gain% =



Question 2.

Rekha bought a saree for Rs 1240 and sold it for Rs 1147. Find her loss and loss percent.
Answer:

Cost price of saree = Rs.1240


Selling piece of saree = Rs.1147


Loss = cost price – selling price = 1240 – 1147 = Rs. 93


=



Question 3.

A boy buys 9 apples for Rs 9.60 and sells them at 11 for Rs 12. Find his gain or loss percent.
Answer:

Cost price of 9 apples = Rs.9.60


∴ cost price of 1 apple = Rs.


Selling price of 11 apple = Rs. 12


∴ selling price of 1 apple = Rs.


Gain =


=



Question 4.

The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
Answer:

Cost price of 10 article = selling price of 9 article


Let CP of 1 article = Rs. X


Selling price of 9 article = 10X


Selling price of 1 article =


Hence,


Profit =


=



Question 5.

A retailer buys a radio for Rs 225. His overhead expenses are Rs 15. If he sells the radio for Rs 300, determine his profit percent.
Answer:

Cost price of radio = Rs.225


Overhead expenses = Rs. 15


Total cost = cost price + overhead expenses = 225+15 = Rs. 240


Selling price of radio = Rs.300


Gain = 300 – 240 = Rs. 60


=



Question 6.

A retailer buys a cooler for Rs 1200 and overhead expenses on it are Rs 40. If the coller for Rs 1550, determine his profit percent.
Answer:

Cost price of cooler = Rs.1200


Overhead expenses = Rs. 40


Total cost = 1200+40 = Rs. 1240


Selling price of cooler = Rs.1550


Gain = 1550 - 1240 = Rs.310


=



Question 7.

A dealer buys a wristwatch for Rs 225 and spends Rs 15 on its repairs. If he sells the same for Rs 300, find his profit percent.
Answer:

Cost price of wrist watch = Rs.225


Cost of repairing = Rs.15


Total cost = Rs. 225+15 = Rs.240


Selling price of watch = Rs. 300


Gain = Rs. 300-240 = Rs.60


=



Question 8.

Ramesh bought two boxes for Rs 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.
Answer:

Cost price of two boxes = Rs. 1300


Let cost price of one box = Rs. X


∴ Cost price of other box = Rs. 1300 – x


Selling price of first box =


Selling price of second box =


We have,


=


=


=


Hence,


Cost price of first box = Rs. 550


Cost price of second box = 1300 – 550 = Rs. 750
Question 9.

If theselling price of 10 pens is equal to cost price of 14 pens, find the gain percent.
Answer:

Selling price of 10 pens = cost price of 14 pens


Let cost price of 1 pen = Rs. X


Selling price of 10 pens = Rs.14X


Selling price of 1 pen =Rs.


Gain =


=


=



Question 10.

If the selling price of 18 chairs be equal to selling price of 16 chairs, find the gain or loss percent.
Answer:

Cost price of 18 chairs = selling price of 16 chairs


Let cost price of 1 chair = Rs. X


Selling price of 16 chairs =Rs. 18X


Selling price of 1 chair = Rs.


Gain =


= %
Question 11.

If the selling price of 18 oranges is equal to the cost price of 16 oranges, find the loss percent.
Answer:

Selling price of 18 oranges = cost price of 16 oranges


Let cost price of 1 orange = Rs. X


Selling price of 18 oranges = Rs. 16X


∴selling price of 1 orange =


Loss =


= %
Question 12.

Ravish sold his motorcycle to Vineet at a loss of 28%. Vineet spent Rs 1680 on its repairs and sold the motor cycle to Rahul for Rs 35910, thereby making a profit of 12.5%, find the cost price of the motor cycle for Ravish.
Answer:

Let cost price of motorcycle for ravish = Rs. X


Loss% for ravish = 28%


Selling price for Ravish =


Selling price for Ravish = cost price for vineet =


Cost of repairing by vineet = Rs.1680


Total cost for vineet =


Selling price for vineet = Rs. 35910


Profit =


Profit percentage = 12.5% Given


Hence, by formula


=


=


= 162x = 6804000


=


∴ cost price of motorcycle for Ravish = Rs.42000
Question 13.

