Blending two grades of wheat — Aptitude Question
Blending two grades of wheat: Wheat at ₹24 per kg is mixed with wheat at ₹36 per kg so the mixture is worth ₹30 per… Answer and worked solution on CodeKairo.
- Topic: Mixtures & Alligation
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
Wheat at ₹24 per kg is mixed with wheat at ₹36 per kg so the mixture is worth ₹30 per kg. In what ratio are they mixed?
Options
- 1 : 1
- 1 : 2
- 2 : 1
- 3 : 2
Show the answer and the worked solution
Correct answer: A. 1 : 1
Worked solution
- Cheaper : dearer = (36 − 30) : (30 − 24) = 6 : 6 = 1 : 1.
- Check: (24 + 36)/2 = 30. ✓
Answer: 1 : 1.
The idea
When the mean lies exactly midway between the two prices, the ratio is always 1 : 1. Spotting that saves the cross entirely.
Shortcut. The cheap wheat is ₹6 below the mean and the dear wheat ₹6 above; equal deviations balance only with equal quantities, 1 : 1.
Common trap. "3 : 2" — writing the ratio of the prices, 36 : 24, instead of the ratio of their differences from ₹30.