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Question

I buy two shirts for Rs.135, and sell one so as to lose 6% and the other so as to gain 712%, and on the whole I neither gain nor lose. What did each shirt cost?

A
45,90
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B
75,60
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C
30,75
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D
90,45
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Solution

The correct option is B 75,60
Let the price of the first shirt be x and the second's be y.

Then, x+y=135

Also, given that in the whole transaction, the man neither gains nor losses which means, numerical value of the loss is equal to the numerical value of profit.

That is, 6% of x=7.5% of y

or, x:y=5:4

x+4x5=Rs.135 [Since total price is Rs.135]

First shirt's price =x=59×135=Rs. 60

Second shirt's price =59×1350=Rs.75

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