Question

How much percent more than the cost price should a shopkeeper mark his goods, so that after allowing a discount of $12.5%$ he should have a gain of $5%$ on his outlay?

Comments

nice method ....

Answer 1

Suppose cost price is Rs. 100, then since he wants 5% profit, he should sell it at Rs. 105, but Rs. 105 is after applying 12.5% discount.

So after giving discount on some Rs. $x$, he should have Rs. 105. i.e.

$x - \frac{12.5x}{100} = 105 \implies x = 120$

So he should mark the goods at Rs. 120 i.e. 20% more than cost price.

Answer 2

5 %( ans) suppose if cp=100 purchase by the shop owner asssume than mp should be 120 so acc to condition if 12.5 % discount is applied on mp than we get mp as 105 means still he gets profit of 5% now SP wiil be 105 so if he marks 5 % above the cost price than profit of 5 % after giving discount of 12.5 %