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Question

The cost of diamond varies directly as the square of its weight. A diamond weight 10 grams cost Rs8,000. If it breaks into two pieces whose weights are in the ratio 3:2, then the loss incurred (in rupees)
  1. 3840
  2. 4160
  3. 4040
  4. 3960

A
3840
B
4040
C
3960
D
4160
Solution
Verified by Toppr

Cost of diamond =k(weight)2
8000=k(10)2
k=8000100=80
Diamond was broke into two pieces = 3x+2x=10,
5x=10x=2
Ist part: 3x=6
IInd part: 2x=4
Ist part; cost80×36=2880
IInd part; cost80×16=1280
Total cost = 2880+1280=4160
So loss = 80004160=3840

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