Question

A man sells two horses for Rs. $4000$ each, neither losing nor gaining in the deal. If he sold one horse at a gain of $25\%$, the other horse is sold at a loss of ___________.

• A. $16\frac{2}{3}\%$
• B. $18\frac{2}{9}$
• C. $25\%$
• D. None of these

Answer 1

The correct option is A $16\frac{2}{3}\%$

if he sells one horse at a gain of $25\%$

then the price for which he bought the horse is $\frac{4000}{1.25}=3200$

profit $=800$

he sells the second horse for $4000$

loss $=800$

the price for which he bought the second horse is $4000+800=4800$

percentage loss $=\frac{4800-4000}{4800}\times 100=\frac{800}{48}$

$=16\frac{2}{3}$