Question

A man sells two horses for Rs. 1475. The cost price of the first is equal to the selling price of the second. If the first is sold at 20\(\%\) loss and the second at 25\(\%\) gain, what is his total gain or loss (in rupees)?

• A. Rs. 80 gain
• B. Rs. 60 gain
• C. Rs. 60 loss
• D. Neither gain nor loss

Answer 1

The Correct Option is D

The correct option is D Neither gain nor loss
Let S.P. of the first horse be x rupees.
Then, S.P. of the second horse =(1475−x) rupees
C.P. of first horse =(1475−x) rupees
Loss on the first horse =20\(\%\)
\(\therefore\frac{80}{100}\times(1475-x)=x\)
⇒ \(4(1475-x)=5x\)
⇒ \(9x=5900\)
⇒ \(x=\frac{5900}{9}\)

S.P. of second horse \(=(1475-\frac{5900}{9})=\frac{7375}{9}\) rupees
C.P. of second horse \(=(\frac{100}{125}\times\frac{7375}{9})=\frac{5900}{9}\) rupees
\(\therefore\) C.P. of 1st horse = S.P. of 2nd horse
and C.P. of 2nd horse = S.P. of 1st horse
So, total C.P. = total S.P.
Hence, there is neither gain nor loss..
The correct optio is (D): Neither gain nor loss