Question

A man sold two horses for rs. 3000 each gaining 25% on the one and losing 25% on the other. His loss percent is

Answer 1

Answer:

He lost 6.25%

Step-by-step explanation:

Let x be the original cost of the horse on which he made a profit.

Let y be the original cost of the horse on which he made a loss.

For the first horse, 3000 was a gain of 25%, so

3000 = 1.25 x.

[ original cost + 25% of original cost = x + 0.25 x = 1.25 x ]

For the second horse, 3000 was a loss of 25%, so

3000 = 0.75 y.

So

x = 3000 / 1.25 = 2400

and

y = 3000 / 0.75 = 4000.

The total original cost for the horses was

x + y = 2400 + 4000 = 6400.

He has received 2 × 3000 = 6000.  So he lost 400.  As percentage of original cost, he lost

400 / 6400 = 1 / 16 = 0.0625 = 6.25%.