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A man bought a horse and a pony for Rs. 2500. He sold the pony at a profit of 15% and the horse at a profit of 25%. If his total profit was Rs. 500, what is the cost price of the horse?1). Rs. 19502). Rs. 18003). Rs. 21004). Rs. 2000 |
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Answer» Let the cost price of pony be RS. x ∴ Cost price of the horse = Rs. (2500 – x) Profit on pony = 15% ⇒ GAIN = (15 × x)/100 = Rs. 3x/20 Profit on horse = 25% ∴ Profit = [(2500 – x) × 25]/100 = Rs. (2500 – x)/4 Total profit = Rs. 500 ∴ 3x/20 + (2500 – x)/4 = 500 ⇒ 3x + [5 × (2500 – x)] = 500 × 20 ⇒ 3x + 12500 – 5x = 10000 ⇒ 2x = 2500 ⇒ x = 1250 ∴ Cost price of the horse is = 2500 - 1250 = Rs. 1250 |
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