The two types of pulses were mixed in 2: 1 and a 10% profit was made by selling the mixture at ₹ 14 .30 per kilogram if the price per kilogram of the first pulse was ₹ 3 less than the second pulse. What is the price per kilogram?
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₹13
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₹17
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₹18
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₹15
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None of these
D
Correct answer
Explanation
Let the price of second pulse be Rs x/kg. Then first pulse costs Rs (x-3)/kg. Mixed in 2:1 ratio, average cost = [2(x-3) + 1(x)]/3 = (2x-6+x)/3 = (3x-6)/3 = (x-2) Rs/kg. Selling at Rs 14.30 with 10% profit means cost × 1.10 = 14.30, so cost = 14.30/1.10 = Rs 13/kg. Equating: x-2 = 13, so x = 15 (price of second pulse). First pulse costs 15-3 = Rs 12/kg. The question asks for price per kg - Rs 15 is the second pulse price shown in the answer.