Ratio and Proportion Questions for SBI Clerk 2026 Prelims are an important part of Quantitative Aptitude, with around 2–3 direct questions expected in Prelims. Ratio and proportion also support topics such as Percentage, Average, Partnership, Ages, Mixture & Allegation, and Data Interpretation. This guide covers key formulas, shortcuts, practice questions, and an interactive quiz to help improve speed and accuracy for the SBI Clerk 2026 exam.
A ratio compares two quantities of the same unit (a/b or a:b), while a proportion states that two ratios are equal (a:b = c:d). In SBI Clerk exam preparation, ratios are used to balance equations, calculate profit shares, determine age differences, and break down complex Data Interpretation sets quickly without writing long algebraic equations.
Most Expected SBI Clerk 2026 Ratio and Proportion Quiz
Practicing a targeted SBI Clerk quant ratio and proportion practice set helps build muscle memory for recurring exam question patterns. Below are five exam-pattern solved questions covering income-expenditure, currency coins, age ratios, mixtures, and partnerships. Work through each problem step-by-step to understand the most efficient solution methodology.
Q1. The ratio of incomes of A and B is 5:4, and the ratio of their expenditures is 3:2. If each saves ₹2,000, find the income of A.
Explanation: Let incomes be 5x and 4x, expenditures 3y and 2y. From 5x−2000=3y and 4x−2000=2y, solve to get x=1000. Therefore A's income = ₹5,000.
Q2. A bag contains ₹1, 50 paise, and 25 paise coins in the ratio 3:2:4. If the total value is ₹180, find the number of 25 paise coins.
Explanation: Let coin counts be 3x, 2x and 4x. Their rupee values are 3x, x and x. So 5x=180, giving x=36. Number of 25 paise coins = 4x = 144.
Q3. Present ages of A and B are in the ratio 7:2. Four years ago, the ratio of their ages was 4:1. Find A's present age.
Explanation: Let present ages be 7x and 2x. Then (7x−4)/(2x−4)=4. Solving gives x=12, so A's present age is 84 years.
Q4. A vessel contains milk and water in the ratio 3:1. If 8 litres of the mixture are removed and replaced with 8 litres of water, the ratio becomes 1:1. Find the initial quantity.
Explanation: Let the mixture be 4x litres. Removing 8 litres removes 6 litres milk and 2 litres water. After adding 8 litres water: milk=3x−6, water=x+6. Equating gives x=6, so initial quantity=24 litres.
Q5. A and B enter a partnership with capitals in the ratio 5:6. A withdraws after 8 months. If profits are shared in the ratio 5:9, for how many months was B's capital invested?
Explanation: Profit ∝ capital×time. So (5×8):(6×t)=5:9. Solving gives t=12 months.
Q6. If A:B = 3:4 and B:C = 8:9, what is A:B:C?
Explanation: Equalize B by multiplying 3:4 by 2 to get 6:8. Combine with 8:9 to get 6:8:9.
Q7. The ratio of a person's income to expenditure is 11:10. If the person saves ₹9,000 per year, find the monthly income.
Explanation: Savings = 1 part = ₹9,000 per year. Annual income = 11×9000 = ₹99,000. Monthly income = ₹8,250.
Q8. If 8 workers complete a task in 15 days, how many workers are required to complete the same task in 10 days?
Explanation: For the same work, workers×days is constant. 8×15 = M×10, so M=12.
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Solve More QuestionsOverview of SBI Clerk Ratio and Proportion Questions 2026
- High Exam Weightage: Accounts for 2 to 3 direct questions in Prelims and powers over 40% of the Quantitative Aptitude section through Data Interpretation, Mixtures, and Partnerships.
- Speed-Building Shortcuts: Master unit-balancing, cross-multiplication, and option-multiple elimination to solve word problems in under 45 seconds.
- Verified Exam Pattern: Tailored to the official SBI Clerk 2026 syllabus (35 Qs in 20 mins for Prelims; 50 Qs in 45 mins for Mains).
- Interactive Practice & PDF: Features a 5-question solved practice set, an interactive 3-question mini-quiz, and offline PDF download guidelines.
SBI Clerk Ratio and Proportion Syllabus and Weightage 2026
Understanding the SBI Clerk ratio and proportion syllabus and weightage is essential for structuring an efficient Quantitative Aptitude study schedule. In the SBI Clerk Prelims exam, Quantitative Aptitude carries 35 marks across 35 questions with a strict 20-minute sectional limit. In the Mains exam, Quantitative Aptitude expands to 50 questions for 50 marks, where ratio concepts appear across advanced arithmetic and Data Interpretation.
