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A ratio of the cost price and the selling price of an article is 4 : 5. What is the percentage gain or loss?
Question

A ratio of the cost price and the selling price of an article is 4 : 5. What is the percentage gain or loss?

A.

20% gain

B.

20% loss

C.

25% loss

D.

25% gain

Correct option is D

Given:

Cost Price (CP) : Selling Price (SP) = 4 : 5.

Formula Used:

Profit % =(ProfitCost Price)×100 \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100

Solution:

Let the Cost Price = ₹4,
Then the Selling Price = ₹5

So, Profit = SP - CP = 5 - 4 = ₹1

Now,

Profit %=(14)×100=25% = \left( \frac{1}{4} \right) \times 100 = 25\%

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