Compounded Ratio of 𝟒∶𝟗 and Duplicate of 𝟑∶𝟒 | CUET, SSC, GMAT, SAT Math Shortcut

❓ Question:

What is the ratio compounded of 𝟒∶𝟗 and the duplicate ratio of 𝟑∶𝟒?

This question tests your ability to manipulate and combine ratios using powers and multiplication — a commonly tested concept in quantitative aptitude.

🎥Watch the full video for a guided solution with tips on compounding and duplicating ratios.

The ratio compounded of 4 : 9 and the duplicate ratio of 3 : 4 is ?

📘 Where This Concept Is Used:

🇮🇳 Indian Competitive Exams:

• CUET (Quantitative Aptitude)

• SSC CGL / CHSL / GD

• CA Foundation / CMA Foundation / CSEET

• Banking: IBPS, SBI, RBI Assistant

• Railway Exams: RRB NTPC, ALP, JE

• CMAT / SNAP / TISS-NET

• Defence Exams: NDA, CDS, AFCAT

🌍 International Exams:

• SAT Math

• ACT Math

• GMAT Quant

• GRE Quantitative Reasoning

• IGCSE / IB Math

• ACCA Foundations

• CPA foundation-level assessments

✅ Pro Tip:

To compound ratios: Multiply their corresponding terms.

🔹 Duplicate of 𝟑∶𝟒 = 𝟗∶𝟏𝟔

🔹 Now compound: 𝟒∶𝟗 × 𝟗∶𝟏𝟔 = 𝟑𝟔∶𝟏𝟒𝟒

Then reduce to lowest terms.

🧪 Try Yourself:

Find the compound ratio of 𝟓∶𝟔 and the duplicate of 𝟐∶𝟑.

Post your answer in the comments!