Ratio & Proportion
View Questions of Ratio & Proportion
Quantitative Aptitude - Ratio & Proportion
Use ratios for part-to-part and part-to-whole comparisons and proportions.
1. Ratios
Ratio a:b = a/b. Compare quantities directly.
2. Proportions
a:b = c:d implies ad = bc. Solve for unknowns quickly.
3. Applications
- Sharing amounts in given ratios: Add parts and divide.
- Converting ratio to percent: a:b = (a/(a+b)) × 100.
4. Quick Tips
- Simplify both terms before solving proportion.
- Use cross-product to verify or find missing term.
5. Common Errors
- Mixing ratio and percent without conversion.
- Forgetting to simplify ratio before using.
6. Revision Checklist
- Be fluent with a:b, b:c split across multiple groups.
- Practice reverse problems (given whole and part find ratio).
Summary: Ratios compare quantities, proportions set equality; simplify early, use cross-multiplication, and convert to percent or share problems as needed.
Topics
- Number System
- H.C.F. & L.C.M.
- Decimal Fractions
- Simplification
- Square Roots & Cube Roots
- Average
- Problems on Numbers
- Problems on Ages
- Surds & Indices
- Percentage
- Operations on Numbers
- Profit & Loss
- Ratio & Proportion
- Partnership
- Chain Rule
- Time & Work
- Pipes & Cistern
- Time & Distance
- Problems on Trains
- Boats & Streams
- Alligation or Mixture
- Simple Interest
- Compound Interest
- Logarithms
- Area
- Volume & Surface Areas
- Mensuration
- Races & Games of Skill
- Calendar
- Clocks
- Stocks & Shares
- Permutations & Combinations
- Probability
- True Discount
- Banker’s Discount
- Heights & Distances
- Odd Man Out & Series
- Algebra
- Divisibility Rules & Remainder Theorem
- Factorials & Power Cycles
- Progressions (A.P., G.P., H.P.)
- Work & Wages
- Set Theory / Venn Diagrams
- Geometry (Lines, Angles, Triangles, Polygons)
- Coordinate Geometry
- Data Interpretation
- Trigonometry
- Statistics (Mean, Median, Mode)
- Arithmetic Operations
- Quadratic Equations