Blending tea for a target price — Aptitude Question
Blending tea for a target price: In what ratio must tea at ₹62 per kg be mixed with tea at ₹72 per kg so the… Answer and worked solution on CodeKairo.
- Topic: Mixtures & Alligation
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
In what ratio must tea at ₹62 per kg be mixed with tea at ₹72 per kg so the mixture is worth ₹64.50 per kg?
Options
- 1 : 3
- 2 : 3
- 3 : 1
- 3 : 2
Show the answer and the worked solution
Correct answer: C. 3 : 1
Worked solution
- Cheaper : dearer = (72 − 64.5) : (64.5 − 62) = 7.5 : 2.5 = 3 : 1.
- Check: (3 × 62 + 1 × 72)/4 = 258/4 = 64.5. ✓
Answer: 3 : 1.
The idea
Decimals in the mean are no obstacle — the differences reduce cleanly. Always verify by taking the weighted average of your answer.
Shortcut. ₹64.50 is a quarter of the way from ₹62 to ₹72 (2.5 of 10), so the dearer tea is one part in four: 3 : 1.
Common trap. 1 : 3 — keeping the distances 2.5 : 7.5 uncrossed; that blend would cost ₹69.50 a kg.