Multiple choice

Rs. 4,06,736 is divided among A, B and C such that the ratio between A and B is 2 : 3 and B and C is 1 : 2. The share of C is:

  1. Rs. 73,952

  2. Rs. 1,10,928

  3. Rs. 2,64,796

  4. Rs. 2,21,856

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First, we combine the ratios to find A : B : C. Since A : B = 2 : 3 and B : C = 1 : 2 (which is equivalent to 3 : 6), the combined ratio is A : B : C = 2 : 3 : 6. The total number of parts is 2 + 3 + 6 = 11, so C's share is (6 / 11) * 406736 = Rs. 221856.

AI explanation

The combined ratio for A, B and C is found by making the B terms equal, which gives the ratio 2 to 3 to 6. The total parts are 2 plus 3 plus 6, which equals 11 parts. The value of one part is 406736 divided by 11, which gives 36976. The share of C is 6 parts, so 6 times 36976 gives 221856.