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.

Rs.3,718

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