Question

Ram 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 of Rs 1880. What is the cost of a horse ?

Answer 1

Let H be the cost of a horse and C the cost of a cow. 

Then, 4H + 9C = 13400

Also, \(\frac{10}{100}\) x 4H + \(\frac{20}{100}\) x 9C =1880

\(\Rightarrow\)4H + 18C = 18800

Subtracting equation (1) from equation (2), we get

9C = 5400 \(\Rightarrow\) C = \(\frac{5400}{9}\) = 600

Putting C = 600 in (1), we get

4H + 9 × 600 = 13400 \(\Rightarrow\) 4H = 8000 \(\Rightarrow\) H = \(\frac{8000}{4}\) = 2000

\(\therefore\) The cost of a horse is Rs 2000.