# Price of Shirt

Question:

One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and recieves Rs.
120 and a shirt.Then find the price of the shirt.

A. Rs. 80

B. Rs. 100

C. Rs. 120

D. Cannot be determined

Price of the shirt is 120 Rs.
Explanation : Let the price of the shirt be 'X'.
Yearly Payment =200 + X.
Payment for 9 months must be 9/12(200+X),Which is 3/4(200+X) if simplified.
But the servant is paid 120 +X (Given in the questionl)
So 3/4(200 + X) = 120 + X.
3(200+ X) = 4(120 + X)
600 + 3X = 480 + 4X.
4X - 3X = 600 - 480.
X = 120.Therefor Price of the shirt is120 Rupees.