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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
