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

(a) \(12 \frac 12 \)%

(b) \(13\frac 13 \)%

(c) \(14\frac 14\) %

(d) \(15\frac15\)%

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Best answer

Correct option is (b) \(13\frac 13 \)%

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.

∴ x : 20 = 10 : 15

⇒ \(\frac x{20} = \frac{10}{15}\)

⇒ \(x = \frac{10}{15} \times 20\)

⇒ \(x = 13 \frac 13\)

So the gain = \(13 \frac 13\)%.

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