Question

The diploma student from state A is approximate what percent of diploma students from state B ?

• A. 96
• B. 86
• C. 76
• D. 54.50

Hint:

To simplify long calculations, use approximations:
\[ \frac{8920}{10380} \approx \frac{89}{104} \approx 0.86 = 86\% \]
This helps save valuable time during the exam.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
To express one quantity as a percentage of another, we first calculate the absolute values of both quantities and then use the percentage formula.
Key Formula or Approach:
- Number of students in a category = \(\text{Percentage} \times \text{Total Population}\)
- Required Percentage = \(\frac{\text{Value}_A}{\text{Value}_B} \times 100\)

Step 2: Detailed Explanation:
Let us calculate the absolute number of diploma students for both states:
- For State A:
- Total population, \(N_A = 55750\)
- Percentage of diploma students = \(16\%\)
\[ \text{Diploma students in State A} = 55750 \times 0.16 = 8920 \]
- For State B:
- Total population, \(N_B = 86500\)
- Percentage of diploma students = \(12\%\)
\[ \text{Diploma students in State B} = 86500 \times 0.12 = 10380 \]
- Calculating the Percentage Relationship:
We need to find what percent 8920 is of 10380:
\[ \text{Percentage} = \frac{8920}{10380} \times 100 \approx 0.8593 \times 100 = 85.93\% \approx 86\% \]

Step 3: Final Answer:
The diploma students of State A are approximately 86% of those in State B (Option B).