Examveda

# What is the ratio of the number of girls enrolled in Arts to the number of boys enrolled in Science?

A. 14 : 23

B. 2 : 3

C. 114 : 121

D. 53 : 65

E. None of these

### 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 girls enrolled in Arts) : (Number of boys enrolled in Science)
= 570 : (770 - 165)
= 570 : 605
= 114 : 121
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