A precious crystal piece worth Rs.15600 is accidentally dropped and was broken into three pieces, their weights respectively proportional to 2, 3 and 5 units. Value of the crystal varies directly as the cube of its weight. Calculate the percentage loss in the value.

Correct option is C

Given:
Weights are in proportion of 2:3:5, and the total value of the crystal is Rs.15600.
Formula Used:
Value ∝ (weight)³
Solution:
The total weight = 2 + 3 + 5 = 10 units.
Initial value = (Total weight)³ = (10)³ = 1000.
Values of individual pieces:
Piece 1: (2³) = 8, Piece 2: (3³) = 27, Piece 3: (5³) = 125.
Total value after breakage = 8 + 27 + 125 = 160.
Percentage loss in value = ((1000 - 160) / 1000) * 100 = 84%.