arrow
arrow
arrow
A precious crystal piece worth Rs.15600 is accidentally dropped and was broken into three pieces, their weights respectively proportional to 2, 3 and
Question

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.

A.

25%

B.

75%

C.

84%

D.

16%

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%.

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB JE CBT-I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow