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
Answer is D.
Explanation : Let x be the original weight => x^2 = 20000 => x = 100^2. Since the pieces were broken in the ratio of 3:2:5, their respective weights is 30^2, 20^2 and 50^2. Their respective value is 1800$, 800$ and 5000$. (value of a diamond is proportional to the square of its weight) Their combined value is 7600$. The loss is therefore 20000 – 7600 = 12400$.
Ans D
D…
Answer is D as expaned by Rajib
Please replace the “?” by “?”
Please replace the “?” by “square root”. Sorry for the confusion.
@Rajib Banerjee
Thanks a lot for good explanation. We did the modification as per your request.
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