Question
Aman bought a goat and a hen, with the goat's cost price
being ₹1200 more than the hen's. He sold the hen at a 20% loss and the goat at a 25% profit, resulting in an overall profit of 13.75%. If, instead, he sold the goat at a 25% loss and the hen at a 40% profit, what would be his overall profit or loss percentage?Solution
Cost Price of Hen = x Cost Price of Goat = x + 1200 SP of Hen = x * 80/100 = 4x/5 SP of Goat = (x + 1200) * 125/100 = 5/4 * (x + 1200) (x + x + 1200) * 113.75/100 = 4x/5 + 5/4 * (x + 1200) 227.5x/100 + 1365 = 4x/5 + 5x/4 + 1500 0.225x = 135 x = 600 New SP of Hen and Goat = 600 * 140/100 + (600 + 1200) * 75/100 = 840 + 1350 = 2190 Required loss percentage = (2400 – 2190)/2400 * 100 = 8.75%
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