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

I think question was wrong.

Answer 2

option (D) neither gain nor loss

Let cost price of first is X

and cost price of 2nd is Y

a/c to question, The cost price of first is equal to the selling price of the second.

X = selling price of 2nd....(1)

first sold 20% loss ,

so, selling price of first = X - 20% of X = 0.8X

2nd sold 25% profit

and selling price of 2nd = Y + 25% of Y = 1.25Y

so, X = 1.25Y .....(2)

now, men sells both for Rs. 1475

so, 0.8X + 1.25Y = 1475

0.8X + X = 1475

X = 1475/1.8 = 819.44 Rs.

and Y = X/1.25 [ From equation (2), ]

= 819.44/1.25

= 655.55 Rs.

now, total cost price = 819.44 + 655.55

= 1474.99 ≈ 1475

hence, there is neither loss nor profit.