Question

I buy two shirts for $Rs.135$, and sell one so as to lose $6$% and the other so as to gain $7\frac{1}{2}$%, and on the whole I neither gain nor lose. What did each shirt cost?

• A. $45,90$
• B. $75,60$
• C. $30,75$
• D. $90,45$

Answer 1

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, $6\%ofx=7.5\%ofy$

or, $x:y=5:4$

$x+\frac{4x}{5}=Rs.135$ [Since total price is $Rs.135$]

First shirt's price $=x=\frac{5}{9}\times 135=Rs.60$

Second shirt's price $=\frac{5}{9}\times 1350=Rs.75$