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.
Answer & explanation
Correct answer: option 2
Total weight of the original diamond = 3x + 2x + x = 6x
Cost of the original piece = k(36x²) = 6084
kx² = 169
where k is a constant
Cost of three pieces = k(x² + 4x² + 9x²) = k(14x²)
= 14 x kx² = 14 x 169 = 2366
Loss in the value during cutting = 6084 - 2366 = Rs. 3718