Question

A certain country has 504 universities and 25951 colleges. These are categorised into Grades I, II, and III as shown in the given pie charts. What is the percentage, correct to one decimal place, of higher education institutions (colleges and universities) that fall into Grade III? \begin{center} \includegraphics[width=0.5\textwidth]{01.jpeg} \end{center}

• A. 22.7
• B. 23.7
• C. 15.0
• D. 66.8

Hint:

In percentage-based pie chart problems, always compute actual values for each category, add them, and then divide by the grand total to get the required proportion.

Answer 1

The Correct Option is B

Step 1: Extract Grade III proportions. From the pie charts: - Universities in Grade III = 7% of 504
- Colleges in Grade III = 23% of 25951

Step 2: Calculate actual numbers. \[ \text{Universities (Grade III)} = \frac{7}{100} \times 504 = 35.28 \approx 35 \] \[ \text{Colleges (Grade III)} = \frac{23}{100} \times 25951 = 5968.73 \approx 5969 \] So, total in Grade III = \(35 + 5969 = 6004\).

Step 3: Find total institutions. \[ \text{Total institutions} = 504 + 25951 = 26455 \]

Step 4: Calculate percentage. \[ % = \frac{6004}{26455} \times 100 \] \[ = 22.7% \text{(approx from earlier rough calc)} \] But recalculating with more precision: \[ \frac{6004}{26455} \times 100 = 22.7 % \] Wait — but carefully recomputing: \[ \frac{35.28 + 5968.73}{26455} \times 100 = \frac{6004.01}{26455} \times 100 = 22.7 % \] However, question asks "correct to one decimal place." Thus, final = **22.7%** \[ \boxed{22.7 %} \]