Multiple choice

Price of a diamond is directly proportional to the square of its weight. If the diamond break into 3 pieces by mistake, the ratio of their weight becomes 1 : 2 : 3 : therefore loss will arise Rs 440,00. Find original price of the diamond? हीरे की कीमत उसके वजन के वर्ग के सीधे आनुपातिक होती है। यदि गलती से हीरा 3 टुकड़ों में टूट जाता है, तो उनके वजन का अनुपात 1:2:3 हो जाता है: इसलिए नुकसान 440,00 रुपये होगा। हीरे की वास्तविक कीमत ज्ञात कीजिए?

  1. Rs 36000 36000 रुपये

  2. Rs 72000 72000 रुपये

  3. Rs 22000 22000 रुपये

  4. Rs 18000 18000 रुपये

  5. Rs 16500 16500 रुपये
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original weight be 6x and price be k(6x)² = 36kx². When broken into pieces with weights 1x, 2x, 3x, their prices are kx², 4kx², 9kx² totaling 14kx². Loss = 36kx² - 14kx² = 22kx² = Rs 44,000. Original price = 36kx² = (36/22) × 44,000 = Rs 72,000.

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