Arun Sharma Test: Pie Chart- 1 - UPSC MCQ

Given:

We need to find the ratio between the number of students studying at post-graduate and graduate levels from institute S.

Step-by-Step Solution

1. Graduate Level Students in Institute S:

• Total number of graduate level students = 27,300
• Percentage of graduate students in institute S = 14%
• Number of graduate students in institute S = 27,300 × (14/100) = 3,822

2. Post-Graduate Level Students in Institute S:

• Total number of post-graduate level students = 24,700
• Percentage of post-graduate students in institute S = 21%
• Number of post-graduate students in institute S = 24,700 × (21/100) = 5,187

3. Calculate the Ratio:

The ratio of post-graduate to graduate students in institute S is calculated as:

5,187 : 3,822

Simplifying this ratio by dividing both numbers by their greatest common divisor, we get:

5,187 : 3,822 = 19 : 14

The correct answer is: d) 19 : 14