Question

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

• A. $50\%$
• B. $16\frac{2}{3}\%$
• C. $47\%$
• D. $33\frac{1}{3}\%$

Answer 1

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

Let the two horses be horse A and horse B.

Let horse A was sold for $₹4000$ at a profit of $25\%$.
Let the cost price of the horse A be $₹x$.
$\Rightarrow 1.25x=4000$
$\Rightarrow x=\frac{4000}{1.25}$
$\Rightarrow x=3200$

Profit over selling the horse A $=₹4000-₹3200=₹800$

Profit acheived over selling horse A is lost over selling horse B.

Loss over selling the horse B $=₹800$

Cost price of the horse B
$=$ Loss $+$ Selling price
$=800+4000=₹4800$

Loss percentage over selling horse B
$=\frac{\text{Loss}}{\text{Cost price}}\times 100$
$=\frac{800}{4800}\times 100$
$=\frac{800}{48}$
$=\frac{50}{3}$
$=16\frac{2}{3}\%$