Marked price of a clock is Rs.,3200. It is to be sold at Rs 2448 at two successive discounts. If fir

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7.Profit and Loss

hard

The marked 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.........$\%$

A

$5$

B

$10$

C

$15$

D

$20$

Solution

Let, the second successive discount be $x \%$

Now, according to the question,

$3200\left(1-\frac{10}{100}\right)\left(1-\frac{x}{100}\right)=2448$

$\Rightarrow \quad 3200 \times \frac{90}{100} \times\left(1-\frac{x}{100}\right)=2448$

$\Rightarrow 1-\frac{x}{100}=\frac{2448}{2880}$

$\Rightarrow \frac{x}{100}=1-\frac{2448}{2880}=\frac{432}{2880}=\frac{3}{20}$

$\therefore \quad x=\frac{300}{20}=15 \%$

The rate of second discount is $15 \%$

Standard 13

Quantitative Aptitude

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