By selling a book for Rs 258, a bookseller gains 20%. For how much should he sell it to gain 30%?
Answer:

Selling price of book = Rs.258


Gain% = 20


Let cost price of book = Rs. X


So,


=


=


=


Cost price of book = Rs. 215


For a gain 30% he must sold the book at =



Question 14.

A defective briefcase costing Rs 800 is being sold at a loss of 8%. If the price is further reduced by 5%, find its selling price.
Answer:

Cost price of briefcase = Rs. 800


loss% = 8%


selling price of box =


it is further reduced by 5% ( Given)


New selling price =



Question 15.

By selling 90 ball pens for Rs 160 a person loses 20%. How many ball pens should be sold for rs 96 so as to have profit of 20%?
Answer:

Selling price of 90 ball pens = Rs. 160


Selling price of 1 ball pen = Rs.


Loss% = 20%


Let cost price of 1 pen = Rs. X


So,


=


Cost price of 1 ball pen = Rs.


To get profit of 20%...


Let no.of pens = x


Selling price of x pens = Rs. 96


Selling price of 1 pen = Rs.


By formula ,


=


= 20 =


=


= x = 36


Hence,


Number of ball pens can be purchased = 36.
Question 16.

A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs 36.75 less, he would have gained 30%. Find the cost price of the article.
Answer:

Let the cost price of article = Rs. X


Profit% = 25%


Selling price of article =


If CP of article is 20% less (given)


Now CP becomes =


Now SP =


Profit % = 30%


By formula,


=


= 30 =


=


=


Cost price of article = Rs.175
Question 17.

A dishonest shopkeeper professes to sell pulses at his cost price but uses a false weight of 950 gm for each kilogram. Find his gain percent.
Answer:

Let cost price of 1000gm pulses = Rs.x


But, SP of 950 gm pulses = Rs.x


∴ SP of 1000 gm pulses = 1000


Gain =


Gain% = %
Question 18.

A dealer bought two tables for Rs 3120. He sold one of them at loss of 15% and other at a gain of 36%. Then, he found that each table was sould for the same price. Find the cost price of each table.
Answer:

Cost price of 2 tables = Rs.3120


Let CP of first table = Rs. X


Then, CP of second table would be = Rs. 3120 – x


Let first table is sold at a gain and second at loss.


Selling price of first table =


Selling price of second table =


We have,


=


=221x = 85×3120


= x =


Cost price of first table = Rs.1920


Cost price of second table = 3120 – 1920 = Rs.1200
Question 19.

Mariam bought two fans for Rs 3605. She sold one at a profit of 15% and the other at a loss of 9%. If Mariam obtained the same amount for each fan, find the cost price of each fan.
Answer:

Cost price of 2 fans = Rs.3605


let cost price of 1 fan = Rs.x


then CP of other fan would be = Rs. 3605 – x


let first fan is sold at profit and second at a loss.


Selling price of first fan =


Selling price of second fan =


We have ,


=


=


=


Cost price of one fan = Rs.1592.50


Cost price of second fan = 3605 – 1592.50 = Rs.2012.50
Question 20.

Some toffees are bought at the rate of 11 for Rs 10 and the same number at the rate of 9 for Rs 10. If the whole lot is sold at one rupee per toffee, find the gain or loss percent on the whole transaction.
Answer:

In set (i)


CP of 11 toffees = Rs.10


CP of 1 toffee = Rs.


In set


CP of 9 toffees = Rs.10


CP of 1 toffee = Rs.


After mixing both sets ….


CP of 2 toffees =


CP of 1 toffee = Rs.


SP of 1 toffee = Rs


Loss =


=



Question 21.

A tricycle is slold at a gain of 16%. Had it been sold for Rs 100 more, the gain would have been 20%. Find the C.P. of the tricycle.
Answer:

Let CP of tricycle = Rs.x


Gain% = 16%


Selling price of tricycle =


If selling price is Rs. 100 more


Gain = 20%


= 20 = ×100


=


=


= x =


∴CP of tricycle = Rs.2500
Question 22.