Analyzing recent exam trends provides clear visibility into how many direct and indirect ratio questions appear in each phase. Review the detailed breakdown below to align your daily practice with actual exam requirements.
| Exam Phase | Total Quant Questions | Direct Ratio Questions | Indirect Application (DI, Ages, Mixture, Partnership) |
| SBI Clerk Prelims | 35 Questions (20 Mins) | 2 to 3 Questions | 8 to 12 Questions |
| SBI Clerk Mains | 50 Questions (45 Mins) | 1 to 2 Questions | 15 to 20 Questions |
Because ratio methods are applied across over 40% of the Quantitative Aptitude paper, mastering quick unit-balancing techniques saves critical seconds during the exam. Candidates who eliminate variable-heavy x-methods in favor of direct ratio units consistently score higher in both Prelims and Mains.
Ratio and Proportion Formulas and Shortcut Tricks for Bank Exams
Learning core bank exam ratio and proportion formulas enables candidates to solve multi-step arithmetic problems in under 45 seconds. Instead of writing lengthy linear equations, top scorers rely on shortcut rules such as the cross-multiplication method, ratio balancing, and option multiples. Memorizing these fundamental properties ensures higher calculation speed and accuracy under exam pressure.
- Mean Proportion and Third Proportion Formulas:
- Mean Proportional between a and b = Square Root of (a * b)
- Third Proportional of a and b = (b^2) / a
- Fourth Proportional: If a : b = c : d, then d = (b * c) / a (Product of Extremes = Product of Means: a * d = b * c).
- Combining Ratios Quickly: If A : B = x : y and B : C = m : n, then A : B : C = (x * m) : (y * m) : (y * n).
- Partnership Ratio Distribution: Profit Ratio = (Investment 1 * Time 1) : (Investment 2 * Time 2).
- Concept of Compound Ratio and Duplicate Ratio: Compound ratio of a:b and c:d is (a * c) : (b * d); Duplicate ratio of a:b is (a^2) : (b^2).
Applying these shortcut formulas eliminates confusion when handling complex word problems in the exam. Practice using ratio units rather than variables to convert raw ratios into real values instantly.
How to Solve Ratio and Proportion Questions Quickly in SBI Clerk Prelims
How to solve ratio and proportion questions quickly in SBI Clerk Prelims comes down to using smart estimation, unit-balancing, and option elimination. In a 20-minute sectional sprint, spending more than 60 seconds on a single arithmetic word problem can compromise your total score. Follow this strategic preparation roadmap to maximize speed and maintain 100% accuracy.
- Phase 1: Unitary Method & Option Multiples: Verify if the question asks for a single person’s share (e.g., B’s share in a 3:7 ratio) and test option multiples before performing full calculations.
- Phase 2: Cross-Multiplication Method: Use cross-multiplication for age transitions and income-expenditure shifts to avoid quadratic or dual-equation setups.
- Phase 3: Download SBI Clerk Ratio and Proportion Questions PDF: Practice offline using past memory-based papers and full-length online test series under timed 20-minute sectional constraints.
Adopting these speed-building strategies guarantees that you maximize your attempts within the strict 20-minute sectional timer. Remember that accuracy is equally important due to the 0.25 negative marking penalty in SBI Clerk exams.
| Also Read | |
| SBI Clerk Notification | SBI Clerk Exam Pattern |
| SBI Clerk Syllabus | SBI Clerk Salary |
| SBI Clerk Cut Off | SBI Clerk Previous Year Question Paper |
SBI Clerk Ratio and Proportion Questions 2026 Frequently Asked Questions
How many ratio and proportion questions appear in SBI Clerk Prelims?
SBI Clerk Prelims typically features 2 to 3 direct ratio and proportion questions. However, ratio concepts are indirectly tested across 8 to 12 additional questions in Data Interpretation, Mixtures, Ages, and Partnership word problems.
What is the difference between ratio and proportion in bank exams?
A ratio compares two quantities of the same kind by division (a:b). A proportion is an equation showing that two ratios are equal (a:b = c:d), used to solve missing value problems in banking exams.
How can I download SBI Clerk ratio and proportion questions PDF with solutions?
You can download free SBI Clerk ratio and proportion questions PDF sets from online banking preparation platforms. Look for memory-based past papers and practice sets featuring detailed step-by-step solutions and shortcut tricks.
Are ratio and proportion concepts used in SBI Clerk Data Interpretation?
Yes, ratio and proportion concepts are heavily used in Data Interpretation sets like pie charts, bar graphs, and tables. Questions frequently ask for the ratio of values, percentage changes, or fractional distribution between categories.
Is there negative marking for wrong answers in SBI Clerk 2026?
Yes, SBI Clerk enforces a negative marking penalty of 0.25 marks (1/4th) for every incorrect answer in both Prelims and Mains exams. Candidates should maintain high accuracy while applying shortcut ratio tricks.
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