Question
Directions (1 - 5): Study the following pie-charts carefully and answer the questions that follow:
What is the ratio of the number of girls enrolled in Arts to the number of boys enrolled in Science?
What is the ratio of the number of girls enrolled in Arts to the number of boys enrolled in Science?
Answer: Option C
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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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
Was this answer helpful ?
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