ratio and proportion questions for ibps po
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Ratio and Proportion Questions are the fundamental backbone of Quantitative Aptitude for IBPS PO 2026. Rather than operating in isolation, it forms the core logic for Data Interpretation, Partnerships, Mixtures, and Averages across Prelims and Mains. This targeted Ratio & Proportion Quiz for IBPS PO 2026 is built to mirror the actual exam standard. Work through these curated questions, assess your current readiness, and dive into the step-by-step solutions to refine your problem-solving strategy.

IBPS PO 2026: Ratio & Proportion Practice Quiz

Attempt the following Ratio & Proportion practice quiz based on the latest IBPS PO exam pattern and trends:

Ratio and Proportion Practice QuizScore: 0.00
Directions (Q1–Q5)Choose the correct option. Each correct response carries +2 marks and each incorrect response carries −0.5 marks.

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?

Correct Answer: A) ₹12,000
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?

Correct Answer: A) 21 litres
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?

Correct Answer: C) 72 kg
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?

Correct Answer: A) 6
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?

Correct Answer: B) 33
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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Key Types of Ratio & Proportion Questions Asked in IBPS PO

Understanding the exact conceptual formats helps you tackle Ratio & Proportion questions with higher confidence:

  1. Income, Expenditure, and Savings: Questions where two variables change dynamically while maintaining constant or changing differences.
  2. Mixtures and Alligations: Problems involving removing and replacing liquid mixtures in defined ratios.
  3. Combining Multiple Ratios: Questions requiring candidates to merge individual ratios (e.g., $A:B$ and $B:C$) into a single continuous ratio ($A:B:C$).
  4. Age and Variable Relations: Word problems using ratio constraints set across past, present, and future timelines.

Smart Tips to Master Ratio & Proportion for IBPS PO 2026

Mastering a few smart Ratio & Proportion shortcuts can help you solve IBPS PO 2026 questions faster, improve accuracy, and save valuable time in the Quantitative Aptitude section.

  • Use the Cross-Multiplication Trick: For questions involving initial ratios, constant changes, and final ratios, use direct cross-multiplication instead of forming long linear equations to save time.
  • Master Fractional Equivalents: Convert percentages directly into simple ratios (e.g., $16.66\% = 1/6$) to speed up calculations in word problems and Data Interpretation sets.
  • Focus on Unit Method: Assign real values to “ratio units” (e.g., 1 part = $X$ units). This simplifies complex multi-variable arithmetic problems significantly.
  • Practice Daily Mock Tests: Regular practice under timed conditions builds sectional speed and eliminates calculation errors.
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Frequently Asked Questions (FAQs)

Q1. How many questions on Ratio & Proportion appear in the IBPS PO Prelims exam?

Directly, you can expect 1 to 3 word problems in Prelims. However, Ratio & Proportion concepts are essential for solving 10 to 15 Data Interpretation questions.

Q2. Is Ratio and Proportion important for the IBPS PO Mains exam?

Yes. In IBPS PO Mains, advanced arithmetic concept-based Data Interpretation (like Caselets and Missing DI) relies heavily on complex ratio manipulations.

Q3. What is the shortcut to combine two ratios like $A: B$ and $B: C$?

Multiply the terms of the first ratio by the first term of the second ratio, and multiply the terms of the second ratio by the second term of the first ratio to make the common variable equal.

Q4. Can I solve Ratio and Proportion questions without writing long equations?

Yes, by using the Unit Method or ratio balancing techniques, most standard IBPS PO Prelims questions can be solved mentally or with minimal rough work.

Q5. Are formulas required to solve Ratio and Proportion problems?

No complex formulas are needed. A strong grasp of fundamental concepts—such as mean proportional, third/fourth proportional, and ratio balancing—is all that is required.

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