Question 59

A shopkeeper allows 20% discount on the marked price of an article and still makes a profit of 28%. If he sells it at 12.5% discount on the marked price, then his gain percent is:

Solution

Let marked price of article = Rs. $$100x$$

Selling price after 20% discount = Rs. $$80x$$

Also, cost price after 28% profit = $$\frac{80x}{128}\times100=Rs.$$ $$62.5x$$

Now, if he gives 12.5% discount , => New selling price = Rs. $$87.5x$$

$$\therefore$$ New profit % = $$\frac{87.5x-62.5x}{62.5x}\times100$$

= $$\frac{2500}{62.5}=40\%$$

=> Ans - (D)

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