Q. 14

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

Let the cost of one horse be x.
The cost of 4 horses and 9 cows = 1340

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.

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