A, B and C are three boxes containing marbles in the ratio 3:5:7 and the total number of marbles is 150. If 12 mar are transferred from A to B and 8 marbles are transferred from B to C, then the new ratio of the marbles A: B: C is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 3:9:13.
Let the common multiplying factor = x
⇒ 3x + 5x + 7x = 150 ⇒ 15x = 150
⇒ x = 10
So,
A = 3x = 30; B = 5x = 50; C = 7x = 70
12 marbles transferred from A to B ⇒ A = 30 – 12 = 18 and B = 50 + 12 = 62
Then, 8 marbles were transferred from B to C ⇒ B = 62 – 8 = 54 and C = 70 + 8 = 78
Hence
A : B : C = 18 : 54 : 78 = 3 : 9 : 13