Question

A diamond broken into 4 pieces whose weights are in the ratio 1 : 2 : 3 : 4. Its value varies directly with the square of its weight . if the original value of the Diamond in rupees was 250000, what was the loss in its value due to the damage caused by the brakage?

• A. 175000
• B. 105000
• C. 125000
• D. 135000

Answer 1

Answer:

A. 175000

ratio of weights = 1 : 2 : 3 : 4 1 + 2 + 3 + 4 = 10 Its value varies directly with the square of its weight ⇒ ratio = 1 : 4 : 9 : 16 1 + 4 + 9 + 16 = 10^2 = 100 ⇒ 30 = 100 100 = 250000 100 - 30 = 70% = 250000 × 70/100 = 175000