Question

A solid diamond falls and breaks into three pieces whose weights are in the ratio of 2 : 3 : 4. the value of each piece is directly proportional to the square of their weights given that the value of solid diamond is rs 24300, find the loss due to breakage.

Answer 1

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Answer 2

Answer: Loss is Rs. 15600

Step-by-step explanation:

Given value of total diamond = Rs 24300

Let the total value of pieced diamond = x

The value of each piece is directly proportional to the square of their weights

By using ratio and proportion

$\dfrac{\text {Square of weight of whole diamond}}{\text{ Price of whole diamond}} =\dfrac{\text {Square of weight of peices}}{\text{ Price of pieces }} \\\\\Rightarrow \dfrac{(2+3+4)^2}{24300} =\dfrac{2^2+3^2+4^2}{x} \\\\\Rightarrow \dfrac{81}{24300} = \dfrac{29}{x} \\\\\Rightarrow x=Rs. 8700$

Loss = Rs. 24300 - Rs. 8700= Rs 15600

Hence, the loss is Rs.15600