# The cost price of piece of diamond varies with square of its weight . A diamond of rs 5184 value is cut into 3 pieces whose weight are in ratio 1:2:3. Find the loss involved in cutting

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Price of diamond = Rs.5184. As price is proportional to square of weight of diamond, weight of diamond = √5184 = 72.

This weight of 72 units is divided in the ratio 1 : 2 : 3.

Hence their weights are (1/6)x72, (2/6)x72, (3/6)x72v OR 12, 24, 36 units by weight.

Hence their price are 12², 24², 36² , i.e., 144, 576, 1296.

Hence total price of three pieces = 144+576+1296 = 2016.

Therefore loss involved in cutting = 5184 - 2016 = 3168

This weight of 72 units is divided in the ratio 1 : 2 : 3.

Hence their weights are (1/6)x72, (2/6)x72, (3/6)x72v OR 12, 24, 36 units by weight.

Hence their price are 12², 24², 36² , i.e., 144, 576, 1296.

Hence total price of three pieces = 144+576+1296 = 2016.

Therefore loss involved in cutting = 5184 - 2016 = 3168