Class 8: Chapter 14 - Profit & Loss - Execise-14B

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1 Class 8: Chapter 14 - Profit & Loss - Execise-14B Q. 1 Find the selling price when: i. C.P. = Rs Gain=15% ii. S. P. = ( ) 7640 = 8786 Rs. C.P. = Rs.4850, Loss=12% S. P. = (1 12 ) 4850 = 4268 Rs. iii. C.P. = Rs.720, Loss=8 3 4 %% S. P. = ( ) 720 = 657 Rs. iv. C.P. = Rs.2652, Gain= %% S. P. = ( ) 2652 = 3094 Rs. Q.2 Find the Cost Price, When; i. S.P. = Rs.207, Gain 15% C. P. = ( ) 207 = 180 Rs ii. S.P. = Rs , Loss 17% C. P. = ( ) = 540 Rs. 17 iii. S.P. = Rs.1479, Gain 6 1 %% 4 C. P. = ( ) 1479 = 1392 Rs. 4 iv. S.P. = Rs , Loss 8% 1

2 C. P. = ( ) = 665 Rs. 8 Q.3 A Sells a cycle to B at a Profit of 20% and B Sells it to C at a Profit of 5%. If C pays Rs.3780, What did A Pay for it? Let C.P. of A = x Then, S.P. of A = C.P. of B = 1.2 x S.P. of B = (1.2x) (1.05) =1.26x 1.26 x = 3780 x = 3000 Hence A Paid Rs for the cycle. Q.4 A Sold a watch to B at 12% gain and B had to sell if it Manu at a loss of 5%. If C Paid Rs then how much did A Pay? Let C.P. of A = x C.P. of B =1.12x Then, S.P. of A = C.P. of B = 1.2 x S.P. of B = (1.12x) (0.95) =1.064x x = 5320 x = 5000 Hence A Paid Rs.5000 for the Watch Q.5 A Grocer Purchase 80 kg of Rice at Rs.27/Kg and mixed it with 120 kg of rice purchased at Rs. 32/kg. At what rate per kg should he sell the mixture to gain 16%? Let Total C.P. = = 6000 For 16% gain Total S.P. = ( +16 ) 6000 = 6960 Total Quantity = = 200 kg Hence S.P. per kg = = 34.8 Rs./kg 2

3 Q.6 A Bought two bags for Rs each. A the sold one of them at a gain of 6% and the other at a loss of 2%. How much did A Gain? Total C.P. = 1150 x 2 = 2300 Rs. Total S. P. = ( ) ( ) 1150 = = 2346 Rs. Gain % = ( ) = 2% 2300 Q.7 A trader purchased a wall clock and a watch for a sum of Rs He sold them making a profit of 10% on the wall clock and 15% on the watch he earns Rs Find the cost price of the wall clock and that of the watch. Let the C.P. of wall clock = x Let the C.P. of Watch = y x + y = 5070 Also 1.1x y = Solving for x and y we get = x =1820 Rs. & y = 3250 Rs. Hence Cost of Wall Clock=1820 Rs. and Cost of Watch = 3250 Rs. Q.8 Toffees are bought at 15 for Rs.20. How many toffees would be sold for Rs.20 so as to gain 25%? C.P. of 15 Toffees = Rs.20, C.P. of 1 Toffee = Rs. For 25% gain, S.P. of 1 Toffee = = Rs. number of toffees that you can sell in 20 Rs = 20 = = 12 Toffees 25/15 25 Q.9 Two-thirds of a consignment was sold at a profit of 5% and the remaining at a loss of 2%. If the total profit was Rs.4000, Find the value at which the consignment was purchase? 3

4 Let the C.P. of Consignment = x 2 3 x x 0.98 = x x + x = x x = 4000 or x = Rs 300 Q.10 A Grocer bought sugar worth Rs He sold 1/3 of it at 10% Gain. At what gain % the remaining sugar be sold to have a 12% gain on the whole? C.P. of sugar = 4500 Rs. Let the Gain % of on the remaining sugar = x % x 4500 (1 + ) = x 4500 (1 + ) = x = 5040 or x = 13% Q.11 A Man buys a piece of land for Rs He sells 2/5 of at a loss of 6%. At what Gain %, the remaining piece of land be sold to gain 10% on the whole? C.P. of land = Rs. 2/5 the of land sold at a loss of 6% Let s the remainder be sold at x % gain ( x) = Solving for x we get x = % x (1 + ) = Q.12 By Selling a car for Rs.10416, a man gain 12%. What will be his gain or loss percent if it is sold for Rs Let the cost of the car = x, 4

