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1. Study the following pie-charts carefully and answer the questions that follow:
Percentage of Students Enrolled in Different Streams in a College.
Total Number of Students = 3500.

Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students.
Total Number of Girls = 1500.

What is the total number of boys enrolled in Management and IT together?

A. 1050

B. 810

C. 1120

D. 980

Solution:

Number of students enrolled in various streams:

\begin{aligned} IT → \frac{20}{100} \times 3500 = 700 \\ Arts → \frac{30}{100} \times 3500 = 1050 \\ Science → \frac{22}{100} \times 3500 = 770 \\ Commerce → \frac{12}{100} \times 3500 = 420 \\ Management → \frac{16}{100} \times 3500 = 560 \end{aligned}

Number of girls enrolled in various streams:

\begin{aligned} IT → \frac{18}{100} \times 1500 = 270 \\ Arts → \frac{38}{100} \times 1500 = 570 \\ Science → \frac{11}{100} \times 1500 = 165 \\ Commerce → \frac{21}{100} \times 1500 = 315 \\ Management → \frac{12}{100} \times 1500 = 180 \end{aligned}

Total number of boys enrolled in Management and IT together
= (560 - 180) + (700 - 270)
= 380 + 430
= 810

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