A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
Explanation:
Let he mix 3 kg, 4 kg and 5 kg of dry fruits at Rs. 100, Rs. 80 and at Rs. 60 per kilogram respectively. Hence, his effective cost of the dry fruits per kilogram should be the weighted average
=3×100+4×80+5×603+4+5=92012
In order to make a 50% profit, he will have to sell it at 92012×1.5=92012×32=9208 = Rs. 115 per kg.
Since none of the answer-choices confirms this, the answer is (d).
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