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: Option B

Solution(By Examveda Team)

Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.
Then,
= 4x + 9y = 13400 ......(i)
and,
10% of 4x + 20% of 9y = 1880
$$\eqalign{ & \Rightarrow \frac{2}{5}x + \frac{9}{5}y = 1880 \cr & \Rightarrow 2x + 9y = 9400....({\text{ii}}) \cr} $$
Solving (i) and (ii), we get:
x = 2000 and y = 600
∴ Cost price of each horse = Rs. 2000