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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.


  1. ₹ 200

  2. ₹ 250

  3. 180

  4. ₹ 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 = x15x100

SP = 85x100 ............(i)

Gain = 19%

SP = CP + Profit

SP = (480x)+19×(480x)100

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

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

85x100119(480x)100

   85x=119×480 119x

   204x=119×480

   x=119×480204

   x=280

Lower priced shirt
= 480 - 280
= ₹ 200

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