Grade 8 Profit-Loss and Discounts

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1 ID : ww-8-profit-loss-and-discounts [1] Grade 8 Profit-Loss and Discounts For more such worksheets visit Answer t he quest ions (1) A shopkeeper sells two quality of tea at rate of $ 44 per kg. and $ 42 per kg, gaining 10% and 20% prof it respectively. If he mixes the two variants in the ratio 3:2 and sells the mixture at $ 32.3 per kg., what is his gain or loss? (2) Jason purchased 1440 CDs f or his shop at $16 each. During transportation 144 CDs got damaged, and he sold remaining CDs at price of $18 each. Find overall prof it/loss in %. (3) A shopkeeper provides two successive discount of 15% and 10% on selling an article. If the selling price is $ 765, f ind the marked price of the article. (4) A shopkeeper mixes two variants of rices in ratio 2:1. The f irst variety costs $24 per kg, while other costs 27 per kg. If the mixed rice is sold at price of 20 per kg. Find the prof it/loss incurred by shopkeeper. (5) A shopkeeper gives 20% discount on all items. If the discounted price of a sof a is $7200, f ind the original price of the sof a. Choose correct answer(s) f rom given choice (6) Due to 10% discount of f ered by a shop, price of a bag reduces by $ 320. Find the original price of bag. a. $ 3840 b. $ 3200 c. $ 3520 d. $ 2880 (7) Betty sells her two houses at the rate of $ 6 lacs each. On one house she gains 9% while on other house she incurs a loss of 9%. Find her total loss/gain in whole transaction. a. 0.81% loss b. 8.1% prof it c. 0.81% prof it d. 8.1% loss (8) A shopkeeper buys 15 mobile phones f or $ If he sells them f or a prof it of 15%, f ind the selling price of one mobile phone. a. $ 4416 b. $ 5520 c. $ 4968 d. $ 6624 (9) If 960 glasses are bought at the rate of $16 each, and 864 are sold at rate of 24 each. Find the overall prof it/loss. a. 45% prof it b. 25% prof it c. 35% prof it d. 40% prof it

2 ID : ww-8-profit-loss-and-discounts [2] Fill in the blanks (10) A shopkeeper sold a racket at a loss of 14%. Had he sold it f or $ 31 more, he would have gained 17%. The cost price of racket is $ Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : ww-8-profit-loss-and-discounts [3] (1) 15% loss (2) 1.25% prof it According to the question, Jason purchased 1440 CDs f or his shop at $16 each. Cost Price, CP = = $23040 During transportation 144 CDs got damaged. Remaining CDs = = 1296 He sold remaining 1296 CDs at price of $18 each. Selling price, SP = = $23328 Prof it = SP - CP = = $288 Step 5 Prof it % = Prof it CP = = = 1.25 Step 6 Theref ore, there is 1.25% profit.

4 (3) $0 ID : ww-8-profit-loss-and-discounts [4] Let the marked price of the article be x. According to the question, shopkeeper provides two successive discount of 15% and 10% on selling an article. % Selling price f or a discount of 15% = - 15 = 85%, Similarity, % Selling price f or a discount of 10% = - 10 = 90% Now selling price will be 90% of 85% of cost price. i.e., 90% of 85% of x = % of ( 85x ) = x = x = x = $0 Theref ore, the marked price of the article is $0.

5 (4) 20% loss ID : ww-8-profit-loss-and-discounts [5] Since ratio of two variants of rices is in ration 2:1, lets assume that shopkeeper bought 2p and p kgs of two variants respectively Cost Price, C.P. = (2p 24) + (p 27) = 75 p Selling price, S.P. = (2p + p) 20 = 60 p Loss = Cost Price - Selling Price = 75p - 60p = 15p Loss % = ( Loss C.P. ) = ( 15p = 20 75p ) Step 5 Theref ore, the loss is 20%.

6 (5) $ 9000 ID : ww-8-profit-loss-and-discounts [6] Let us assume the original price of the sof a is x. The discount given by the shopkeeper on all items = 20%. 20 Thus, the discounted price of the sof a = x - x = x - 20x = x - 20x = 80x According to the question, the discounted price of the sof a = $7200. Theref ore, 80x = x = 80 x = 9000 Theref ore, the original price of the sof a is $9000.

7 (6) b. $ 3200 ID : ww-8-profit-loss-and-discounts [7] Let us assume the price of a bag is x. Discount of f ered = 10% of x = 10 x = 10x According to the question, the price of the bag reduces by $320. T hreref ore, 10x = x = 10 x = 3200 Theref ore, the original price of bag is $3200.

8 (7) a. 0.81% loss ID : ww-8-profit-loss-and-discounts [8] Lets assume buying price of one house is x and buying price of another house is y It is given that both houses are solve at $6 lacs with a prof it and loss of 9%, x (1 + 9/) = y (1-9/) = $6 lacs 1.09 x = 0.91 y x = (0.91/1.09) y Now lets calculate overall prof it/loss, Buying price, = x + y = (0.91/1.09) y + y, Selling price, = 1.09 x y = 1.09(0.91/1.09) y y = 0.91 y y = y Overall %prof it, = = = = Selling price - buying price Buying price ( y) - [(0.91/1.09) y + y] (0.91/1.09) y + y (2 0.91) - [(0.91/1.09) + 1] (0.91/1.09) (2 0.91) - [ ] (2 0.91) - 2 = 2 = ( ) = (( ) (1-0.09) - 1) = ( ) = ( ) = -0.81% Since prof it is negative, it is overall loss of 0.81%.

9 (8) b. $ 5520 ID : ww-8-profit-loss-and-discounts [9] The cost price of 15 mobile phones = $ The cost price of 1 mobile phone = = $ According to the question, the shopkeeper makes 15% prof it on selling of mobile phones. + prof it% We know that, selling price = cost price = = 115 = Theref ore, the selling price of one mobile phone is $5520. (9) c. 35% prof it According to the question, 960 glasses are bought at the rate of $16 each. Cost Price, C.P. = = $15360 Also, 864 are sold at the rate of $24 each. Selling Price, S.P. = = $20736 Prof it % = ( S.P. - C.P. C.P. ) = = 35 Theref ore, the overall prof it is 35%.

10 (10) ID : ww-8-profit-loss-and-discounts [10] Lets assume the cost price of toy is Rs. x. If you read the question caref ully, you will notice that the shopkeeper sold a racket at a loss of 14%. 14 or loss = x The sale price of racket = cost price of toy - loss = x - x 14 If he sold it f or $ 31 more, he would have gained 17%, The sale price of racket = x - x (1) Gain = x 17 Step 5 Now the sale price of racket = cost price of racket + gain = x + x Step (2) By comparing equation (1) and (2), LHS(Lef t Hand Side) are equal theref ore the RHS(Right Hand Side) are also equal x + x 17 = x - x x + 17x - x + 14x = 31 17x + 14x = 31 17x + 14x = 31 31x = 31 x = 3 31 x = Step 7 Theref ore the cost price of racket is $.

11 ID : ww-8-profit-loss-and-discounts [11]

Class 8 Profit-Loss and Discounts

ID : in-8-profit-loss-and-discounts [1] Class 8 Profit-Loss and Discounts For more such worksheets visit www.edugain.com Answer t he quest ions (1) A shopkeeper gives 10% discount on all items. If the