a diamond worth RS 144400 breaks in to two pieces. the weight of these two pieces are in ratio 11:8. if the value of the diamond is proportional to the square of it's weight,then what will be the loss due to its breakage in rs
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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
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