Mixture and Alligation Questions for SBI PO involve combining two or more ingredients with different prices, concentrations or quantities. Questions may also require replacing part of a mixture repeatedly.
The alligation method helps candidates calculate the required ratio without forming lengthy equations.
Mixture and Alligation Questions for SBI PO : Live Quiz
Attempt the free Mixture and Alligation live quiz for SBI PO 2026 to evaluate your preparation. The quiz includes exam-oriented questions based on the latest SBI PO pattern, helping you strengthen conceptual understanding, improve calculation speed and accuracy, and identify areas that need more practice.
Q1. Rice costing ₹40 per kg is mixed with rice costing ₹60 per kg to obtain a mixture worth ₹48 per kg. Find the ratio of cheaper rice to dearer rice.
By the rule of alligation:
Cheaper : Dearer
= (Dearer price − Mean price) : (Mean price − Cheaper price)
= (₹60 − ₹48) : (₹48 − ₹40)
= 12 : 8
= 3 : 2
Answer: 3:2
Q2. In what ratio should 20% and 50% solutions be mixed to obtain a 30% solution?
Ratio of 20% solution to 50% solution:
= (50 − 30) : (30 − 20)
= 20 : 10
= 2 : 1
Answer: 2:1
Q3. A vessel contains 40 litres of milk. Eight litres are removed and replaced with water. Find the quantity of milk remaining.
Initially, the vessel contains 40 litres of pure milk.
Milk removed = 8 litres
Milk remaining = 40 − 8
= 32 litres
Alternatively:
Milk remaining = 40 × (1 − 8/40)
= 40 × 32/40
= 32 litres
Answer: 32 litres
Q4. A 60-litre mixture contains milk and water in the ratio 4:1. Find the quantity of water.
Ratio of milk to water = 4:1
Total parts = 4 + 1
= 5 parts
Water = 60 × 1/5
= 12 litres
Answer: 12 litres
Q5. Tea worth ₹300 per kg is mixed with tea worth ₹450 per kg in the ratio 2:3. Find the average price of the mixture.
Average price = Total cost ÷ Total quantity
Average price = [(₹300 × 2) + (₹450 × 3)] ÷ (2 + 3)
= (₹600 + ₹1,350) ÷ 5
= ₹1,950 ÷ 5
= ₹390 per kg
Answer: ₹390 per kg
Quiz Summary
Quiz Completed!
Improve your Quantitative Aptitude preparation by solving more exam-level mixture and alligation questions.
Solve More QuestionsAlligation Rule
When two items with values C1 and C2 are mixed to obtain a mean value M:
Quantity of cheaper : Quantity of dearer
= (C2 − M) : (M − C1)
Common Mistakes
- Reversing the alligation ratio
- Using quantity instead of price or concentration
- Ignoring the amount removed in replacement questions
- Treating repeated replacement as a single operation
- Calculating the weighted average incorrectly
FAQs
What is alligation?
Alligation is a shortcut used to find the ratio in which two ingredients should be mixed to obtain a required mean value.
Can alligation be used for concentration questions?
Yes. It works for price, concentration, marks, speed and other weighted-average situations.
How are repeated replacement questions solved?
Use: Initial quantity × (1 − Quantity removed/Total quantity)ⁿ.
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