Question

The C.P. of two shirts taken together is ₹910. If by selling one at a profit of 16% and and the other at a loss of 12%, there is no loss or gain in the whole transaction, then the C.P. of the two shirts are respectively:

• A. 380, 530
• B. 370, 540
• C. 390, 520
• D. 400, 510

Answer 1

The Correct Option is C

Let the Cost Price (C.P.) of the first shirt be ₹x and the C.P. of the second shirt be ₹910 - x.

For the first shirt, selling it at a profit of 16% means Selling Price (S.P.) = 1.16x.

For the second shirt, selling it at a loss of 12% means Selling Price (S.P.) = 0.88(910 - x).

Since there is no overall gain or loss in the whole transaction, the total S.P. must be equal to the total C.P. Hence,

1.16x + 0.88(910 - x) = 910

Expanding and rearranging the equation gives:

1.16x + 800.8 - 0.88x = 910

0.28x = 109.2

x = 390

Thus, the C.P. of the first shirt is ₹390 and the C.P. of the second shirt is ₹910 - 390 = ₹520.

Therefore, the C.P. of the two shirts are ₹390 and ₹520 respectively.