Mixture and Alligation Questions for SBI PO 2026, Free Live Quiz and PDF

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.

Solution:
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?

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.

Solution:
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.

Solution:
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.

Solution:
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

Attempted

Correct

Wrong

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Final Score: 0.00

Alligation 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

Also Read
300+ SBI PO English Important Questions	SBI PO Previous Year Question Paper PDF Free Download for Prelims and Mains Exam
SBI PO Syllabus 2026: Complete Guide for Prelims & Mains	Daily Current Affairs for Banking & Govt Exams

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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