Question

If a discount of 10% is given to a customer at the marked price of an article, the gain of the traders is 20%. What will be the gain percent of the trader, if the discount is increased to 15 %?

• A. $12\frac{1}{2}\%$
• B. $13\frac{1}{3}\%$
• C. $14\frac{1}{4}\%$
• D. $15\frac{1}{5}\%$

Answer 1

The correct option is B $13\frac{1}{3}\%$

From the given data, the profit is $20\%$ when the discount is $10\%$ .

Let the profit be $x\%$ when the discount is $15\%$.

Now, we know that, the profit is inversely proportional to the discount.

$\therefore x:20=10:15⟹\frac{x}{20}=\frac{10}{15}⟹x=\frac{10}{15}\times 20⟹x=13\frac{1}{3}$

So the gain $=13\frac{1}{3}\%$.