Question

A man engaged a servant on the condition that he would pay him Rs. $90$ and a turban after a service of one year. He served only for nine months and received the turban and Rs. $65$. The price of the turban is:

• A. Rs. $25$
• B. Rs. $18.75$
• C. Rs. $10$
• D. Rs. $2.50$

Answer 1

The correct option is C Rs. $10$

Let the price of the turban be Rs. $x$
Then, total income for $12$ months $=$ Rs. $(90+x)$
$\Rightarrow$ Income for $9$ months $=$ $=\left(\frac{90+x}{12}\right)\times 9=\frac{3x+270}{4}$
Given, $\frac{3x+270}{4}=65+x$
$\Rightarrow 3x+270=4x+260$
$\Rightarrow x=$ Rs. $10$