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

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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  1. 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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