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)
3840
4160
4040
3960
A
3840
B
4040
C
3960
D
4160
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Solution
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Cost of diamond =k(weight)2 8000=k(10)2 k=8000100=80 Diamond was broke into two pieces = 3x+2x=10, 5x=10⇒x=2 Ist part: 3x=6 IInd part: 2x=4 Ist part; cost⇒80×36=2880 IInd part; cost⇒80×16=1280 Total cost = 2880+1280=4160 So loss = 8000−4160=3840
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