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Let the weight of the pieces of diamond be 4x, 5x, 6x, 7x Total weight of diamond = 4x + 5x + 6x + 7x = 22x Price ∝ (weight)2 => Price = k(weight)2 ; where, K is constant Original price = k(22x)2 Price of pieces = (16kx2 + 25kx2 + 36kx2 + 49kx2) = 126kx2 Loss in price = 484kx2 – 126kx2 = 358kx2 which is given as 179,000 => 358kx2 = 179000 => kx2 = 500 Original price = 484kx2 = 484 x 500 = 242000
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