How to Find the Compounded Ratio of 2:3, 9:4, 5:6, and 8:10

Compounded Ratios Made Easy – Step-by-Step Guide

Compound ratios are commonly tested in competitive exams where you're asked to combine two or more ratios. Let’s break it down with this example.

🧮 Question:

What is the compound ratio of

2 : 3,

9 : 4,

5 : 6, and

8 : 10 ?

📌 Concept Refresher:

To compound multiple ratios, multiply all the antecedents (first terms) and all the consequents (second terms) together:

Compound Ratio = (2×9×5×8):(3×4×6×10)

🔍 Step-by-Step Calculation:

• Numerator (Antecedent): 2 × 9 × 5 × 8 = 720

• Denominator (Consequent): 3 × 4 × 6 × 10 = 720

So, Compound Ratio=720:720=1:1​

✅ Final Answer: 1 : 1

🎥 Watch this solved step-by-step with explanation and exam tips!

The ratio compounded of 2 : 3, 9 : 4, 5 : 6 and 8 : 10 is ?

📘 Where is this question useful?

🔹 Indian Exams:

• CUET (Quantitative Aptitude)

• CA Foundation

• CMA Foundation

• SSC (CGL, CHSL, GD)

• CMAT

• Bank PO/Clerk

• RRB NTPC

• NDA/CDS

• State PSCs

🔹 International Exams:

• SAT Math

• GMAT Quant

• GRE Quantitative

• ACT Math

• College placement tests (Singapore, UAE, etc.)

💡 Quick Tip:

Always multiply all numerators and all denominators separately. Simplify at the end. Don’t reduce individual ratios before compounding unless instructed.

🧪 Try Yourself:Find the compound ratio of 3:5, 5:2, and 4:7.

👇 Post your answer in the comments or try it in the video!