Multiple choice

price of a precious stone is directly proportional to square of its weight. Due to some reasons a piece of stone is break into three parts in ratio 3:5:2 due to which its total price is reduced by Rs 14260. Find the original price of stone.

  1. 22500 Rs

  2. 23000 Rs

  3. 21500 Rs

  4. 23800 Rs

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original weight = 10x (parts 3:5:2). Original price ∝ (10x)² = 100x². New prices: (3x)² + (5x)² + (2x)² = 9x² + 25x² + 4x² = 38x². Price reduction = 100x² - 38x² = 62x² = 14260. x² = 14260/62 = 230. Original price = 100x² = 100 × 230 = 23000. Matches option B exactly.

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