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The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?
Question

The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?

A.

18.64%

B.

15.25%

C.

12.26%

D.

14.32%

Correct option is D

Given:

​The marked price of an article is 26% more than its cost price.

Discount given = 32%

Formula Used:

Loss = CP - SP

Loss % = LossCP×100\frac{Loss}{CP}\times 100​​

Solution:

Let the cost price of an article be Rs 100.

So, Marked Price = 100+26100×100100+\frac{26}{100}\times 100​ = Rs 126

After 32%  discount,

Final price of article = 12632100×126=12640.32126-\frac{32}{100}\times 126=126-40.32​ = Rs 85.68

Loss = 100 - 85.68 = Rs 14.32

Loss% = 14.32100×100\frac{14.32}{100}\times 100​ = 14.32%

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