A certain sum is divided among A, B and C in such a way that the ratio of shares of A and B is 3 : 4 and that of share of C and B is 9 : 5. If the difference between the shares of A and C is ₹462, than the sum (in ₹) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1,562.
Given, A : B = 3 : 4
Also, B : C = 5 : 9
Now, A : B : C = 15 : 20 : 36
Let the shares of A, B and C be 15x, 20x and 36x respectively.
36x - 15x = 462
⇒ 21x = 462
⇒ x = 22
Total sum = 15x + 20x + 36x
⇒ 71x = 1562