Shabana bought 16 dozen ball bens and sold them at a loss equal to S.P. of 8 ball pens. Find

(i) her loss percent

(ii) S.P. of 1 dozen ball pens, if she purchased these 16 dozen ball pens for Rs 576.
Answer:

She bought 16 dozen ball pen


Loss for 16 dozen pen = SP of 8 ball pen


Let CP of each pen = Rs. X


CP of 16 dozen ball pen = 16×12× x


= loss = 8SP


= 16×12× x = 16×12× SP = 8SP


= 16×12× x = 200 SP


= SP =


Loss% =


If CP of 16 dozen ball pen = RS.576


= 16×12× x


= x =


Selling price of one pen =


Selling price of dozen pen =



Question 23.

The difference between two selling prices of a shirt at profits of 4% and 5% is Rs 6.

(i) C.P. of the shirt

(ii) The two selling prices of the shirt
Answer:

Case 1 :


Cost Price = x


Profit =


Selling Price = C.P. + Profit =


Case 2:


Cost Price = x


Profit =


Selling Price = C.P. + Profit =


Given that, the difference between the profits is Rs. 6


Therefore,


= 600


So,


C.P. = Rs. 600


Selling Price of shirt 1 = Rs 624


Selling Price of shirt 2 = = Rs 630
Question 24.

Toshiba bought 100 hens for Rs 8000 and sold 20 of these at a gain of 5%. At what gain percent she must sell the remaining hens so as to gain 20% on the whole?
Answer:

Toshiba bought one hen for = 80 each.
gain of 5% on 80 = (1.05×80) = 84 each
or (20×84) = 1680 total
she want a total of 20% gain on 8000 =
(1.2×8000) = 9600 total
she need to make 9600 - 1680 = 7920 total on the last 80 hens.
she originally paid (80×80) = 6400 for those hens.
= 1.2375


so she need 23.75% gain on the remaining hens
Exercise 13.2
Question 1.

Find the S.P. if

(i) M.P. = Rs. 1300 and Discount = 10%

(ii) M.P. = Rs. 500 and Discount = 15%
Answer:

(i) Given,


M.P. = 1300


Discount = 10%







(ii) Given,


M.P. = 500


Discount = 15%
Question 2.

Find the M.P., if

(i) S.P. = Rs. 1222 and Discount = 6%

(ii) S.P. = Rs. 495 and Discount = 1%
Answer:

(i) Given,


S.P. = Rs. 1222


Discount = 6%






M.P. = 1300/-


(ii) Given,


S.P. = Rs. 495


Discount = 1%






M.P. = 500
Question 3.

Find the discount in percent when

(i) M.P. = Rs. 900 and S.P. = Rs. 873

(ii) M.P. = Rs. 500 and S.P. = Rs. 425
Answer:

(i) Given,


M.P. = Rs. 900


S.P. = Rs. 873


Discount = M.P. – S.P.


= 900 – 873


= 27


Discount % =


=


(ii) Given,


M.P. = Rs. 500


S.P. = Rs. 425


% Discount =





Question 4.

A shop selling sewing machines offers 3% discount on all cash purchases. What cash amount does a customer pay for a sewing machine the price of which is marked as Rs. 650.
Answer:

Given,


Marked Price = Rs 650/-


Discount = 3%


Discount =





Customer has to pay = 630.50/-
Question 5.

The marked price of a ceiling fan is Rs. 720. During off season, it is sold for Rs. 684. Determine the discount percent.
Answer:

Given,


Marked price = 720


Selling price = 684


Discount = M.P. – S.P.


= 720 - 684 = 36


% discount =


=


Discount = 5%
Question 6.

On the eve of Gandhi Jayanti a saree is sold for Rs. 720 after allowing 20% discount. What is its marked price?
Answer:

Given,


Saree is sold for Rs 720 = S.P.


Discount = 20%




720 =


M.P. =


M.P. = 900
Question 7.

After allowing a discount of 7% on the marked price, an article is sold for Rs. 555. Find its marked price.
Answer:

Given,


Discount =


S.P. = 555 Rs


= discount%




555 = M.P.


