__Question:__ The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of the article?

**Options:**

A. | 2 : 7 | |

B. | 5 : 2 | |

C. | 7 : 2 | |

D. | Data inadequate | |

E. | None of these |

**Answer: Option D**

- Let C.P.- Rs.5x and S.P. = Rs. 7x Then, gain = Rs. 2x

Required ratio = 2x:5x= 2:5

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## More Questions on This Topic :

__Question 1.__A trade mixes 26 kg of rice at Rs.20 per kg with 30 kg of other of variety at Rs. 36 per kg and sell the mixture at Rs.30 per kg. His profit percent is:

**Options:**

- No profit, no loss
- 5%
- 8%
- 10%
- None of these

**Answer: Option B**

- 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. (56 x 30) = Rs.1680

Gain= (80/1600 x 100)% =5%

__Question 3.__A property dealer sells a house for Rs.6,30,000 and in the bargain makes a profit of 5% .Had he sold it for Rs.5,00,000 then what percentage of loss or gain he would have made?

**Options:**

- 2 1/4% gain
- 10% loss
- 12 1/2% loss
- 16 2/3% loss
- None of these

**Answer: Option D**

- C.P. = Rs(100/105 x 630000) = Rs. 6,00,000

Required loss% = (100000/600000 x 100)% = 16 (2/3)%

__Question 4.__ A man gain 20% by selling an article for a certain price. If he sells It he sells it at double the price the percentage of profit will be :

**Options:**

- 40
- 100
- 120
- 140
- None of these

**Answer: Option D**

- Let C.P. = Rs.a Then , S.P. = Rs.(120%of a) = Rs. 6a/5

New S.P. = Rs (2x 6a/5) = Rs.12a/5, Profit = Rs (12a/5 - a)

= Rs. 7a/5

Profit % = (7a/5 x 1/a x100)% = 140%

__Question 5.__A trade man sold an article at a loss of 20 % . If the selling price had been increased by Rs.100, there would have been a gain of 5%. What was the cost price of the article?

**Options:**

- 200
- 300
- 400
- 500
- None of these

**Answer: Option C**

- Let C.P.be Rs.x. Then, (150%of x) –(80% of x) = 100

or 25% of x = 100

x/4 = 100 or x = 400

So, C.P.=Rs.400

__Question 6.__ When a producer allows 36% commission on the retail price of his product, he earns of 8.8%. What would be his profit percent if the commission is reduced by 24%?

**Options:**

- 48.6%
- 49.6%
- 50.6%
- 52.6%
- None of these

**Answer: Option B**

- Let retail price = Rs. 100 Then, commission = Rs.36

S.P. = Rs. (100-36) = Rs. 64

But, profit =8.8%

C.P. = Rs.(100/108.8 x 64) = Rs 1000/17

Now commission = Rs.12 New S.P.= Rs. (100-12) = Rs.88.

Gain = Rs.(88-1000/17) = Rs. 496/17

Gain% = (496/17 x 17/1000 x 100)% = 49.6%

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