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    Question

    The cost of diamond varies directly as the square of its

    weight. A diamond broke into four pieces with weights in the ratio 2 : 4 : 6 : 7. if the loss in the total value of the diamond was Rs. 140,800. The price of the original diamond was?
    A Rs 128000 Correct Answer Incorrect Answer
    B Rs 196000 Correct Answer Incorrect Answer
    C Rs 169000 Correct Answer Incorrect Answer
    D Rs 147000 Correct Answer Incorrect Answer
    E Rs 198550 Correct Answer Incorrect Answer

    Solution

    Let the weight of the pieces of diamond be 2x, 4x, 6x, 7x Total weight of diamond = 2x + 4x + 6x + 7x = 19x Price prop; (weight)2 =gt; Price = k(weight)2 ; where, K is constant Original price = k(19x)2 Price of pieces = (4kx2 + 16kx2 + 36kx2 + 49kx2) = 105kx2 Loss in price = 361kx2 ndash; 105kx2 = 256kx2 which is given as 140,800 =gt; 256kx2 = 140800 =gt; kx2 = 550 Original price = 361kx2 = 361 x 550 = 198550

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