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Let the weight of the pieces of diamond be x, 3x, 4x, 7x Total weight of diamond = x + 3x + 4x + 7x = 15x Price ∝ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(15x)2 Price of pieces = (kx2 + 9kx2 + 16kx2 + 49kx2) = 75kx2 Loss in price = 225kx2 – 75kx2 = 150kx2 which is given as 90,000 => 150kx2 = 90000 => kx2 = 600 Original price = 225kx2 = 225 x 600 = 135000
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