Multiple choice

An amount of Rs. 704 is distributed among A, B and C such that A's share : B's share = 1 : 2 and B's share : C's share = 1 : 4. What is the share of B?

  1. Rs. 64

  2. Rs. 84

  3. Rs. 512

  4. Rs. 128

  5. Rs. 32
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A:B = 1:2, B:C = 1:4. To link them, B must be the same. A:B = 1:2, B:C = 2:8. So A:B:C = 1:2:8. Total parts = 11. Share of B = (2/11) * 704 = 2 * 64 = 128.

AI explanation

To combine the ratios, adjust B's share so it has a common value in both proportions. A to B is 1 to 2, and B to C is 1 to 4; multiplying the second ratio by 2 makes B to C equal to 2 to 8, so the combined ratio of A to B to C is 1 to 2 to 8. The total of 11 parts equals the Rs. 704 amount, meaning one part is Rs. 64; since B's share is 2 parts, B receives Rs. 128.

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