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.

• A. ₹ 200
• B. ₹ 250
• C. ₹ 180
• D. ₹ 280

Answer 1

The correct option is A

₹ 200

Let the cost price of one shirt be ₹ x and other be ₹ (480 - x).

Loss = 15%

SP = CP - Loss

SP = $x-\frac{15x}{100}$

$\therefore$ SP = $\frac{85x}{100}$ ............(i)

Gain = 19%

SP = CP + Profit

SP = $(480-x)+\frac{19\times (480-x)}{100}$

$\therefore$ SP = $\frac{119(480-x)}{100}$................(ii)

Since the SP of both shirts are equal, we can equate (i) and (ii).

$\frac{85x}{100}$ = $\frac{119(480-x)}{100}$

$\Rightarrow 85x=119\times 480-119x$

$\Rightarrow 204x=119\times 480$

$\Rightarrow x=\frac{119\times 480}{204}$

$\Rightarrow x=280$

$\therefore$ Lower priced shirt
= 480 - 280
= ₹ 200