The value of a diamond is proportional to the square of its weight. If a diamond worth ₹64,000 is broken into two pieces in the ratio 3:5, what is the loss incurred? एक हीरे का मूल्य उसके वजन के वर्ग के समानुपाती होता है। यदि ₹64,000 का हीरा 3:5 के अनुपात में दो टुकड़ों में टूट जाता है, तो कितनी हानि हुई?
A
₹20,000 (₹20,000)
B
₹30,000 (₹30,000)
C
₹34,000 (₹34,000)
D
₹40,000 (₹40,000)
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Correct Answer ₹30,000
Explanation
Initial weight = 8 units, Value = 8^2 = 64 units = 64000. New Value = 3^2 + 5^2 = 9 + 25 = 34 units. Loss = 64 - 34 = 30 units = ₹30,000.