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- Question
On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Options- A. Rs. 45
- B. Rs. 50
- C. Rs. 55
- D. Rs. 60
- Correct Answer
- Rs. 60
Explanation
(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)⟹ C.P. of 12 balls = S.P. of 17 balls = Rs.720.
⟹ C.P. of 1 ball = Rs. ❨ 720 ❩ = Rs. 60. 12 - 1. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
Options- A. 14 2⁄7% gain
- B. 15% gain
- C. 14 2⁄7% loss
- D. 15 % loss Discuss
- 2. Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
Options- A. 4 4⁄7%
- B. 5 5⁄11%
- C. 10%
- D. 12% Discuss
- 3. Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Options- A. 30%
- B. 331⁄3%
- C. 35%
- D. 44% Discuss
- 4. Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Options- A. 3.5
- B. 4.5
- C. 5.6
- D. 6.5 Discuss
- 5. If selling price is doubled, the profit triples. Find the profit percent.
Options- A. 66 2⁄3
- B. 100
- C. 105 1⁄3
- D. 120 Discuss
- 6. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Options- A. Rs. 21,000
- B. Rs. 22,500
- C. Rs. 25,300
- D. Rs. 25,800 Discuss
- 7. A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
Options- A. 5 15⁄17 % loss
- B. 5 15⁄17 % gain
- C. 6 2⁄3 % gain
- D. None of these Discuss
- 8. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 9. 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
- 10. 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
Profit and Loss problems
Search Results
Correct Answer: 14 2⁄7% gain
Explanation:
| C.P. of 1 orange = Rs. | ❨ | 350 | ❩ | = Rs. 3.50 |
| 100 |
| S.P. of 1 orange = Rs. | ❨ | 48 | ❩ | = Rs. 4 |
| 12 |
| ∴ Gain% = | ❨ | 0.50 | x 100 | ❩% | = | 100 | % = 14 | 2 | % |
| 3.50 | 7 | 7 |
Correct Answer: 5 5⁄11%
Explanation:
Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.
Selling Price (S.P.) = Rs. 5800.
Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.
| Gain % = | ❨ | 300 | x 100 | ❩% | = 5 | 5 | % |
| 5500 | 11 |
Correct Answer: 44%
Explanation:
Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.
| C.P. of 30 articles = Rs. | ❨ | 5 | x 30 | ❩ | = Rs. 25. |
| 6 |
| S.P. of 30 articles = Rs. | ❨ | 6 | x 30 | ❩ | = Rs. 36. |
| 5 |
| ∴ Gain % = | ❨ | 11 | x 100 | ❩% = 44%. |
| 25 |
Correct Answer: 5.6
Explanation:
| Cost Price of 1 toy = Rs. | ❨ | 375 | ❩ | = Rs. 31.25 |
| 12 |
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75
| ∴ Profit % = | ❨ | 1.75 | x 100 | ❩% | = | 28 | % = 5.6% |
| 31.25 | 5 |
Correct Answer: 100
Explanation:
Let C.P. be Rs. x and S.P. be Rs. y.
Then, 3(y - x) = (2y - x) ⟹ y = 2x.
Profit = Rs. (y - x) = Rs. (2x - x) = Rs. x.
| ∴ Profit % = | ❨ | x | x 100 | ❩% = 100% |
| x |
Correct Answer: Rs. 25,300
Explanation:
85 : 18700 = 115 : x
| ⟹ x = | ❨ | 18700 x 115 | ❩ | = 25300. |
| 85 |
Hence, S.P. = Rs. 25,300.
Correct Answer: 5 15⁄17 % gain
Explanation:
| C.P. of 1st transistor = Rs. | ❨ | 100 | x 840 | ❩ | = Rs. 700. |
| 120 |
| C.P. of 2nd transistor = Rs. | ❨ | 100 | x 960 | ❩ | = Rs. 1000 |
| 96 |
So, total C.P. = Rs. (700 + 1000) = Rs. 1700.
Total S.P. = Rs. (840 + 960) = Rs. 1800.
| ∴ Gain % = | ❨ | 100 | x 100 | ❩% | = 5 | 15 | % |
| 1700 | 17 |
Correct Answer: 5
Explanation:
C.P. of 6 toffees = Re. 1
| S.P. of 6 toffees = 120% of Re. 1 = Rs. | 6 |
| 5 |
| For Rs. | 6 | , toffees sold = 6. |
| 5 |
| For Re. 1, toffees sold = | ❨ | 6 x | 5 | ❩ | = 5. |
| 6 |
Correct Answer: Rs. 1190
Explanation:
| S.P. = 85% of Rs. 1400 = Rs. | ❨ | 85 | x 1400 | ❩ | = Rs. 1190 |
| 100 |
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 |
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