Question

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

• A. $15\%$
• B. $20\%$
• C. $25\%$
• D. $30\%$

Answer 1

The correct option is C $25\%$

Let discount on the trouser be $x\%$
Total discount on the set of the shirt and trouser is $30\%$
$\therefore \frac{40\times 1+x\times 2}{1+2}=30$
$\Rightarrow 40+2x=90$
$\Rightarrow 2x=50$
$\Rightarrow x=25$
Hence, discount offered on trouser is $25\%$