The value of a diamond is proportional to the square of its weight

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The value of a diamond is proportional to the square of its weight. It is broken into three pieces whose weights are in the ratio 3:2:5. Find the loss incurred due to breakage if the value of the original diamond is USD 20,000.

A. 12,600
B. 12,200
C. 12,000
D.12,400
E. 13,300

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