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PROFIT & LOSS CALCULATION - Sitams.org

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a)1:2 b) 5:8 c) 2:5 d) Can’t be determined<br />

29. A trader purchases two watches. He marks the first one up by Rs.200 over the cost price and<br />

gives a discount of 20% on it. The second one he marks up by 50% and gives a discount of<br />

Rs.160. If he gains 15% on both the watches put together and 8% on the first alone, what is the<br />

percentage of profit on the second watch?<br />

a)21% b) 22% c) 18.5% d) Can’t be determined<br />

30. Jawed sells 2,000 mangoes in a week. He recovers his total cost by selling first 1,200<br />

Mangoes. He sells the next 300 Mangoes for a loss of 20% and he sells the last 500 Mangoes for<br />

a loss of 40%. What is his overall percentage of profit?<br />

a)45% b) 35% c) 27% d) 12.5%<br />

31. The percentage by which the marked price exceeds the cost price of an article and the<br />

percentage of discount allowed on the article are in the ratio of 3:2. If it is sold at the cost price,<br />

what is the percentage of discount allowed?<br />

a)20% b) 25% c) 331/3% d) 50%<br />

Solution :If CP is raised by 3x %, the discount should be 2x %. Also, after discount SP=CP =><br />

increase of 3x% X decrease of 2x%. From inspection, 33.33% discount => 50% increase (since<br />

3:2) and 1.5 X 0.6666 = 1.<br />

32. The purchase prices of three articles are in the ratio 3:4:5 the first one is sold at a profit of<br />

10% and the second at a loss of 7.5%. If the overall percentage of profit or loss of the first two<br />

articles is the same as the percentage profit or loss of all the articles taken together, what is the<br />

percentage of profit or loss in the case of the third article?<br />

a)8.75 b) 1.25 c) 0 d) Can’t be determined.<br />

Solution :CP of first two articles is in ration of 3:4. So for 2 articles, gain/loss % = (3/7) X10 –<br />

(4/7) X7.5 = 0. So, overall profit/loss% = 0 => (3/12) X10 – (4/12) X7.5 + (5/12) x = 0 =><br />

x=0%.<br />

33. A dishonest oil merchant claims that he gets a profit of only 5% but he gives only one liter of<br />

oil instead of 1kg. If 1.25 liter of oil weighs 1kg what is his overall percentage of profit<br />

a)31.25% b) 25% c) 26% d) None of these<br />

Solution :Overall profit = 1.05 X (1.25/1) = 1.3125 => 31.25% gain<br />

34. A fruit vendor sells mangoes and bananas and gets equal revenue from each. He gets a profit<br />

of 20% on each mango and a profit of 25% on each banana. If the ratio of the number of bananas<br />

sold to the number of mangoes sold is 4:1, what is the ratio of the cost price of a banana to that<br />

of a mango?<br />

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