Question:

How many students from Institute B study Arts and Commerce? (Total Arts = 3800, Total Commerce = 4200)

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When working with multiple pie charts, be careful to use the correct total for each calculation. Calculate the number for each category separately and then perform the final operation (addition, in this case).
Updated On: Oct 18, 2025
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The Correct Option is C

Solution and Explanation

We need to calculate the number of students from Institute B in both Arts and Commerce streams and then add them.
Arts Students from Institute B: From the Arts pie chart, the percentage for Institute B is 8%. Total Arts students = 3800.
Number of Arts students in B = 8% of 3800 = \( \frac{8}{100} \times 3800 = 8 \times 38 = 304 \).
Commerce Students from Institute B:
From the Commerce pie chart, the percentage for Institute B is 17%. Total Commerce students = 4200.
Number of Commerce students in B = 17% of 4200 = \( \frac{17}{100} \times 4200 = 17 \times 42 = 714 \).
Total Students from Institute B: Total = Arts students + Commerce students = \( 304 + 714 = 1018 \). The total number of students from Institute B is 1018.
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