Question 182

A shopkeeper gains 17% after allowing a discount of 10% on the marked price of an article. Find his profit percent if the articles are sold at marked price allowing no discount.

Solution

Let M.P. = $$100x$$

Discounted amount = $$\frac{10}{100} * 100x = 10x$$

=> S.P. = $$100x-10x = 90x$$

Let C.P. = $$100y$$

Profit = $$\frac{17}{100} * 100y = 17y$$

=> S.P. = $$100y+17y = 117y$$

=> $$90x = 117y$$

=> $$x = \frac{13y}{10}$$

If no discount is given, then

=> S.P. = M.P. = 100 * $$\frac{13y}{10} = 130y$$

$$\because$$ C.P. = $$100y$$

=> Profit % = $$\frac{130y-100y}{100y}$$ * 100 = 30%

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