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.

*₹*200*₹*250*₹*180*₹*280

Solution

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−15x100

∴ SP = 85x100 ............(i)

Gain = 19%

SP = CP + Profit

SP = (480−x)+19×(480−x)100

∴ SP = 119(480−x)100................(ii)

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

85x100 = 119(480−x)100

⇒ 85x=119×480 −119x

⇒ 204x=119×480

⇒ x=119×480204

⇒ x=280

∴ Lower priced shirt

= 480 - 280

= *₹ *200

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