The price of gold is directly proportional to the square of its weight. It being sold after breaking in the ratio of 1 : 2 : 3 therefore earned a loss of ₹440. The price of gold before breaking is:
Answer & explanation
Correct answer: option 4
Price of gold = ( weight of gold)2
I : II : III : Actual
weight ⇒ 1 : 2 : 3 : 6
Price ⇒ 12 : 22 : 32 : 62
⇒ 1 : 4 : 9 : 36
Now,
Actual Price = 36
Price after break = (9 + 4 + 1) = 14
Loss = 36 - 14 = 22R
⇒ 22R = 440 (given)
⇒ 1R = 20
Hence,
Actual Price = 36 × 20 = 720/-