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?
A175000
B105000
C125000
D135000
Answer:
A. 175000
Explanation:
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