Study the following pie-charts, carefully and answer the questions given below:

Percentage of Students Enrolled in Different Streams In a College Total Number of students = 3500

2322021130_pie chart 13.JPG

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

23220214_pie chart 13b.JPG

 

 

 

 

 

1)

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

Explanation:

 

Number of students enrolled in various streams:

IT → $\left(\frac{20}{100}\times3500\right)$ = 700

Arts → $\left(\frac{30}{100}\times3500\right)$ = 1050

Science → $\left(\frac{22}{100}\times3500\right)$ = 770

Commerce → $\left(\frac{12}{100}\times3500\right)$

= 420

Management → $\left(\frac{16}{100}\times3500\right)$

= 560

Number of girls enrolled in various streams :

IT → $\left(\frac{18}{100}\times1500\right)$ = 270

Arts → $\left(\frac{38}{100}\times1500\right)$ = 570

Science → $\left(\frac{11}{100}\times1500\right)$ = 165

Commerce → $\left(\frac{21}{100}\times1500\right)$ 

= 315

Management → $\left(\frac{12}{100}\times1500\right)$

=180

Number of Management students already enrolled = 560.

New required number = $\left(560 + \left(\frac{20}{100}\times165\right)\right)$

= 560+33 = 593