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
@Rajib Banerjee
Thanks a lot for good explanation. We did the modification as per your request.
Team TakeGMAT.com
Please replace the “?” by “square root”. Sorry for the confusion.
Please replace the “?” by “?”
Answer is D as expaned by Rajib
D…
Ans D
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$.