Profit and Loss problems
- 1. By selling an article for Rs. 247.50 we get a profit of 12 1/ 2 %. The cost of the article is?
Options- A. Rs. 210
- B. Rs. 220
- C. Rs. 224
- D. Rs. 225 Discuss
Correct Answer: Rs. 220
Explanation:
S.P. = Rs. 247.50
Gain = 25 / 2%
? C.P. = Rs. {100 / (100 + 25 / 2) x 247.50}
= Rs. (100 x 2 / 225 x 247.50)
= 220
- 2. If the cost price of 15 tables be equal to the selling price of 20 tables, the loss per cent is?
Options- A. 20%
- B. 30%
- C. 25%
- D. 37.5% Discuss
Correct Answer: 25%
Explanation:
Let C.P. of each table = Re. 1
C.P. of 20 tables = Rs. 20
S.P. of 20 table = C.P. of 15 tables = Rs. 15
? loss = (5/20) x 100 % = 25%
- 3. Profit after selling a commodity for Rs. 425 is same as loss after selling it for Rs. 355. the cost of the commodity is?
Options- A. Rs. 385
- B. Rs. 390
- C. Rs. 395
- D. Rs. 400 Discuss
Correct Answer: Rs. 390
Explanation:
Let C.P. = Rs. x
? 425 - x = x - 355
? 2 x = 780
? x = 390
- 4. By selling an article for Rs. 100 one loses Rs. 10. Then the loss percent is?
Options- A. 111/9
- B. 91/11
- C. 10%
- D. None of these Discuss
Correct Answer: 91/11
Explanation:
S.P. = Rs. 100, Loss = Rs. 10
? C.P. = S.P. + Loss = Rs. 110
? Loss% = (10/110) x 100% = 91/11%
- 5. A man buys 10 articles for Rs. 8 and sells them at the rate of Rs. 1.25 per article. His gain is?
Options- A. 20%
- B. 50%
- C. 191/2%
- D. 561/4% Discuss
Correct Answer: 561/4%
Explanation:
C. P. of 10 articles = Rs. 8
S.P. of 10 articles = Rs. (1.25 x 10) = Rs. 12.50
? Gain = (4.5/8) x 100 % = 561/4%
- 6. A man sold a radio for Rs. 1980 and gained 10%. The radio was bought for?
Options- A. Rs. 1782
- B. Rs. 1800
- C. Rs. 2178
- D. None of these Discuss
Correct Answer: Rs. 1800
Explanation:
S.P. = Rs. 1980, Gain = 10%
? C.P. = Rs. (100 / 110) x 1980 = Rs. 1800
- 7. What per cent of selling price would be 34% of cost price if gross profit is 26% of the selling price?
Options- A. 17.16
- B. 74.00
- C. 25.16
- D. 88.40 Discuss
Correct Answer: 25.16
Explanation:
Let the selling price of the article = Rs. 100
? Profit = Rs. 26
? Cost price of the article = 100 - 26 = Rs. 74
? Required % = (34 x 74)/100 = 25.16%
- 8. Alok bought 25 kg of rice at the rate of Rs. 6.00 per kg and 35 kg of rice at the rate of Rs. 7.00 per kg. He mixed the two and sold the mixture at the rate of Rs. 6.75 per kg . What was his gain or loss in this transaction?
Options- A. Rs. 16.00 gain
- B. Rs. 16.00 loss
- C. Rs. 20.00 gain
- D. None of these Discuss
Correct Answer: None of these
Explanation:
C.P. of 60 kg mix = Rs. (25 x 6 + 35 x 7) = Rs. 395
S.P. of 60 kg mix = Rs. (60 x 6.75) = Rs. 405
Gain = Rs. (405 - 395) = Rs. 10
- 9. A buys oranges at Rs. 2 for 3 oranges and sells them at a rupee each. To make a profit of Rs. 10, he must sell?
Options- A. 10 oranges
- B. 20 oranges
- C. 30 oranges
- D. 40 oranges Discuss
Correct Answer: 30 oranges
Explanation:
Suppose he sells x oranges
Then, C.P.of x oranges = Rs. 2x/3
S.P. of x oranges = Rs. x
Profit on x oranges = Rs. (x - 2x/3) = Rs. x/3
? x/3 = 10 ? x = 30
- 10. The cost of 2 T.V. sets and a radio is Rs. 7000, while 2 radios and one T.V. set together cost Rs. 4250. The cost of a T.V. set is?
Options- A. Rs. 3000
- B. Rs. 3160
- C. Rs. 3240
- D. None of these Discuss
Correct Answer: None of these
Explanation:
2 x + y = 7000 ....(i)
x + 2y = 4250 .....(ii)
Solving (i) and (ii) we get,
x = 3250
? Cost of T.V. set is Rs. 3250.
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