A sum of money is to be divided among A, B, C, and D in the ratio 5 : 2 : 4 : 3. If C receives ₹1000 more than D, what is B's share?
Aptitude
Ratio and Proportion
Difficulty: Easy
Choose an option
Answer
Correct Answer: ₹2000
Explanation
Problem restatementMoney is split in the ratio 5 : 2 : 4 : 3 (A : B : C : D). Given C − D = ₹1000, find B's share.
Given data
- Shares ∝ 5k, 2k, 4k, 3k.
- 4k − 3k = ₹1000 ⇒ k = ₹1000.
Concept/ApproachTranslate the ratio into parts with a common multiplier k and use the given difference to find k.
Step-by-step calculation k = 1000 B's share = 2k = 2 × ₹1000 = ₹2000
Verification/AlternativeC = 4k = ₹4000; D = 3k = ₹3000 → difference ₹1000 (checks out).
Final Answer₹2000