Question

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

• A. $Rs.600$
• B. $Rs.1200$
• C. $Rs.1800$
• D. $Rs.2000$

Answer 1

The correct option is D $Rs.2000$

Let the cost of 1 horse $=Rs.x$ & the cost of 1 cow $=Rs.y$.

Then, the total cost of $4$ horses & $9$ cows $=4x+9y$.

By the given first condition, $ 4x+9y=13400$ ............(i).

The profit on 4 horses at $10\%$

$=\frac{4x\times 10}{100}=\frac{4x}{10}$

Also, The profit on 9 cows at $20\%$

$=\frac{9y\times 10}{100}=\frac{18y}{10}$

So, the total profit

$=\frac{4x}{10}+\frac{18y}{10}=1880$

$⟹4x+18y=18800$ .......(ii) ...(by the second condition)

Subtracting (i) from (ii),

$9y=5400$

$\therefore y=Rs.600$.

Substituting $y=600$ in (i),

$4x+9\times 600=13400$

$⟹4x=13400-5400=8000$

$⟹x=Rs.2000$

So, the cost of one horse$=Rs.2000$