The price of diamond is directly proportional to the square of its weight. If it breaks in the ratio 3 : 4 : 5, and if the diamond breaks equally then, ₹1800 is earned less. Then the real price of diamond is :

₹129600

                              1st               2nd           3rd  

Actual weight          3        :         4       :      5     ⇒   12   ....... (i)

Equal Break            4       :          4      :       4     ⇒   12

ATQ, Price = (Weight)²

                                  1st               2nd           3rd         Total

Price                             9        :       16       :    25     ⇒   50

Price (Equal Break)       16      :       16       :    16     ⇒   48

Here, Loss = 50R - 48R = 2R = 1800 (given),

1R = 900/-

Now,

Actual Price = 12² = 144R   From (i)

144R = 144 × 900 = 129600/-