If the cost of a diamond varies directly with the square of its weight and if the weight of the
diamond is 5 grams, then the cost is Rs.1500. What will be the cost of 12 grams diamond?
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Answer:
Cost of diamond =k(weight)
2
8000=k(10)
2
k=
100
8000
=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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