M.P. =


M.P. = 600/-
Question 8.

A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 250?
Answer:

Given,


10% off on marked price of goods


So,


Discount = 10%


And M.P. = 250/-




S.P. =


S.P. = 225


And he gets 25% profit



= S.P. – C.P.



C.P. =


C.P. = 180/-
Question 9.

A shopkeeper allows 20% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs. 500?
Answer:

Given,


M.P. = 500


Discount = 20%


Discount =


S.P. =


S.P. = 400


He gets the profit of 25%





C.P. = 320


So, he gets the article for Rs 320/-
Question 10.

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?
Answer:

Given,


C.P. of the article = 170 Rs.


Profit = 20%





S.P. = 204


And discount = 15%



= M.P. – S.P.


S.P. = M.P.


M.P. = = 240


M.P. = 240/-
Question 11.

A shopkeeper marks his goods in such a way that after allowing a discount of 25% on the marked price, he still makes a profit of 50%. Find the ratio of the C.P. to the M.P.
Answer:

Given,


Discount = 25%



= M.P. – S.P.


….(i)


And given profit = 50%




….(ii)


We know (i) = (ii)




Ratio C.P. to M.P. = 1:2
Question 12.

A cycle dealer offers a discount of 10% and still makes a profit of 26%. What is the actual cost to him of a cycle whose marked price is Rs. 840?
Answer:

Given,


Marked price on cycle = 840


Discount = 10%


S.P. of cycle = 756/-


Profit = 26%



S.P. =


C.P. = 600/-
Question 13.

A shopkeeper allows 23% commission in his advertised price and still makes a profit of 10%. If he gains Rs. 56 on one item, find his advertised price.
Answer:

Let advertised price be X


Commission is 23% on advertised price


Selling price = …(i)


Given profit = 56


Profit % = 10



C.P. = 560


Profit = S.P. – C.P. = 56


S.P. = 560+56


S.P. = 616/-


From equation (i)




X = 800/-
Question 14.

A shopkeeper marked his goods at 40% above the cost price but allows a discount of 5% for cash payment to his customers. What actual profit does he make, if he receive Rs. 1064 after pating the discount?
Answer:

Given,


Shopkeeper marks his goods at 40% above the cost price.


Let cost price e ‘X’


Marked price is (40 more than 100 if CP is 100)


Discount on marked price is 5%





Given S.P. = 1064


1064 =



X = 800


Cost price is 800


Selling price is 1064


Profit will be = 1064 – 800 = 264/-
Question 15.

By selling a pair of earings at a discount of 25% on the marked price, a jeweller makes a profit of 16%. If the profit is Rs. 48, what is the cost price? What is the marked price and the price at which the pair was eventually bought?
Answer:

Given,


Earings are bought at 25% discount


Profit of seller = 16%




C.P. = 200


Cost price of ear ring = 300/-


And profit = 48


S.P. – C.P. = 48


S.P. = C.P. + 48


S.P. = 348


And given discount = 25%





So, marked price = 464/-
Question 16.

A publisher gives 32% discount on the printed price of a book to booksellers. What does a book seller pay for a book whose printed price is Rs. 275?
Answer:

Given,


Printed price = 275


Discount = 32%


We have


Discount % =


32 =




S.P. = 187/-


Book Seller should pay = 187/-
Question 17.

After allowing a discount of 20% on the marked price of a lamp, a trader loses 10%. By what percentage is the marked price above the cost price?
Answer:

Given,


Discount = 20%



S.P. = …(i)


And trader lose is 10%



…(ii)


We have to find out % of marked price above cost price



=


=


=


% of marked price above cost price = 12.5%
Question 18.

The list price of a table fan is Rs. 480 and it is available to a retailer at 25% discount. For how much should a retailer sell it to gain 15%?
Answer:

Given,


List price of table fan = Rs 480


M.P. = 480


Retailer buys it at discount 25%


Cost price for the retailer is


C.P. =


C.P. = 36


Retails sells it to get 15%


15% =


S.P. =


S.P. =


S.P. = 414


Retailer should sell it for Rs 414 to get 15% gain
Question 19.

