Albert buys 4 horses and 9 cows for Rs 13400. If he sells the horses a

1.	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» (b) Rs 2000 Let the C.P. of 1 horse = Rs x and C.P. of 1 cow = Rs y. Then, 4x + 9y = 13400 ..........(i) Also, 10% of 4x + 20% of 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

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»

(b) Rs 2000

Let the C.P. of 1 horse = Rs x and C.P. of 1 cow = Rs y. Then,

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

Also, 10% of 4x + 20% of 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