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.
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.
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?
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.
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.
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
Quiz Completed!
Improve your Quantitative Aptitude preparation by solving more exam-level ratio and proportion questions.
Solve More QuestionsWhat 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
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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