A man bought 4 horses and 9 cows for 1340. He sells the horses at a profitof 10% and the cows at a profit of 20% and his whole gain are 188. Whatprice did he pay for the horse?

⇒ The cost of one cow = Rs. 1340 – 4x
He sold the cows at a profit of 10% and the horses at a profit of 20%.
Profit when the horses are sold is 10%

⇒ (b ₁ /b ₂ ) × 100 = 10%

⇒ Profit when the horses are sold = c ₁ /c ₂ = 2/3
Profit when the cows are sold is 20%.

⇒ (c ₁ /c ₂ ) × 100 = 20%

⇒ Profit when the cows are sold = -5/-8 =
Total profit he gained = 188

⇒ = 188

⇒ 2x + (1340 – 4x) = 188 × 5

⇒ -2x = 188 × 5 – 1340
= 940 - 1340
= - 400

∴ x = 200

∴ The price he paid for the horse is 200.