Duplicate Ratio of (2𝑠 − 𝑝) : (3𝑡 − 𝑝) Equals 2𝑠 : 3𝑡 – What is the Value of 𝑝?

If you’re preparing for any competitive quantitative exam, mastering the concept of duplicate ratio can give you a major edge.

📍 Problem Statement:If 2𝑠 : 3𝑡 is the duplicate ratio of 2𝑠 − 𝑝 : 3𝑡 − 𝑝, then what is the value of 𝑝?

📹 Watch full explanation in the video below:

If 2s : 3t is the duplicate ratio of 2s – p : 3t – p then ?

🎯 Useful For These Exams

✅ Indian Exams:

• CA Foundation

• CUET (Quantitative Aptitude)

• CSEET

• CMA Foundation

• SSC CGL, CHSL

• RRB NTPC

• Banking (IBPS, SBI PO/Clerk, RBI Assistant)

• State PSC aptitude papers

🌍 International Exams:

• SAT Math

• ACT Math

• GRE Quant

• GMAT Quant

• IGCSE / GCSE Math

• Foundation-level Math Olympiads

💡 Quick Tip:

A duplicate ratio is formed by squaring the terms of a given ratio. That is, the duplicate of 𝑎 : 𝑏 is 𝑎² : 𝑏². To reverse-engineer the original ratio from a duplicate, try comparing squares and look for expressions that match accordingly.

🧪 Try Yourself:

If 2𝑠 : 3𝑡 is the duplicate ratio of 2𝑠 − 𝑝 : 3𝑡 − 𝑝, then what is the value of 𝑝?Comment your answer below!