ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    The cost of diamond varies directly as the square of its

    weight. A diamond broke into four pieces with weights in the ratio 1 : 3 : 4 : 6. if the loss in the total value of the diamond was Rs. 100,500. The price of the original diamond was?┬а
    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 x, 3x, 4x, 6x Total weight of diamond = x + 3x + 4x + 6x = 14x Price тИЭ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(14x)2 Price of pieces = (kx2 + 9kx2 + 16kx2 + 36kx2) = 62kx2 Loss in price = 196kx2 тАУ 62kx2 = 134kx2 which is given as 100,500 => 134kx2 = 100500 => kx2 = 750 Original price = 196kx2 = 196 x 750 = 147000

    Practice Next
    More Ratio and proportion Questions

    Relevant for Exams:

    ask-question