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The ratio between the sale price and the cost price of an article is 7 : 4. What is the ratio between the profit and the cost price of the article?
Question

The ratio between the sale price and the cost price of an article is 7 : 4. What is the ratio between the profit and the cost price of the article?

A.

5 : 6

B.

4 : 5

C.

2 : 5

D.

3 : 4

Correct option is D

Given:

The ratio between the sale price (SP) and the cost price (CP) of an article is 7 : 4.

Concept Used:

Profit = Selling Price − Cost Price

Solution:
Let the cost price (CP) be 4x, as given in the ratio.
The selling price (SP) will be 7x.

Profit = SP - CP = 7x - 4x = 3x.

ProfitCost Price=3x4x=34.\frac{\text{Profit}}{\text{Cost Price}} = \frac{3x}{4x} = \frac{3}{4}.

Thus, the ratio between the profit and the cost price is 3 : 4.

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