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7.Profit and Loss
medium
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 a horse is (in $Rs.$)
A
$1000$
B
$2000$
C
$2500$
D
$3000$
Solution
Let the $C.P.$ of each horse be $Rs. x$ and that of each cow be $Rs. y$.
$\therefore \quad x+y=13400$ $…(1)$
$\therefore \quad$ Profit earned $=\frac{10}{100} \times 4 x+\frac{20}{100} \times 9 y=1880$
i.e. $\quad 4 x+18 y=18800$ $…(2)$
Solving $(1)$ and $(2),$ we get $x=₹ 2000$
$\therefore$ Cost of horse $=Rs. 2000$
Standard 13
Quantitative Aptitude
