Let the weight of diamond = x The original price of the diamond is proportional to x2. When diamond breaks into three pieces 3y , 5y and 7y . x=3y+5y+7y=15y Original price of diamond =(15y)2=225y2 Price of diamond after breakage =(3y)2+(5y)2+(7y)2=83y2 According to the question, 225y2−83y2=42600 ⇒ 142y2=42600 ∴ y2=300 Original price of diamond =225×300=₹67500