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 :
Answer & explanation
Correct answer: option 1
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/-