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Quantitative Aptitude / Arithmetic

Ratio & Proportion Concepts

High (2-3 direct questions, used across partnership & ages)

Concept Overview

Ratio and proportion represent comparison of quantities. Mastering ratio scaling, balancing unequal ratios, and partnership distribution rules allows solving complex mixture and age problems in minimal steps.

Exam Relevance

Core topic for SSC, Railways ALP/Group D, UP/Delhi Police SI, and Banking exams.

Key Formulas & Shortcuts

  • If A:B = x:y and B:C = p:q, balanced ratio A:B:C is found by scaling B to LCM(y, p).
  • Partnership Profit Share = Investment Amount * Time Period
  • Mean Proportional of a and b = sqrt(a * b)
  • Third Proportional of a and b = b^2 / a

Common Weaknesses & Mistakes

1

Assuming absolute values: Treating ratio coefficients directly as physical quantities without finding the scaling multiplier (x).

2

Improper balancing: Combining A:B and B:C without bringing B to a common value first.

3

Failing to account for time periods in partnership share calculations.

Ready to check your subject readiness?

This will pre-configure your **Quantitative Aptitude Diagnostic Test**. You will bypass selection screens and land directly on the start screen to begin a 40-question subject-level diagnostic test.

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