Question

A man bought a horse and a carriage for $3000$. He sold the horse at a gain of $20\%$ and the carriage at a loss of $10\%$, thereby gaining $2\%$ on the whole. Find the cost of the horse.

• A. $1000$
• B. $1200$
• C. $1500$
• D. $1650$

Answer 1

Answer: (B)

$1200$

Let the CP of the horse be $x$.
Then the CP of the carriage $=(3000-x)$.

According to the question,

Gain on horse $-$ Loss on carriage = Gain on the whole

$20\%ofx-10\%of(3000-x)=2\%of3000$
$\frac{20}{100}\times x-\frac{10}{100}\times (3000-x)=\frac{2}{100}\times 3000$
$\frac{x}{5}-\frac{1}{10}(3000-x)=60$
$2x-3000+x=60\times 10$
$3x=3000+600$

$3x=3600$
$x=1200$
$\therefore$ CP of the horse $=1200$.