Ratio and Proportion Questions for Bank Exams are an important part of Quantitative Aptitude for exams such as IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RRB PO, and RRB Clerk 2026. Ratio compares two quantities, while proportion shows that two ratios are equal.
These concepts are frequently used in arithmetic questions based on ages, income and expenditure, partnership, mixtures and alligation, averages, and Data Interpretation. Practice the Ratio and Proportion questions for bank exams given below with answers and detailed solutions to improve speed, accuracy, and calculation skills for Prelims and Mains.
What Is Ratio and Proportion?
Ratio is a comparison of two quantities of the same kind and is written as a:b or a/b.
Proportion states that two ratios are equal. If a:b = c:d, then ad = bc.
This cross-multiplication rule is one of the most useful concepts for solving Ratio and Proportion questions in bank exams.
Ratio and Proportion Formula for Bank Exams
| Concept | Formula / Rule |
| Ratio | a:b = a/b |
| Proportion | a:b = c:d |
| Cross Multiplication | ad = bc |
| Fourth Proportional | If a:b = c:d, then d = (b × c)/a |
| Mean Proportional | If a:x = x:b, then x = √(ab) |
For bank exams, these basic rules are commonly applied to questions involving changing ratios, distribution, partnership, ages, mixtures, income and expenditure, and arithmetic-based Data Interpretation.
Bank Exams 2026 : Ratio & Proportion Practice Quiz
Attempt the following Ratio and Proportion questions for bank exams. The practice set includes answer options and detailed explanations to help you understand the method used to solve each question.
Q1. The ratio of the incomes of A and B is 4:5, and the ratio of their expenditures is 2:3. If each saves ₹6,000 per month, what is the monthly income of A?
Explanation: Let incomes be 4x and 5x. Then expenditures are 4x−6000 and 5x−6000. So (4x−6000)/(5x−6000)=2/3. Solving gives x=3000, hence A's income = 4x = ₹12,000.
Q2. A container contains milk and water in the ratio 7:5. Nine litres of the mixture is removed and replaced with water. The new ratio becomes 7:9. How many litres of milk were initially present?
Explanation: Let total mixture be X litres. After removing 9 litres and adding 9 litres of water, [7(X−9)]/[5(X−9)+108]=7/9. Solving gives X=36. Initial milk = 7/12×36 = 21 litres.
Q3. The total weight of A, B, and C is 177 kg. The ratio of A:B is 3:4 and B:C is 5:6. What is the weight of C?
Explanation: A:B:C = 15:20:24. Total parts = 59. Since total weight is 177 kg, one part = 3 kg. Therefore C = 24×3 = 72 kg. The original total of 180 kg was corrected to 177 kg because 180 gives no listed answer.
Q4. If (a+b):(b+c):(c+a)=6:7:8 and a+b+c=14, what is c?
Explanation: Let a+b=6k, b+c=7k, c+a=8k. Adding gives 2(a+b+c)=21k, so 28=21k and k=4/3. Then a+b=8, so c=14−8=6.
Q5. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new ratio is 12:23. What is the smaller number?
Explanation: Let the numbers be 3x and 5x. Then (3x−9)/(5x−9)=12/23. Solving gives x=11, so the smaller number is 3x=33.
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Solve More QuestionsTypes of Ratio and Proportion Questions Asked in Bank Exams
Ratio and Proportion questions in bank exams are usually asked directly as arithmetic word problems or indirectly through related topics. The most common question types include:
- Income, Expenditure, and Savings: These questions involve the ratio of incomes, expenses, or savings of two or more individuals. Candidates may need to calculate the original amount after a change in savings or expenditure.
- Mixtures and Alligations: These problems involve two or more quantities mixed in a specific ratio. Questions may include removing and replacing part of a mixture or finding the ratio after adding another quantity.
- Combining Multiple Ratios: Candidates may be given ratios such as A:B and B:C and asked to determine A:B:C. Matching the common term correctly is important in such questions.
- Age and Variable Relations: These questions use ratios to compare present, past, or future ages of two or more people.
Ratio and Proportion concepts are also frequently used in partnership, averages, percentages, Data Interpretation, profit and loss, and arithmetic word problems.
How to Solve Ratio and Proportion Questions Quickly in Bank Exams?
To solve Ratio and Proportion questions quickly in bank exams, focus on cross multiplication, ratio units, fraction-percentage conversions, and regular timed practice. These methods reduce calculation time and help improve accuracy.
Use the Cross-Multiplication Trick
When two ratios are equal, use:
a:b = c:d → ad = bc
Cross multiplication is especially useful when the initial ratio changes after adding or subtracting a fixed quantity.
Master Fractional Equivalents
Learn common fraction-to-percentage conversions because Ratio and Proportion questions often combine ratios with percentages.
For example:
- 1/2 = 50%
- 1/3 = 33.33%
- 1/4 = 25%
- 1/5 = 20%
- 1/6 = 16.67%
- 1/8 = 12.5%
Knowing these values can reduce calculation time considerably.
Focus on the Unit Method
Convert a ratio into units whenever possible.
For example, if A:B = 3:5, assume:
A = 3x
B = 5x
Once the total or difference is provided, the value of x can be calculated easily.
Practice Timed Questions
Regular practice helps you identify the correct method quickly. Try solving Ratio and Proportion questions under a timer so that you can improve both speed and accuracy for bank exam Prelims and Mains.
Also Read
Ratio and Proportion Questions for Bank Exams FAQs
Q1. What are Ratio and Proportion questions in bank exams?
Ratio and Proportion questions compare quantities and test whether two ratios are equal. In bank exams, the concept is commonly used in questions based on ages, partnership, mixtures, income and expenditure, averages, and Data Interpretation.
Q2. What is the formula for Ratio and Proportion?
The basic ratio formula is a:b = a/b.
If two ratios are in proportion:
a:b = c:d
Then:
ad = bc
This is known as the cross-multiplication rule.
Q3. How many Ratio and Proportion questions are asked in bank exams?
The exact number varies by exam and shift. Candidates may get direct arithmetic questions on Ratio and Proportion, while the same concept can also be used in Data Interpretation, mixtures, partnership, ages, and other Quantitative Aptitude questions.
Q4. How can I solve Ratio and Proportion questions faster?
Use cross multiplication for changing-ratio questions, convert ratios into unit values, memorize common fraction-percentage equivalents, and practice questions under a timer. These methods help reduce lengthy calculations.
Q5. Is Ratio and Proportion important for bank exam Prelims and Mains?
Yes. Ratio and Proportion is a core arithmetic concept for both Prelims and Mains because it is used directly in word problems and indirectly in Data Interpretation, partnership, averages, mixtures, and other arithmetic topics.
Q6. Where can I practice Ratio and Proportion questions for bank exams?
You can practice the Ratio and Proportion questions with answers and explanations given in this article and then attempt full-length and sectional bank exam mock tests on PracticeMock to improve speed and accuracy.
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