Question

The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price.

• A. 10000
• B. 100000
• C. 700000
• D. 110000

Answer 1

The correct option is B

100000

Price of the diamond = kx${}^2$.

So, the original value is k10${}^2$ = 100k

The new values are = k1${}^2$ + k2${}^2$ + k3${}^2$+ k4${}^2$ = k(30) = 30k

Therefore, 70000 represents a 70% loss of value.

$\Rightarrow 70000=\frac{7}{10}x$

$\Rightarrow x=100000$