1. A farmer buys a goat and a sheep for Rs 3500. He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?
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By: anil on 05 May 2019 01.45 am
Let CP of sheep = x then, CP of goat = 3500 - x He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent and sold at the same price
SP of sheep = SP of goat $$frac{100+20}{100} imes x = frac{100-10}{100} imes (3500-x)$$ $$frac{120}{100} imes x = frac{90}{100} imes (3500-x)$$
$$1.2 imes x = 0.9 imes (3500-x)$$
$$x = 1500$$ CP of sheep = x = 1500 then, CP of goat = 3500 - x = 3500 - 1500 = 2000 CP of cheaper = 1500/- SO the answer is option B.
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SP of sheep = SP of goat $$frac{100+20}{100} imes x = frac{100-10}{100} imes (3500-x)$$ $$frac{120}{100} imes x = frac{90}{100} imes (3500-x)$$
$$1.2 imes x = 0.9 imes (3500-x)$$
$$x = 1500$$ CP of sheep = x = 1500 then, CP of goat = 3500 - x = 3500 - 1500 = 2000 CP of cheaper = 1500/- SO the answer is option B.