Compare class-wise first-class rates: Class X has 30 students with 24 first-class; Class Y has 35 students with 28 first-class. Which class has a higher percentage of first-class students?

Introduction / Context:
Comparing counts across groups of different sizes requires converting to percentages or proportions. Here, we compare first-class rates in two classes of unequal strength.

Given Data / Assumptions:

• Class X: 24 first-class out of 30.
• Class Y: 28 first-class out of 35.

Concept / Approach:
Compute each percentage as (first-class / total) * 100%. Alternatively, reduce each fraction to simplest terms or compare cross-products.

Step-by-Step Solution:

Verification / Alternative check:
Reduce ratios: 24:30 simplifies to 4:5; 28:35 simplifies to 4:5; equal proportions confirm identical percentages.

Why Other Options Are Wrong:

• Class X more / Class Y more: Both claim a difference that does not exist; both are 80%.
• None of the above: There is a correct specific choice—equality.

Common Pitfalls:
Comparing raw counts (24 vs 28) without considering class sizes. Always normalize by the total when comparing groups.

Final Answer: