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Compound Ratio of 𝟒∶𝟓, 𝟗∶𝟕, 𝟑∶𝟒³ & 𝟐∶𝟑³ | Shortcut for CUET, SSC, GMAT & SAT Math

  • Maths Platter
  • Jul 2
  • 1 min read

❓ Question:

What is the ratio compounded of 𝟒∶𝟓, 𝟗∶𝟕, the triplicate of 𝟑∶𝟒, and the triplicate of 𝟐∶𝟑?

This is a typical quantitative aptitude question where we combine several types of ratios — often seen in competitive exams and entrance tests across India and abroad.


🎥 Watch the step-by-step breakdown of each ratio and how to efficiently compound them.

The ratio compounded of 4:5, 9:7, the triplicate ratio of 3:4, and the triplicate ratio of 2:3 is ?

📘 Where This Concept Is Used:

🇮🇳 Indian Competitive Exams:

  • CUET Quantitative Aptitude

  • SSC CGL, CHSL, MTS

  • CA Foundation, CSEET, CMA Foundation

  • IBPS PO/Clerk, SBI PO, RRB

  • CMAT, SNAP, NMAT

  • NDA, CDS, AFCAT

🌍 International Exams:

  • SAT Math

  • GMAT Quant

  • ACT Math

  • GRE Quant

  • IGCSE Extended Math

  • IB Math (Applications & Interpretation)

  • ACCA & CPA Foundation Math


Pro Tip:

When faced with triplicate ratios, raise both antecedent and consequent to the power of 3 before compounding. Always reduce the final ratio to simplest terms to avoid careless errors.


🧪 Try Yourself:

Find the compounded ratio of 𝟑∶𝟒, the duplicate of 𝟐∶𝟓, and the triplicate of 𝟓∶𝟕.

Share your answer in the comments!

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