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- Question
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%
- 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 - 1. 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
- 2. 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
- 3. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Options- A. Rs. 2000
- B. Rs. 2200
- C. Rs. 2400
- D. Data inadequate Discuss
- 4. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
Options- A. 1 : 3
- B. 1 : 4
- C. 2 : 3
- D. Data inadequate
- E. None of these Discuss
- 5. A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6¼% p.a for 2 years. Find his gain in the transaction per year.
Options- A. Rs. 112.50
- B. Rs. 125
- C. Rs. 225
- D. Rs. 167.50 Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. 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
Profit and Loss problems
Search Results
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. 2000
Explanation:
Let C.P. be Rs. x.
| Then, | 1920 - x | x 100 = | x - 1280 | x 100 |
| x | x |
⟹ 1920 - x = x - 1280
⟹ 2x = 3200
⟹ x = 1600
| ∴ Required S.P. = 125% of Rs. 1600 = Rs. | ❨ | 125 | x 1600 | ❩ | = Rs 2000. |
| 100 |
Correct Answer: 2 : 3
Explanation:
Let the principal be P and rate of interest be R%.
| ∴ Required ratio = |
|
= | 6PR | = | 6 | = 2 : 3. | ||||
|
9PR | 9 |
Correct Answer: Rs. 112.50
Explanation:
| Gain in 2 years |
|
||||||||||||||||
| = Rs. (625 - 400) | |||||||||||||||||
| = Rs. 225. |
| ∴ Gain in 1 year = Rs. | ❨ | 225 | ❩ | = Rs. 112.50 |
| 2 |
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: 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: 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 |
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 |
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