Multiple choice

A precious stone weighing 35 grams worth Rs. 12250 is accidentally dropped and gets broken into two pieces having weights in the ratio 2 : 5. If the price varies as the square of the weight then find the loss incurred.

  1. Rs. 4500

  2. Rs. 5000

  3. Rs. 5200

  4. Rs. 5700

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

Total weight = 35g in ratio 2:5. First piece = (2/7) × 35 = 10g, second piece = (5/7) × 35 = 25g. Price varies as square of weight, so price ∝ w². Original value ∝ 35² = 1225. New value ∝ 10² + 25² = 100 + 625 = 725. Loss in value ∝ 1225 - 725 = 500. Given 1225 corresponds to Rs. 12250, 500 corresponds to Rs. 5000. Option B is correct.

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