If R are divided between A and B in the ratio of a/b : c/d, then what is the amount that A shall receive?

Question

If R are divided between A and B in the ratio of a/b : c/d, then what is the amount that A shall receive?

1. A. adR/(ad+bc) (Correct answer)
2. B. abR/(ad+bc)
3. C. abR/(ac+bd)
4. D. adR/(ab+cd)

Correct Answer

Option A — adR/(ad+bc)

Detailed Solution & Explanation

The correct answer is adR/(ad+bc).

Key Points

• Ratio a/b : c/d = ad : bc (multiplying through by bd).
• A's share = ad/(ad+bc) × R = adR/(ad+bc).

प्रश्न (हिन्दी में)

यदि R को A और B के बीच a/b : c/d के अनुपात में विभाजित किया जाए, तो A को कितनी राशि प्राप्त होगी?

1. A. adR/(ad+bc)
2. B. abR/(ad+bc)
3. C. abR/(ac+bd)
4. D. adR/(ab+cd)