Question

Cost of a diamond varies directly as the square of its weight.a diamond fell down and broke into pieces whose weights were in the ratio 2:3:4 . What is the loss due to breakage. If the initial cost of the whole diamond was rs 162000 ?

Answer 1

Answer:

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Step-by-step explanation:

Ratio of weights is 1:2:3:4

Ratio of costs 1:4:9:16

Let the smallest piece cost be x. Then the cost of other pieces is 4x, 9x, and 16x

Adding up we get total cost as 30x.

The weight of the original unbroken diamond would have been 1+2+3+4 that is 10 and its cost would be 100x

So the loss is 100x - 30x = 70x

Given that 70x = $70,000 we get x = $1000

Original price is 100x = $100,000

Reduced price after cutting into four pieces is 30x = $30,000