Rohit buys items at 25% discount on the marked price. He sells it for Rs. 660, making a profit of 10%. What is the marked price of the item?
Answer:

Given,


S.P. of item by Rohit = 660


10% profit





Rohit bought that item for Rs 600/- at 25% discount.


This is the selling price for shopkeeper


He offers 25% discount





600 =


M.P. =


MP = 800/-
Question 20.

A cycle merchant allows 20% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs. 360 over the sale of one cycle, find the marked price of the cycle.
Answer:

Given,


Gain on one cycle = Rs.360


Gain = 20%


Gain % =


= 20 =


= CP = Rs. 1800


Selling price =


DISCOUNT = 20% Given


Hence,


Marked price =


Marked price of one cycle = Rs.2700
Question 21.

Jyoti and Meena run a ready-made garment shop. They mark the garments at such a price that even after allowing a discount of 12.5%, they make a profit of 10%. Find the marked price of a suit which costs them Rs. 1470.
Answer:

Given,


CP of suit = Rs.1470


Gain = 10%


So,


SP = Rs.


Discount = 12.5%


So,


MP= Rs.


The marked price of suit = Rs.1848
Question 22.

What price should Aslam mark on a pair of shoes which costs him Rs. 1200 so as to gain 12% after allowing a discount of 16%?
Answer:

Given,


CP of pair of shoes = Rs.1470


Gain = 12%


Discount = 16%


So,


SP = Rs.


Now,


Selling price = Rs.1344


Discount = 16%


So,


MP = Rs.


Aslam should sell the pair of shoes = Rs.1600
Question 23.

Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt for her marked at Rs. 850?
Answer:

Given,


MP of the shirt = Rs. 850


Discount = 4 %


Discount allowed =


So,


Selling price of shirt = Rs.(850 – 34) = Rs.816


Profit earned by Jasmine = 20%


CP =


Cost price of shirt = Rs.680
Question 24.

A shopkeeper offers 10% off-season discount to the customers and still makes a profit of 26%. What is the cost price for the shopkeeper on a pair of shoes marked at Rs. 1120?
Answer:

Given,


MP of pair of shoes = Rs.1120


Discount = 10%


So,


SP = MP


Profit = 26%


SP = Rs.1008


Hence,


CP =


Cost price of the pair of shoes = Rs.800
Question 25.

A lady shopkeeper allows her customers 10% discount on the marked price of the goods and still gets a profit of 25%. What is the cost price of a fan for her marked at Rs. 1250
Answer:

Given,


MP of the fan = Rs.1250


Discount = 10%


So,


Discount =


We know that,


SP = MP – Discount = Rs.(1250 – 125) = Rs.1125


Now,


SP of fan = Rs.1125


Profit = 25%


CP =


The cost price of fan = Rs. 900
Exercise 13.3
Question 1.

The list price of a refrigerator is Rs. 9700. If a value added tax of 6% is to be charged on it, how much one has to pay to buy the refrigerator?
Answer:

Given,


List price of refrigerator = Rs.9700


VAT = 6%


So,


Vat = 6% of 9700 =


Total amount one has to pay = Rs.( 9700 + 582) = Rs. 10282
Question 2.

Vikram bought a watch for Rs. 825. If this amount includes 10% VAT on the list prices. What was the list price of the watch?
Answer:

Given,


VAT =10%


Let list price of watch = Rs. X


Total price of watch =


Vikram bought watch for Rs. 825


Hence,


=


=


=


List price of watch = Rs.750
Question 3.

Aman bought a shirt for Rs. 374.50 which includes 7% VAT. Find the list price of the shirt.
Answer:

Given,


VAT = 7%


Let list price of shirt = Rs. X


So,


=


=


=


Hence,


List price of shirt = Rs.350
Question 4.

Rani purchases a pair of shoes whose sale price is Rs. 175. If she pays VAT at the rate of 7%, how much amount does she pay as VAT? Also, find the net value of the pair of shoes.
Answer:

Given,


Sale price of shoes = Rs.175


VAT = 7%


= 7% of 175 =


∴ Net value of pair of shoes = sale price +VAT


= 175 + 12.25 = Rs.187.25
Question 5.

