Ratio and Proportion
Concept · Concept Authority

Ratio and Proportion

Revise Ratio and Proportion with verified PYQs, key formulas, common mistakes, exam tips and related solved questions from the SRO knowledge graph.

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Detailed Study Notes

Ratio and Proportion – Verified PYQ Authority Guide

Ratio and Proportion is treated here as a focused concept hub. The aim is to show exactly how this concept appears across verified PYQs, which formulas or relationships recur in the solved corpus, and which nearby concepts deserve revision next. Every factual learning cue below is drawn from the existing verified, published and approved English PYQ corpus or from its Knowledge Graph relationships; the hub does not invent unsupported technical claims.

PYQ evidence snapshot

65 verified PYQs are currently mapped to this Concept hub. The represented years include 2025. Exam coverage currently includes RRB NTPC Under Graduate Level. Subject context includes Quantitative Aptitude. These values come from live mappings and can expand automatically when new verified PYQs are added.

Most useful verified PYQs to solve first

Start with the actual questions rather than memorising a generic note. The links below are ranked from the mapped corpus using repeat history and editorial quality, while the complete explanation stays on the individual question page.

  1. A mixture contains milk and water in the ratio 5:3. If 48 liters of water is added, the ratio becomes 5:5. Find the initial quantity of milk.
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 120 liters.
  2. Three positive numbers are in the ratio 3:5:7. If the sum of their squares is 2075, then the middle number is:
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 25.
  3. Three bags A, B, and C contain only red and blue marbles. In Bag A, the ratio of red to blue marbles is 2: 3. In Bag B, the ratio of red…
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches Bag B.
  4. Suppose the ratio of income to expenditure is 8: 5. If income rises by 40% and expenditure falls by 10%, and the initial expenditure is ₹10,000, what is the amount (in ₹)…
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 13,400.
  5. Three numbers are in the ratio 3: 2: 11, and their LCM is 3564. Their HCF is:
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 54.
  6. A, B and C are three batsmen. The ratio of runs scored by them in a certain match was A: B = 15: 17 and B: C = 14: 19. At the…
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 420.
  7. Two positive numbers are in the ratio 2:3. If the product of their LCM and HCF is 294, then find the sum of the two numbers.
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 35.
  8. Three numbers are in the ratio 3: 7: 2, and their LCM is 5376. Their HCF is:
    RRB NTPC Under Graduate Level · 2025
    Use the standard Ratio and Proportion method and simplify; the result matches 128.

Formula & key-relationship bank from verified solutions

  • a : b = c : d ⇒ ad = bc

Use these as revision triggers and open the linked PYQ before applying a formula numerically; variable definitions and assumptions belong to the exact solved question.

Core ideas repeatedly reinforced by the solved corpus

  • Use the standard Ratio and Proportion method and simplify; the result matches 120 liters.
  • Use the standard Ratio and Proportion method and simplify; the result matches 25.
  • Use the standard Ratio and Proportion method and simplify; the result matches Bag B.
  • Use the standard Ratio and Proportion method and simplify; the result matches 13,400.
  • Use the standard Ratio and Proportion method and simplify; the result matches 54.

Exam tips already validated in SRO solutions

  • Identify the Ratio and Proportion relationship before calculation and keep units/bases consistent.

Common mistakes to avoid

  • Using a shortcut without checking its conditions or using the wrong base/unit.

Topic and concept coverage

Mapped topic labels include Ratio and Proportion. The concept trail includes Ratio and Proportion. Use these labels as a revision map: move from the broad area to the narrow concept, solve a verified PYQ, inspect the detailed reasoning, and then attempt another question from the same cluster.

Knowledge Graph navigation

Continue with Proportion, Ratio and Proportion, Arithmetic, Quantitative Aptitude. These are canonical SRO entity links based on the Knowledge Graph and shared question mappings, not keyword-stuffed tag pages.

How to revise this authority page efficiently

  1. Solve before reading: answer a mapped PYQ first.
  2. Read the exact explanation: verify the correct principle, formula, distractor logic and common mistake on that question page.
  3. Move one level in the graph: use the closest concept/sub-topic/topic link rather than opening unrelated content.
  4. Reattempt: solve another verified PYQ from this hub and check whether the same error repeats.

Quality scope: this page is automatically maintained from SRO’s verified mapped corpus. It enriches one canonical authority URL instead of generating multiple near-duplicate pages for keyword variants. Manual authority articles are never overwritten by the automated engine.

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Ratio and Proportion · MCQs & PYQs

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