Profit and Loss problems
- 1. A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Options- A. Rs. 1090
- B. Rs. 1160
- C. Rs. 1190
- D. Rs. 1202 Discuss
Correct Answer: Rs. 1190
Explanation:
| S.P. = 85% of Rs. 1400 = Rs. | ❨ | 85 | x 1400 | ❩ | = Rs. 1190 |
| 100 |
- 2. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Options- A. 30%
- B. 70%
- C. 100%
- D. 250% Discuss
Correct Answer: 70%
Explanation:
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.
| ∴ Required percentage = | ❨ | 295 | x 100 | ❩% | = | 1475 | % = 70% (approximately). |
| 420 | 21 |
- 3. A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Options- A. Rs. 18.20
- B. Rs. 70
- C. Rs. 72
- D. Rs. 88.25 Discuss
Correct Answer: Rs. 72
Explanation:
| C.P. = Rs. | ❨ | 100 | x 392 | ❩ | = Rs. | ❨ | 1000 | x 392 | ❩ | = Rs. 320 |
| 122.5 | 1225 |
∴ Profit = Rs. (392 - 320) = Rs. 72.
- 4. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Options- A. No profit, no loss
- B. 5%
- C. 8%
- D. 10%
- E. None of these Discuss
Correct Answer: 5%
Explanation:
C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.
S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.
| ∴ Gain = | ❨ | 80 | x 100 | ❩% = 5%. |
| 1600 |
- 5. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Options- A. 15
- B. 16
- C. 18
- D. 25 Also asked in: Bank Exams
Correct Answer: 16
Explanation:
Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x .
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
| ∴ | ❨ | 20 - x | x 100 = 25 | ❩ |
| x |
⟹ 2000 - 100x = 25x
125x = 2000
⟹ x = 16.
- 6. If cost of 15 eggs be 75 rupees, then find out the cost of 5 dozen eggs.
Options- A. 300
- B. 400
- C. 500
- D. 600 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 300
Explanation:
Cost of 15 eggs = 75 rupees
Cost of 1 egg = 75/15 = 5 rupees,
Cost of 5 dozens, i.e. 5 x 12 = 60 x 5 = 300
- 7. A stationer buys diaries at 75 rupees per dozen and sells them at 15 rupees per piece. What is the profit?
Options- A. 75
- B. 100
- C. 105
- D. 110 Discuss
Correct Answer: 105
Explanation:
Each dozen carries cost 75 rupees and are sold for
12 x 15 = 180 rupees
profit = SP-CP
profit = 180-75 = 105 rupees
- 8. A man bought 18 oranges for a rupee and sold them at 12 oranges for a rupee. what is the profit percentage?
Options- A. 33.33 %
- B. 50 %
- C. 66.66 %
- D. None of these Discuss
Correct Answer: 50 %
Explanation:
From question CP/SP = 12/18 = 2/3
? Profit (%) = ( 3 - 2 ) / 2 x 100 = 50%
2nd Solution:
CP = 100/18 = 5.55 paisa
SP = 100/12 = 8.33 paisa
? Profit = (8.33-5.55)/5.55 x 100 = 50 %
- 9. On selling an article for Rs. 240, a trader loses 4%. In order to gain 10 % he must sell that article for
Options- A. Rs. 275
- B. Rs. 340
- C. Rs. 320
- D. Rs. 264 Discuss
Correct Answer: Rs. 275
Explanation:
Let the CP be Rs. x , then SP be 0.96x
? 0.96x = 240
? x = 250
Now the new SP = 250 X 1.1 = 275
- 10. By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%
Options- A. 8
- B. 10
- C. 15
- D. 16 Discuss
Correct Answer: 8
Explanation:
SP = 100/12 paise
Let's CP = x
SP = 0.8x = 100/12
? x = 10/(0.8x12) paise
Therefore, CP = 100/9.6 paise
Thus the new SP (with 20% profit) = 100/9.6 X 1.2 = 100/8 paise
Hence, 8 apples can be purchased for Rs.1 to gain 20%
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