A piece of diamond accidently dropped and broke into 4 equal pieces. The value of the diamond varies to the cube of its weight. If the cost of diamond before breakage was $Rs. 64000$, find the loss after breakage.
My Attempt:
Let the weight of diamond before breakage be $x$ kg.
Price$=Rs. 64000$
Weight of each broken piece$=0.25x$ kg.
Now, what should I do on? Please give answer with clear explanation.
The information that you have not used is that of the price of the diamond varies to the cube of its weight. The formula that expresses this idea is:
$$\frac{\text{Price of diamond }A}{\text{Price of diamond }B}=\left(\frac{\text{Weight of diamond }A}{\text{Weight of diamond }B}\right)^3$$