Multiple choice

A precious stone worth Rs. 19200 is accidently breaks in to three pieces the weight of three pieces are in the ratio 4: 5: 7. The value of the stone is proportional to the squares of its weight, find the total loss after broken. 19200 रुपये के मूल्य का एक अनमोल पत्थर गलती से गिरा और तीन टुकड़ों में टूटा गया । उन तीन पत्थरों के वजन का अनुपात 4: 5: 7 है । पत्थर का मूल्य उसके वजन के वर्गों के समानुपातिक है, तो टूटने के बाद हानि ज्ञात करें ।

  1. Rs. 13250

  2. Rs. 11500

  3. Rs. 12450

  4. Rs. 9250

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let weights be 4x, 5x, 7x. Total weight = 16x. Since value ∝ (weight)², original value = k(16x)² = 256kx² = 19200. Sum of values of pieces = k[(4x)² + (5x)² + (7x)²] = kx²[16 + 25 + 49] = 90kx². Loss = 256kx² - 90kx² = 166kx². Since 256kx² = 19200, kx² = 75. Loss = 166 × 75 = 12450. Option C is correct.