Question 57

A shopkeeper allows 10% discount on the marked price of an article and still gains 17%. If he gives 15% discount on the marked price, then his profit percent is:

Solution

Let the Cost price be 100

Then, Selling Price = 100$$\times\ \frac{117}{100}=117$$

Marked price = $$\ \frac{117}{90}\times\ 100=117$$= 130

According to Question,

15% discount on Marked price

then Selling Price = $$\ 130\times\ \frac{85}{100}=110.5$$

Cost Price = 100

Profit % = $$\frac{SP-CP}{CP}\times\ 100$$

= $$\frac{110.5-100}{100}\times\ 100=10.5\%$$

Hence, Option B is correct.

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