Swarna paid Rs. 20 as VAT on a pair of shoes worth Rs. 250. Find the rate of VAT.
Answer:

Given,


List price of shoes = Rs.250


Let VAT = X %


= X% of 250=20…………………Given


=


Hence,


VAT = 8%
Question 6.

Sarita buys goods worth Rs. 5500. She gets a rebate of 5% on it. After getting the rebate if VAT at the rate of 5% is charged, find the amount she will have to pay for the goods.
Answer:

Given,


Price of goods = Rs.5500


Discount = 5%


So,


Selling price =


And,


VAT = 5% of selling price


=


Amount



Question 7.

The cost of furniture inclusive of VAT is Rs. 7150. If the rate of VAT is 10%, find the original cost of the furniture.
Answer:

Given,


Cost of furniture inclusive VAT = Rs.7150


VAT = 10%


Let the original cost of furniture = Rs. X


So,


=


=


=


Hence,


Original cost of furniture = Rs. 6500
Question 8.

A refrigerator is available for Rs. 13750 including VAT. If the rate of VAT is 10%, find the original cost of the refrigerator.
Answer:

Given,


Cost of refrigerator inclusive VAT = Rs.13750


Rate of VAT = 10%


So,


=


=


=


Hence,


Original cost of furniture = Rs.12500
Question 9.

A colour T.V. is available for Rs. 13440 inclusive of VAT. If the original cost of TV is Rs. 12000, find the rate of VAT.
Answer:

Given,


Cost of TV including VAT = RS.13440


Original cost = Rs.12000


Let rate of VAT = x%


So,


=


=


=


Hence,


Rate of VAT = 12%
Question 10.

Reena goes to ashop to buy a radio, costing Rs. 2568. The rate of VAT is 7%. She tells the shopkeeper to reduce the price of the radio such that she has to pay Rs. 2568, inclusive of VAT. Find the reduction needed in the price of radio.
Answer:

Given,


Cost of radio = Rs.2568


Rate of VAT = 7%


Let the reduced price, excluding VAT of the radio = Rs.X


= VAT = 7 % of Rs. X = Rs.


Hence,


Selling price of radio = Rs.


Selling price = Rs.2568……………………………..Given


So,


=


=


Reduction needed in price of radio = Rs.( 2568 – 2400) = Rs.168
Question 11.

Rajat goes to a departmental store and buys the following articles:


Calculate the total amount he has to pay to the store.
Answer:

Given,


CP of 2 pair of shoes = Rs.800×2 = Rs.1600


Rate of VAT = 5%


So,


VAT = 5% of 1600 =


∴ Amount Rajat need to pay for 2 pair of shoes = Rs.(1600+80) = Rs.1680


CP of 1 sewing machine = Rs.1500


Rate of VAT = 6%


= 6% of 1500 =


∴ Amount Rajat needs to pay for 1 sewing machine = Rs.(1500+90) = Rs. 1590


Given


CP of 2 tea-sets = Rs.650 ×2 = Rs.1300


Rate of VAT = 4 %


= 4% of 1300 =


∴ Amount Rajat needs to pay for 2 tea-sets = Rs.(1300+52 ) = Rs.1352


Hence,


Total amount Rajat needs to pay = Rs(1680+1590+1352) = Rs.4662
Question 12.

Ajit buys a motorcycle for Rs. 17600 including value added tax. If the rate of VAT is 10%, what is the sale price of the motorcycle?
Answer:

Given,


Rate of VAT = 10%


Cost of motorcycle including VAT = Rs. 17600


Let the sale price = Rs.X


=


=


=


Hence,


Sale price of motorcycle = Rs.16000
Question 13.

Manoj buys a leather coat costing Rs. 900 at Rs. 990 after paying the VAT. Calaulate the rate of VAT chaged on the coat.
Answer:

Given,


Let the rate of VAT = x%


So,


VAT = 900


According to the question,


= 900 + 9x = 990


= 9x = 90


= x = 10


Hence,


Manoj was charged 10% VAT on leather jacket.
Question 14.

