Sharing under two linked ratios — Aptitude Question
Sharing under two linked ratios: ₹3,500 is divided among A, B and C such that A : B = 2 : 3 and B : C = 4 : 5. Answer and worked solution on CodeKairo.
- Topic: Ratio & Proportion
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 90 seconds
Question
₹3,500 is divided among A, B and C such that A : B = 2 : 3 and B : C = 4 : 5. What is C's share?
Options
- ₹800
- ₹1,200
- ₹1,500
- ₹1,800
Show the answer and the worked solution
Correct answer: C. ₹1,500
Worked solution
- A : B = 2 : 3 = 8 : 12; B : C = 4 : 5 = 12 : 15 → A : B : C = 8 : 12 : 15.
- Total parts = 35, so one part = 3,500 ÷ 35 = ₹100.
- C = 15 × 100 = ₹1,500.
Answer: ₹1,500.
The idea
Combine the ratios before sharing anything out. The total is chosen to divide the part count evenly, which is a hint that you have combined correctly.
Shortcut. Once the ratio is 8 : 12 : 15, C's fraction is 15/35 = 3/7, and 3/7 × 3,500 = 1,500.
Common trap. "₹1,200" — building 8 : 12 : 15 correctly but reading off B's 12 parts instead of C's 15.