A, B, and C are three boxes containing marbles in the ratio 2 : 3 : 5, and the total number of marbles is 80. If 6 marbles are transferred from A to B and 10 marbles are transferred from C to B, then the new ratio of marbles for B : A : C is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4 : 1 : 3.
Let the marbles in boxes A, B, and C be 2x, 3x, and 5x
⇒ 2x + 3x + 5x = 80
⇒ 10x = 80
⇒ x = 8
Marbles in Box A = 2x = 16
Marbles in Box B = 3x = 24
Marbles in Box C = 5x = 40
6 marbles are transferred from A to B
Number of marbles in box A after transfer of marbles = 16 - 6 = 10
Number of marbles in box C after transfer of marbles = 40 - 10 = 30
Number of marbles in box B after transfer of marbles = 24 + 6 + 10 = 40
Now, B : A : C = 40 : 10 : 30 = 4 : 1 : 3