5 ( ) x = or x = 9300 Rs. x = 9300Rs. If S.P = Rs Loss % = ( ) = 2% 9300 Q.13 A Chair sold for Rs.2142 at a Gain at 5% At what price should it be sold to gain 10% Let The C.P. of chair = x Then, (1 + 5 ) x = 2142 or x = 2040 Rs. For 10% Gain S. P. = ( ) 2040 = 2244 Rs. Q.14 A television is sold for Rs at a loss of 4%. For how much it should have been sold be gain 4%? Let the C.P. of Television = x, (1 4 ) x = 9360 or x = 9750 Rs To gain 4%, S. P. = (1 + 4 ) 9750 = Rs. Q.15 A shop keeper sold two fans at Rs each. On one he gained 10%, while other he cost 10%. Calculate the gain or loan percent on whole transaction? Let C.P. of 1 st fan = x Rs. Let C.P. of 2 nd fan= y Rs., ( ) x = 1980 or x = 1800 Similarly (1 10 ) y = 1980 or y =

6 Hence, Total C.P. = = 4000 Rs. Total S.P. = = 3960 Rs Loss % = ( ) = 1% 4000 Q.16 Shanti sold two cameras for Rs each. On one she lost 5%, while on the other she gained 15%. Find the gain or loss percentage in whole transaction. Let, C.P. of 1 st Camera = x Let C.P. of 2 nd Camera = y, (1 5 ) x = 6555 or x = 6900 Similarly ( ) y = 6555 or y = 5700 Total C.P. = = Rs. Total S.P. = = Rs Gain % = ( ) = % Q.17 By selling 45 lemons for Rs. 40, a man loses 20% how many should he sell for Rs. 24 to gain 20% on the transaction. Let C.P. of a lemon = x Rs. S.P. of one Lemon = Rs. ( ) x = 50 or x = 10 9 Rs. To gain 20% on the transaction, S. P. of one Lemon = ( ) 10 9 = 4 3 Rs Need to be sold for 24Rs. = 24 = 18 Lemons 4/3 6

7 Q.18 A sold a pressure cooker at a loss of 8%. Had she bought it at 10% less and sold for Rs.176 more, she would have gained 20%. Find the cost price of the pressure cooker. Let the cost of pressure cooker = x S.P. = 0.92x New C.P. = 0.9x New S.P. = 0.92x Gain % 0.92x x 0.9x 0.2x = x = 20 2x = 8x or x = 1 Rs. Cost of the cooker = 1 Rs. Q.19 A Man sold a toaster at a profit of 10%. Had he purchased of for 5% less and sold it for 56Rs. more, he would have gained 25%. How much did he buy for? Answer Let, C.P. of Toaster = x S.P. of Toaster = 1.1x New C.P. = 0.95x New S.P. 1.1x + 56 Gain = 25% : 1.1x x 0.95x 0.15x x = 25 = 25 15x = 23.75x or x = 640 Rs. The man bought the toaster for Rs.640 Q.20 A shopkeeper sells each of his goods at a gain of 22 1 %. If on any day, his total sell was 2 Rs. 9408, what was? i. The total cost of all goods sold on that day ii. His profit of that day Answer i. Let the total C.P. of goods = x 7

8 , ( ) x = 9408 or x = 7680 Rs. ii. Profit for day = =1728 Rs. 8

Quantitative Aptitude 10. PROFIT AND LOSS

Quantitative Aptitude 10. PROFIT AND LOSS 10. PROFIT AND LOSS Cost Price: The price at which an article is purchased, is called the cost price or CP. Selling Price: The price at which an article is sold is called the selling price or SP. Formulae: