Mathematics  Profit and Loss  Set 1
1. The profit earned by selling an article for Rs. 900 is double the loss incurred when the same article is sold for Rs. 450. At what price should the article be sold to make 25% profit?
(a) Rs. 600 (b) Rs. 750 (c) Rs. 800 (d) Data inadequate 2. A tradesman marks his goods 10% above his cost price. If he allows his customers 10% discount on the marked price, how much profit or loss does he make, if any ? (SSC CGL 1999) (a) 1% gain (b) 1% loss (c) 5% gain (d) no gain, no loss 3. Two lots of onions with equal quantity, one costing Rs. 10 per kg and the other costing Rs. 15 per kg, are mixed together and whole lot is sold at Rs. 15 per kg. What is the profit or loss ? (CDS 2013) (a) 10% loss (b) 10% profit (c) 20% profit (d) 20% loss 4. Arun purchased 30 kg of wheat at the rate of Rs 11.50 per kg and 20 kg of wheat at the rate of Rs. 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should he sell the mixture to make 30% profit ? (a) Rs. 14.80 (b) Rs. 15.40 (c) Rs. 15.60 (d) Rs. 16.30 Directions (Q.No. 56) : Answer the questions based on the following information. Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x unit is '240 + bx + cx^2', where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the production cost by 66.67%. However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit. (CAT 2007) 5. How many units should Mr. David produce daily ? (a) 100 (b) 70 (c) 150 (d) 130 (e) Cannot be determined 6. What is the maximum daily profit, in rupees, that Mr. David can realize from his business ? (a) 920 (b) 840 (c) 760 (d) 620 (e) cannot be determined 7. A person sold an article for Rs. 136 and got 15% loss. Had he sold it for Rs. x, he would have got a profit of 15%. Which one of the following is correct ? (CDS 2012) (a) 190 < x < 200 (b) 180 < x < 190 (c) 170 < x < 180 (d) 160 < x < 170 8. A man sold two watches, each for Rs. 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss or gain percentage in the transaction ? (a) 1% gain (b) 1% loss (c) 100/99% loss (d) No gain, no profit 9. A man bought a number of oranges at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20% ? (CDS 2010) (a) Rs. 4 (b) Rs. 5 (c) Rs. 6 (d) Rs. 7 10. Peter bought an item at 20% discount on its original price. He sold it with 40% increase on the price he bought it. The new sale price is by what percent more than the original price ? (a) 7.5 (b) 8 (c) 10 (d) 12 11. A shopkeeper sold a T.V. set for Rs. 17940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered ? (a) 24.8 (b) 25 (c) 26.4 (d) None of these 12. Tarun got 30% concession on the labelled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labelled price ? (a) Rs. 10000 (b) Rs. 12000 (c) Rs. 16000 (d) Data inadequate 13. Kunal bought a suitcase with 15% discount on the labelled price. He sold the suitcase for Rs. 2880 with 20% profit on the labelled price. At what price did he buy the suitcase ? (a) Rs. 2040 (b) Rs. 2400 (c) Rs. 2604 (d) Rs. 2640 14. After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark on his good ? (a) 28.56 (b) 35 (c) 22.22 (d) None of these 15. A shopkeeper purchased 15 kg of variety A rice at Rs. 'x' per kg and 10 kg of variety B rice at Rs. 'x+5' per kg. The shopkeeper sold whole quantity of variety A rice at 10% profit and that of variety B rice at 20% profit. The total selling price of variety A rice was Rs. 30 more than that of variety B rice. Had the two varieties been mixed and sold at an overall profit of 20% , what would have been the selling price (per kg) ? (a) 23.20 (b) 24.20 (c) 25.00 (d) 26.40 ANSWERS

