If 8% of x = 4% of y, then 20% of x is?
A. 10% of y
B. 16% of y
C. 80% of y
D. 40% of y

Percentage Relationships Made Simple: 8% of x = 4% of y

Introduction

Percentages often show up in math problems to test logical reasoning and basic algebra skills. One common type involves comparing portions of two different variables. In this blog, we’ll break down a classic question:

If 8% of x = 4% of y, then what is 20% of x?

Let’s walk through it step by step with clarity.

Step-by-Step Breakdown

We are given:

                            8% of x=4% of y 

This can be written algebraically as:

                             0.08x=0.04y         

To find the relationship between x and y, divide both sides by 0.08:

                               x=0.04 / 0.08y          =   0.5y       

                                                  x = 0.5y

So:

x=0.5y                                               x = 0.5y

Now, Find 20% of x

We now want to calculate:

                                    20% of x   =  0.2x

Substitute x = 0.5y:

                               0.2×0.5y    =   0.1y         =10% of y            

✅ Correct Answer: A. 10% of y

Why This Is Useful

Understanding percentage relationships like this helps with:

• Solving aptitude tests quickly
• Strengthening algebra foundations
• Making sense of ratios in real-life scenarios (e.g., finance, data analysis)

Conclusion

When given 8% of x = 4% of y, it means that x is half of y. Therefore, 20% of x becomes 10% of y. It’s all about breaking the question down into manageable algebraic steps.

Next time you’re hit with a percentage riddle, remember to convert to decimals and isolate your variable!

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