The price of gold is directly proportional to the square of its weight. It being sold after breaking in the ratio of 2 : 3 : 4 therefore earned a loss of ₹1560. The price of gold before breaking is

2430

Price of gold = ( weight of gold)²

               I   :   II   :   III  :  Actual

weight ⇒  2   :   3    :    4   :     9

Price   ⇒  2²  :   3²   :   4²   :    9²

          ⇒  4  :   9    :    16    :   81

Now,

Actual Price = 81

Price after break = (4 + 9 + 16) = 29

Loss  = 81 - 29 = 52R

⇒ 52R = 1560 (given)

⇒  1R  =  30

Hence,

Actual Price = 81 × 30 = 2430/-