Rakesh goes to a departmental store and purchases the following articles :

(i) biscuits and bakery products costing Rs. 50, VAT @ 5%

(ii) medicine costing Rs.90, VAT @ 10%

(iii) clothes costing Rs. 400, VAT @ 1% and

(iv) cosmetics costing Rs. 150, VAT @ 10%.

Calculate the total amount to be paid by Rakesh to the store.
Answer:

(i) Given,


Cost of biscuits and bakery products = Rs. 50


VAT = 5%


So, VAT = 5% of 50 =


Total amount paid for biscuits and bakery products = Rs.(50+2.50) =Rs.52.50


(ii) Given,


Cost of medicine = Rs.90


VAT = 10%


So, VAT = 10% of 90 =


Total amount paid for medicines = Rs.(90+9) =Rs.99


(iii) Given,


Cost of clothes = Rs.400


VAT = 1%


So, VAT = 1% of 400 =


Total amount paid for clothes = Rs.(400+4) = Rs.404


(iv) Given,


Cost of cosmetics = Rs.150


VAT = 10%


So, VAT = 10% of 150 =


Total amount paid for cosmetics = Rs(150+15) = Rs.165


Hence,


Total amount Rakesh paid at departmental store = Rs.(52.50+99+404+165) =Rs.720.50
Question 15.

Rajeeta purchased a set of cosmetics. She paid Rs. 165 for it including VAT. If the rate of VAT is 10%, find the sale price of the set.
Answer:

Given,


Rate of VAT = 10%


Cost of set = Rs.165


Let sale price of set = Rs.X


=


=


=


Hence,


Sale price of set = Rs.150
Question 16.

Sunita purchases a bicycle for Rs. 660. She has paid a VAT of 10%. Find the list price of the bicycle?
Answer:

Given,


Rate of VAT = 10%


Cost of bicycle = Rs.660


Let sale price of bicycle = Rs.X


So,


=


=


Hence,


List price of bicycle = Rs.600
Question 17.

The sales price of a television, inclusive of VAT, is Rs. 13,500. If VAT is charged at the rate of 8% of the list price, find the list price of the television.
Answer:

Given,


Let ‘x’ be list price of television


VAT = 8% of x





X = 12500/-


List price of television = 12500/-
Question 18.

Shikha purchased a car with a marked price of Rs. 210000 at a discount of 5%. If VAT is charged at the rate of 10%, find the amount Shikha had paid for purchasing the car.
Answer:

Given,


Marked price = Rs 210000


Discount = 5%



S.P. = M.P.


S.P. =


S.P. = 199500


VAT = 10% on S.P.


=


Total cost shikha has to pay for purchasing the Car = 199500 + 19950 = 219450 Rs
Question 19.

Shruti bought a set of cosmetic items for Rs. 345 including 15% value added tax and a purse for Rs. 110 including 10% VAT. What percent is the VAT charged on the whole transaction?
Answer:

Let x be the price of cosmetic


VAT =



X =


Let Y be the price of purse


VAT =



Y =


Total cost excluding VAT = 300+100 = 400


Let 3% be VAT percentage



3 =


VAT on whole transaction = 13.75%
Question 20.

List price of a cooler is Rs. 2563. The rate of VAT is 10%. The customer requests the shopkeeper to allow a discount in the price of the cooler to such an extent that the price remains Rs. 2563 inclusive of VAT. Find the discount in the price of the cooler.
Answer:

Given,


Let X be the buying price of customer excluding VAT


VAT =



X =


X = 2330


But list price of cooler = 2563


Discount in price = 2563 – 2330 = 233
Question 21.

List price of a washing machine is Rs. 9000. If the dealer allows a discount of 5% on the cash payment, how much money will a customer pay to the dealer in cash, if the rate of VAT is 10%?
Answer:

Given,


List price of washing machine = 900


Discount = 5%


Selling price =


VAT = 10% of 8550


=


Total money customer has to pay = 8550+855 = 9405/-