Question

The marked price of a shirt and trousers are in the ratio 1 : 2. The shopkeeper gives 40% discount on the shirt. If the total discount on both is 30%, then the discount offered on trousers is

• A. 15%
• B. 20%
• C. 25%
• D. 30%

Answer 1

The correct option is C 25%

Let the M.P. of a shirt be Rs.$x$ and that of trousers be Rs.$2x$

Let the discount on the trousers be $y\%$

Then

$=\frac{60}{100}\times x+\frac{(100-y)}{100}\times 2x=\frac{70}{100}\times (x+2x)$

$\Rightarrow \frac{3}{5}+\frac{(100-y)}{100}=\frac{21}{10}\Rightarrow \frac{100-y}{100}=\frac{21}{10}-\frac{3}{5}=\frac{21-6}{10}=\frac{15}{10}=\frac{3}{2}$

$\Rightarrow (100-y)=\frac{3}{2}\times 50=75\Rightarrow y=25\%$