Question
The cost of a piece of diamond varies with the square of
its weight. A diamond of Rs.6,084 value is cut into 3 pieces whose weights are in the ratio 3 : 2 : 1. Find the loss involved in the cutting.Solution
The initial value of diamond (3 + 2 + 1) ² = 62 = 36 unit After cut the value becomes (32 + 22 + 12) = 14 unit, The loss occurred (36-14) = 22 units  So, 36 units = 6084 Then, 22unit= 6084/36 x 22 = Rs.3718
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