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22 April, 19:46

The cost of a diamond varies as the square of its weight. A diamond weighing 20 decigrams costs Rs. 4,800. Find the cost of a diamond of the same kind weighing 8 decigrams.

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  1. 22 April, 22:30
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    768

    Step-by-step explanation:

    let C represent cost and w weight, then the equation relating them is

    C = kw² ← k is the constant of variation

    To find k use the condition w = 20, C = 4800, that is

    4800 = k * 20² = 400k (divide both sides by 400)

    12 = k

    C = 12w² ← equation of variation

    When w = 8, then

    C = 12 * 8² = 12 * 64 = 768
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