Einstein Classes, Unit No. 102, 103, Vardhman Ring Road Plaza, Vikas Puri Extn., Outer Ring Road New Delhi , Ph. : ,

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Nora Fleming
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1 P&L - PROFIT AND LOSS. When the selling price of an article is Rs 280, the loss percentage is 20%. What is the loss or gain percentage, if the selling price is increased to Rs 80? 4 5 (a) 8 %, profit (b) 4 %, loss (c) % 9, profit (d) 4 %, profit 2. A man buys 25 chairs for Rs 75 and sells them at a profit equal to the selling price of 5 chairs. What is the selling price of one chair? (a) Rs 8.75 (b) Rs 4.50 (c) Rs 5.20 (d) Rs If a man reduces the selling price of a fan from Rs 400 to Rs 80, his loss increases from x% to (x + 4)%. What is the cost price of the fan? (a) Rs 420 (b) Rs 550 (c) Rs 500 (d) Rs A dishonest seller uses a weight of 800 g in place of kg and adds 20% impurities in sugar. What would be his profit percentage, if he claims to sell the goods at the cost price? (a) 50% (b) 40% (c) 25% (d) 45.5% 5. A business man marked the price of his goods 0% more than his cost price. He then sells 4 of his stock at a discount of 5%, and half of the stock at the marked price, and rest at a discount of 0%. Find his gain percentage. (a) 6.5% (b) 5 % 8 (c) 4.20% (d).7% 6. If a selling price of Rs 24 results in a 20% discount of the list price, the selling price that would result in a 0% discount off the list price, is (a) Rs 6 (b) Rs 2 (c) Rs 25 (d) Rs 7. A trader marks his goods 20% above the cost price and allows a discount of 5% on it. Find his gain percent (a) 4% (b) 5% (c) % (d) 2% 8. By mixing two qualities of pulses in the ratio 2 : and selling the mixture at a ate of Rs 22 per kilogram, a shopkeeper makes a profit of 0%. If the cost of smaller quantity be Rs 4 per kg, the cost per kilogram of the larger quantity is (a) Rs 2 (b) Rs 24 (c) Rs 25 (d) none of these 9. A bought an article and spent Rs 0 on its repair. He then sold it to B at 20% profit, B sold it to C at a loss of 0% and C sold it for Rs 88 at a profit of 0%. What is the amount for which A bought the article? (a) Rs 850 (b) Rs 950 (c) Rs 90 (d) Rs A person earns 5% on an investment but loses 0% on another investment. If the ratio of the two investments be : 5, what is the gain or loss on the two investments taken together? (a) 6 % loss (b) % gain 4 8 (c) % loss (d) none of these 8. A man bought an article and sold it at a gain of 5%. If he had bought it at 5% less and sold it for Re less, he would have made a profit of 0%. The cost price of the article was (a) Rs (b) Rs 50 (c) Rs 200 (d) Rs An electronic items dealer bought 0 washing machines and 5 microwave ovens for Rs 2,05,000. He sold 80% of the washing machines and 2 microwave ovens for a profit of Rs 40,000. Each washing machine was marked up by 20% over cost and each microwave oven was sold at a profit of Rs 2,000. The remaining washing machines and microwave ovens could not be sold. What is the dealer s over all profit/loss? (a) Rs 2500, loss (b) Rs 0, loss (c) Rs 0, profit (d) Rs 2500, profit. A watch dealer sells watches at Rs 800 per watch. Due to competition he gives two successive discounts of 0% and 5% respectively. However recovers the sales tax on the net sale price from the customer at 5% of the net price. What price does a customer has to pay him to buy a watch? (a) Rs (b) Rs (c) Rs (d) Rs 64.0 New Delhi 0 08, Ph. : , 85272

2 P&L A shopkeeper calculates profit percentage on the cost price and another on the selling price. What will be their difference in profits, if both claim a profit of 25% on goods sold for Rs 4000? (a) Rs 250 (b) Rs 25 (c) Rs 200 (d) none of these 5. A shopkeeper buys an article for Rs 650 and marks it for sale at a price that gives him 70% profit on the cost price. He, however, gives a discount of 20% on the marked price to his customer. Calculate the actual percentage profit made by the shopkeeper. (a) 5% (b) 50% (c) 6% (d) 26% 6. A trader purchases apples at Rs 60 per hundred. He spends 5% on the transportation. What should be the selling price per to earn a profit of 20%? (a) Rs 72 (b) Rs 8.80 (c) Rs (d) Rs A shopkeeper allows a discount of 2.5% on the marked price of a certain article and makes a profit of 20%. If the article costs the shopkeeper Rs 20, what price must be marked on the article? (a) Rs 280 (b) Rs 288 (c) Rs 00 (d) none of these 8. A dealer marks articles at a price that gives him a profit of 0%. 6% of the consignment of goods was lost in a fire in his premises, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment? (a) 2% (b) 2.5% (c) % (d) 6.2% 9. An article costing Rs 40 was marked 25% above the cost price. If it is sold to a customer after giving two successive discounts of the same percentage he pays Rs What would be the percentage change in profit, if the price of the article is increased successively twice instead of reducing it. (a) % (b) + 500% (c) % (d) % 20. A trademan fixes his selling price of goods at 20% above the cost price. He sells half the stock at his price, One fourth of the stock at a discount of 5% on the original selling price and rest at a discount of 20% on the selling price. Find the gain percentage altogether. (a) 8.5% (b) 0% (c) 7.5% (d) 9.5% New Delhi 0 08, Ph. : , 85272

