Question

One year payment of the servant is one shirt and $Rs.200$ . The servant leaves after $9$ months and receives $Rs.120$ and a shirt. What is the price of the shirt?

• A. RS.$80$
• B. Rs.$100$
• C. Rs.$120$
• D. Cannot be determined

Answer 1

Answer: (C)

Rs.$120$

The servant worked for $9$ months instead of $12$ months, he should receive $\frac{9}{12}$ of his annual payment.
Let the price of $1$ shirt be $Rs.S$.
i.e., $\frac{3}{4}\times (200+5)$
However, the question states that the servant receive $Rs.120+S$ where S is the price of the shirt.
By equating the two equations we get $\frac{3}{4}\left(\begin{array}{c}200+S\end{array}\right)=120+S$.
Therefore Price of the shirt S = $Rs.120$.