Question 66

The market price of a clock is Rs. 3200. It is to be sold at Rs. 2448 at two successive discounts. If the first discount is 10%, then the second discount is

Solution

Selling price (SP) , Marked price (MP), Discount %(D)

Given MP = 3200

SP = 2448

1st D% = 10%

Assume 2nd D% = x%

$$ MP \times \frac{100 -10}{100} \times \frac{100 - x}{100} = 2448 $$

Substituting,

$$ 3200 \times \frac{90}{100} \times \frac{100 - x}{100} = 2448 $$

On solving

100 - x = 85

x = 15%

Thus 2nd D% = 15%

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