Ratio and Proportion Questions for SBI PO 2026, Practice Free Live Quiz

Ratio and Proportion Questions for SBI PO evaluate a candidate’s ability to compare quantities and identify mathematical relationships. The topic is also used in partnership, mixtures, ages, profit and loss, Data Interpretation and time-and-work problems.

Candidates should understand ratio simplification, equivalent ratios, direct proportion and inverse proportion before attempting advanced questions.

Ratio and Proportion Questions : Free Live Quiz

Ratio and Proportion is an important Quantitative Aptitude topic in the SBI PO exam. Questions from this topic require candidates to compare quantities, apply proportional relationships, and calculate unknown values accurately. Practising exam-level quizzes regularly helps improve conceptual understanding, calculation speed, time management, and familiarity with different question types.

Attempt the SBI PO Ratio and Proportion Quiz to evaluate your preparation, identify weak areas, and improve your chances of scoring higher in the examination.

Q1. Divide ₹7,200 in the ratio 3:5.

Solution:
Total parts = 3 + 5 = 8

First share = ₹7,200 × 3/8
= ₹2,700

Second share = ₹7,200 × 5/8
= ₹4,500
Answer: ₹2,700 and ₹4,500

Q2. The ratio of two numbers is 4:7. Their sum is 99. Find the two numbers.

Solution:
Total parts = 4 + 7 = 11

Value of one part = 99 ÷ 11
= 9

First number = 4 × 9 = 36
Second number = 7 × 9 = 63
Answer: 36 and 63

Q3. If 12 workers complete a task in 15 days, how many workers will complete the same task in 10 days?

Solution:
The number of workers and the number of days are inversely proportional.

12 × 15 = Number of workers × 10
Number of workers = (12 × 15) ÷ 10
= 18
Answer: 18 workers

Q4. The incomes of A and B are in the ratio 5:6, while their expenditures are in the ratio 3:4. If both save ₹4,000, find A’s income.

Solution:
Let the incomes of A and B be 5x and 6x.
Let their expenditures be 3y and 4y.

Since both save ₹4,000:
5x − 3y = 4,000
6x − 4y = 4,000

Multiply the first equation by 4:
20x − 12y = 16,000

Multiply the second equation by 3:
18x − 12y = 12,000

Subtracting the equations:
2x = 4,000
x = 2,000

A’s income = 5x
= 5 × ₹2,000
= ₹10,000
Answer: ₹10,000

Q5. If a:b = 2:3 and b:c = 4:5, find a:b:c.

Solution:
Given:
a:b = 2:3
b:c = 4:5

Make the value of b equal in both ratios.

Multiply 2:3 by 4:
a:b = 8:12

Multiply 4:5 by 3:
b:c = 12:15

Therefore:
a:b:c = 8:12:15
Answer: 8:12:15

Quiz Summary

Attempted

Correct

Wrong

Unattempted

Final Score: 0.00

What is a Ratio?

A ratio compares two quantities expressed in the same unit.

For example, if there are 20 men and 30 women:

Men : Women = 20 : 30 = 2 : 3

What is Proportion?

Four quantities are in proportion when two ratios are equal.

a : b = c : d

Therefore:

a × d = b × c

Important Ratio Rules

Multiply or divide both terms by the same number to create an equivalent ratio.
Convert quantities into the same unit before comparing.
In direct proportion, both quantities increase or decrease together.
In inverse proportion, one quantity increases while the other decreases.

Common Mistakes

Adding ratio terms directly to actual values
Comparing quantities expressed in different units
Confusing direct and inverse proportion
Failing to equalise the common term in combined ratios
Ignoring the total number of ratio parts

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

How do I combine two ratios?

Equalise the common term by multiplying the ratios appropriately, and then combine them.

Are ratio questions asked in Data Interpretation?

Yes. Ratio concepts are frequently used in tables, pie charts, caselets and missing-data DI.

What should I learn before ratio and proportion?

Candidates should be comfortable with fractions, percentages and basic multiplication.

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