Question

A man bought 2 shirts, which together cost him ₹ 480. He sold one of them at a loss of 15% and the other at a gain of 19 %. If the selling price of both the shirts are equal, find the cost price of the lower priced shirt.

Answer 1

Let the cost price of one shirt be x and other be y.

x + y = 480 ........ (i)

85x = 119y .........(ii)

x = $\frac{119}{85}$ y

putting value of x in equation (i) we get :

$\frac{119}{85}$ y + y = 480

y = $\frac{480\times 85}{204}$

$\therefore$ y = ₹ 200

The price of shirt x will be greater than ₹ 200 since the sum is ₹ 480.

$\therefore$ The price of the lower priced shirt = ₹ 200