A sum of Rs. 4800 is divided among A, B, and C in the ratio 3 : 4 : 5. The share of B is how much more than that of A?

Question

A sum of Rs. 4800 is divided among A, B, and C in the ratio 3 : 4 : 5. The share of B is how much more than that of A?

1. A. Rs. 400 (Correct answer)
2. B. Rs. 300
3. C. Rs. 200
4. D. Rs. 500

Correct Answer

Option A — Rs. 400

Detailed Solution & Explanation

The correct answer is Rs. 400.

Key Points

• The ratio 3 : 4 : 5 has 12 parts in total.
• One part = 4800 / 12 = Rs. 400.
• B's share exceeds A's by 4 − 3 = 1 part, which is Rs. 400.

Additional Information

• The shares are A = 1,200, B = 1,600 and C = 2,000, summing to Rs. 4,800 ✓.
• Because the difference asked for happens to be exactly one part, the answer equals the value of one part — a coincidence worth noticing rather than a general rule.
• The general approach for any "how much more" question is to express the difference in parts first, then multiply by the value of one part.
• With a ratio and a total, divide by the sum of the terms; with a ratio and a difference, divide by the difference of the terms instead.