Question

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

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

Answer 1

The correct option is B Rs. $2000$

Let the C.P. of $1$ horse be Rs. $x$ and C.P. of $1$ cow $=$ Rs. $y$

Then $4x+9y=13400$ ........(i)

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

$\frac{10}{100}4x+\frac{20}{100}9y=1880$
$\frac{2}{5}x+\frac{9}{5}y=1880\Rightarrow 2x+9y=9400$ ...........(ii)
Subtracting eqn (ii) from eqn (i), we get
$(4x+9y)-(2x+9y)=13400-9400$

$\Rightarrow$ $2x=4000$

$\Rightarrow$ $x=2000$

Therefore, the cost of a horse is Rs. $2000$.