The value of a diamond is Rs 40000, which is the directly proportional to the square of its weight. For some reason the diamond fall and is broken into two parts in the ratio of 1: 3. Find out the loss percentage on diamond.
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0%
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32%
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35%
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37.5%
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None of these
D
Correct answer
Explanation
When value is proportional to the square of weight, breaking causes significant value loss. Let original weight be 4x (parts x and 3x). Original value = k(4x)² = 16kx². New values: kx² + k(3x)² = kx² + 9kx² = 10kx². Loss = 16kx² - 10kx² = 6kx². Loss percentage = (6/16) × 100 = 37.5%. The answer D (37.5%) is correct.