Question

Albert buys $4$ horses and $9$ cows for Rs. $13400$. If he sells the horse at $10\%$ profit and the cows at $20\%$ profit then he earns a total profit of Rs. $1880$. The cost of the horse is:

• A. Rs. $1000$
• B. Rs. $2000$
• C. Rs. $2500$
• D. Rs. $3000$

Answer 1

The correct option is B Rs. $2000$

Let $x$ be the cost price of horses and $y$ be that of cows.

Given that: $4x+9y=13400$ .......(1)

Total profit $=10\%$ of$4x+20\%$ of $9y=1880$

$\Rightarrow \frac{10}{100}\times 4x+\frac{20}{100}\times 9y=1880$

$\Rightarrow 4x+18y=18800$ ......(2)

$\left(2\right)-\left(1\right)$

$4x+18y-(4x+9y)=18800-13400$.

$\Rightarrow 9y=5400$

$\Rightarrow y=600$

Substituting this in (1),

$4x=13400-9\times 600=8000$

$\Rightarrow x=2000$

$\therefore$ Price of horse $=Rs.2000$