Multiple choice

A precious stone weighing 35 grams worth Rs.12250 is accidently dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight. Then find the loss occured. एक मूल्यवान 35 ग्राम का पत्थर, जिसकी कीमत रू.12250 है गिरने के कारण दो भागों में टूट जाता है | जिनके वजन का अनुपात 2: 5 है | यदि इनकी कीमत वजन के वर्ग के अनुक्रमानुपाती हो, तो होने वाली हानि का मान ज्ञात कीजिये |

  1. Rs./रू. 3000

  2. Rs./रू. 4000

  3. Rs./रू. 5000

  4. Rs./रू. 6000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total weight = 35g in ratio 2:5. First piece = (2/7) × 35 = 10g, second piece = (2/7) × 35 = 25g. Price varies as square of weight, so original value k(35)² = 12250, giving k = 10. New value = 10(10² + 25²) = 10(100 + 625) = 7250. Loss = 12250 - 7250 = 5000.

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