Value of 5px + 3qy to 10px + 4qy when p : q = 2 : 3 and x : y = 4 : 5

In this problem, we are given two ratios:

• 𝑝 : 𝑞 = 2 : 3

• 𝑥 : 𝑦 = 4 : 5

We are asked to evaluate the ratio: 5𝑝𝑥 + 3𝑞𝑦 : 10𝑝𝑥 + 4𝑞𝑦

📹 Watch full explanation in the video below:

If p : q = 2 : 3 and x : y = 4 : 5, then the value of 5px + 3qy : 10px + 4qy is ?

🎯 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:

Substitute values for variables based on given ratios to reduce expressions algebraically. This approach helps break down complicated ratios.

🧪 Try Yourself:

If 𝑝 : 𝑞 = 2 : 3 and 𝑥 : 𝑦 = 4 : 5, then what is the value of 5𝑝𝑥 + 3𝑞𝑦 : 10𝑝𝑥 + 4𝑞𝑦?

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