Answers

2015-07-18T18:06:39+05:30
Price varies directly with square of weight.
Weight of the broken pieces are in the ratio 32:24:9

Let the weights of the pieces = 32x, 24x and 9x

Let price of diamond of weight 32x = (32x)² = 1024x²
price of diamond of weight 24x = (24x)² = 576x²
price of diamond of weight 9x = (9x)² = 81x²
Total price of broken pieces = 1024x² + 576x² + 81x² = 1681x²


Weight of the diamond before breaking = 32x + 24x + 9x = 65x
price of diamond of weight 65x = (65x)² = 4225x²

Loss = 4225x² - 1681x² = 2544x²
given that loss = 25.44 lakh

So 2544x² = 25.44 lakh
⇒ x² = (25.44/2544) lakh = 0.01 lakh

Initial value of diamond = 4225x² = 4225×0.01 lakh = 42.25 lakh


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