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A solid diamond falls and breaks into three pieces whose weights are in 2 : 3 : 4. The value of each piece is directly proportional to the square of their weights. Given that the value of solid diamond is Rs. 24300. What was his loss due to breakage?
  • a)
    Rs. 1,00,00
  • b)
    Rs. 1,56,00
  • c)
    Rs. 1,46,00
  • d)
    Rs. 1,50,00
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Given Information:
- The weights of the three pieces are in the ratio 2:3:4.
- The value of each piece is directly proportional to the square of their weights.
- The value of the solid diamond is Rs. 24300.

Calculating the weights of the three pieces:
- Let the weights of the three pieces be 2x, 3x, and 4x.
- The total weight of the solid diamond is 2x + 3x + 4x = 9x.
- Since the total weight of the solid diamond is 24300, we have 9x = 24300.
- Therefore, x = 2700.
- The weights of the three pieces are 2x = 5400, 3x = 8100, and 4x = 10800.

Calculating the value of each piece:
- The value of each piece is directly proportional to the square of their weights.
- So, the values of the three pieces are 5400^2, 8100^2, and 10800^2.

Calculating the total value of the solid diamond:
- The total value of the solid diamond is the sum of the values of the three pieces.
- Therefore, the total value = 5400^2 + 8100^2 + 10800^2 = 29160000.

Calculating the loss due to breakage:
- Loss = Total value of the solid diamond - Value of the solid diamond before breakage.
- Loss = 29160000 - 24300 = Rs. 156000.
Therefore, the loss due to breakage was Rs. 156,000. So, the correct answer is option B.
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A solid diamond falls and breaks into three pieces whose weights are in 2 : 3 : 4. The value of each piece is directly proportional to the square of their weights. Given that the value of solid diamond is Rs. 24300. What was his loss due to breakage?a)Rs. 1,00,00b)Rs. 1,56,00c)Rs. 1,46,00d)Rs. 1,50,00e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A solid diamond falls and breaks into three pieces whose weights are in 2 : 3 : 4. The value of each piece is directly proportional to the square of their weights. Given that the value of solid diamond is Rs. 24300. What was his loss due to breakage?a)Rs. 1,00,00b)Rs. 1,56,00c)Rs. 1,46,00d)Rs. 1,50,00e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A solid diamond falls and breaks into three pieces whose weights are in 2 : 3 : 4. The value of each piece is directly proportional to the square of their weights. Given that the value of solid diamond is Rs. 24300. What was his loss due to breakage?a)Rs. 1,00,00b)Rs. 1,56,00c)Rs. 1,46,00d)Rs. 1,50,00e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid diamond falls and breaks into three pieces whose weights are in 2 : 3 : 4. The value of each piece is directly proportional to the square of their weights. Given that the value of solid diamond is Rs. 24300. What was his loss due to breakage?a)Rs. 1,00,00b)Rs. 1,56,00c)Rs. 1,46,00d)Rs. 1,50,00e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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