3 P&L - A N S W E R S. a 2. a. c 4. a 5. b 6. b 7. d 8. b 9. d 0. d. c 2. b. b 4. a 5. c 6. c 7. b 8. c 9. c 20. d SOLUTIONS. The cost price of an article at a loss of 20% 280 Rs New SP of an article = Rs 80 Profit = = Rs Hence, profit % = 8 % SP of 25 chairs = CP of 25 chairs + profit SP of 25 chairs = CP of 25 chairs + SP of 5 chairs ( profit = SP of 5 chairs) SP of 20 chairs = CP of 25 chairs SP of 20 chairs = Rs 75 SP of one chair = Rs Difference of SP = Difference of loss/profit = [(x + 4) (x)]% 20 = 4% 20 % = Rs Let the CP of kg of sugar be Rs 0. After adding 20% impurity in the sugar, the CP of 200 kg of sugar becomes Rs 0. Since, he is selling the sugar at the CP, then SP of 800 g of sugar will be Rs 0. (as he is cheating the buyer to the extent of 20% by way of false weight). SP of 800 g of sugar = Rs 0 0 CP of 800 g of sugar = Rs = Rs Proft = Rs 0 Rs Pr ofit Profit % = CP 0 50% Let the cost price of items be Rs. Marked price of the same = Rs 0 SP of 25 items th at a discount of 5% 4 0 = Rs Rs SP of 50 items at the marked price 2 0 = Rs 50 Rs 65 SP of 25 items at the discount of 0% 4 0 = Rs Rs Total selling price = Rs Profit % = % 5 % 8 6. Let the list price of the article be Rs x. Then, x 0.8 = 24 x = Rs 0 Required selling price = Rs = Rs 2 7. Let the CP of the goods be Rs Then, marked price of the goods = Rs 20 Selling price of the goods at a discount or 5% = Rs = Rs 02 Gain % = 2% 8. Let the price per kg of other type of pulse be Rs y and the quantity of different pulses be 2x kg and x kg. New Delhi 0 08, Ph. : , 85272

4 P&L - 4 Cost price of 5x kg of pulses = Rs (28x + xy) SP of 5x kg of pulses = Rs 0 x Profit = 0x (28x + xy) = 82x xy = Rs x (82 y) x(82 y) Profit % = 0 (given) x(28 y) y = Let the CP of A is Rs x ( x 0) ( x 0) x + 0 = 0 x = 0 0 = Rs Let the two investments be Rs x and Rs 5x Investment after 5% gain = Rs x.5 = Rs.45 x Investment after 0% loss = Rs 5x 0.9 = Rs 4.50 x Total resultant investment taken together = Rs 7.95 x Loss % = % 8x 8. Let the CP of the article be Rs x. Then, SP =.05x New CP = 0.95 x New SP =. 0.95x = Rs.045x Now, it is given that difference between two SP is Re x = Re or x = Rs Number of washing machines bought = 0 Number of oven bought = 5 Number of washing machine sold = 8 Number of oven sold = 2 Profit on 2 oven = Rs Profit on 8 washing machine = Rs 40,000 24,000 = Rs 6,000 Let the CP of one washing machine be Rs x. Then,.2 8x 8x = Rs 6,000 x = Rs 0,000 Cost price of 0 washing machine = Rs,00,000 and cost price of 5 oven = Rs,05,000 Selling price of 8 washing machine = 80,000.2 = Rs 96,000 Selling price of 2 oven = 84, ,000 = Rs,08,000 Total SP = 2,04,000 Loss = Rs,000. Selling price of the watch = Rs = Rs Profit on SP = Rs 0 CP = Rs (4000 0) = Rs 000 Now, profit on CP = Rs 750 Difference in profit = Rs (0 750) = Rs CP of the article = Rs 650 MP of the article = Rs = Rs 05 SP of the article after a discount of 20% = Rs = Rs 884 Profit = Rs ( ) = Rs Profit % = 6% Cost price of apples after expenses = Rs 60.5 = Rs 69 SP at a profit of 20% = Rs 69.2 = Rs Cost price of the article = Rs 20 Selling price at a profit of 20% = Rs 252 MP = Rs MP = Rs Rs Let the CP of articles be Rs and MP of articles = Rs 0 Selling price of 24 articles = Rs 2 Selling price of remaining 70 articles = Rs 9 Amount recovered through sale = = Rs 0 Profit = Rs (0 ) = Rs and Profit % = % New Delhi 0 08, Ph. : , 85272

5 P&L Cost price of the article = Rs 40 Marked price of the article = Rs 50 Let he allows two successive discount of x % each, ( x) ( x) then 50 Rs ( x) 2 = 8 ( x) = 90 x = 0 New selling price = 50.. = Rs Original profit = Rs ( ) = Rs 0.50 New profit = Rs ( ) = Rs Change in profit = ( ) = Rs Hence, change in profit % = 4000 % Let the CP of articles be Rs. MP of the articles = Rs 20. SP of 50 articles = Rs 60. SP of 25 articles = Rs = Rs SP of rest 25 articles = Rs = Rs SP of all the articles = Rs 09.5 Profit = Rs 9.50 and profit % = 9.5 % New Delhi 0 08, Ph. : , 85272

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

Class 8: Chapter 14 - Profit & Loss - Execise-14B Q. 1 Find the selling price when: i. C.P. = Rs. 7640 Gain=15% ii. S. P. = (1 + 15 ) 7640 = 8786 Rs. C.P. = Rs.4850, Loss=12% S. P. = (1 12 ) 4850 = 4268