Directions (1 - 5): 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.
If 20% of the girls enrolled in science change their stream to Management, then what will be the new number of Management students altogether?
A. 593
B. 733
C. 453
D. 1003
E. None of these
Answer: Option A
Solution(By Examveda Team)
Number of students enrolled in various streams:$$\eqalign{ & \text{IT → } \frac{20}{100}\times3500 = 700 \cr & \text{Arts → } \frac{30}{100}\times3500 = 1050 \cr & \text{Science → } \frac{22}{100}\times3500 = 770 \cr & \text{Commerce → } \frac{12}{100}\times3500 = 420 \cr & \text{Management → } \frac{16}{100}\times3500 = 560 \cr} $$
Number of girls enrolled in various streams:
$$\eqalign{ & \text{IT → } \frac{18}{100}\times1500 = 270 \cr & \text{Arts → } \frac{38}{100}\times1500 = 570 \cr & \text{Science → } \frac{11}{100}\times1500 = 165 \cr & \text{Commerce → } \frac{21}{100}\times1500 = 315 \cr & \text{Management → } \frac{12}{100}\times1500 = 180 \cr} $$
Number of Management students already enrolled = 560
New required number
$$\eqalign{ & = 560 + \left(\frac{20}{100}\times165\right) \cr & = 560+33 \cr & = 593 \cr} $$
This Question Belongs to Data Interpretation >> Pie Chart
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