Question

A horse and a carriage together cost $\text{Rs.}8000$. If by selling the horse at a profit of $10\%$ and the carriage at a loss of $10\%$ a total profit of $2.5\%$ is made, then what is the cost price of the horse?

• A. $\text{Rs.}3000$
• B. $\text{Rs.}6000$
• C. $\text{Rs.}2000$
• D. $\text{Rs.}5000$

Answer 1

The correct option is D $\text{Rs.}5000$

Let C.P. of the horse be $\text{Rs.}x$.

Then C.P. of the carriage $=\text{Rs.}(8000-x)$

S.P. of the horse $=\frac{x\times 110}{100}=\text{Rs.}\frac{11x}{10}$

S.P. of the carriage $=$ $\frac{(8000-x)\times 90}{100}=7200-\frac{9x}{10}$

Total C.P. $=\text{Rs.}8000$, Total profit $=2.5\%$

$\therefore$ Total S.P.$=8000\times \frac{102.5}{100}=\text{Rs.}8200$

Now,

$\frac{11x}{10}+7200-\frac{9x}{10}=8200$

$\Rightarrow \frac{2x}{10}=1000$

$\Rightarrow x=\text{Rs.}5000$