Directions (1 - 5): study the following pie chart and bar diagram and answer the following questions.
Percentage-wise Distribution of students in 6 Different Schools. Total number of students = 6000.
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Number of Boys in Each School Out of 6000 Student
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Examveda
Examveda

The number of girls school A is approximately what percentage of the total number of students in school B?

A. 55%

B. 50%

C. 35%

D. 45%

E. 40%

Answer: Option E

Solution(By Examveda Team)

$$\eqalign{ & \text{Number of students in:} \cr & \text{A → } \frac{12}{100}\times6000 = 720 \cr & \text{B → } \frac{9}{100}\times6000 = 540 \cr & \text{C → } \frac{26}{100}\times6000 = 1560 \cr & \text{D → } \frac{18}{100}\times6000 = 1080 \cr & \text{E → } \frac{29}{100}\times6000 = 1740 \cr & \text{F → } \frac{6}{100}\times6000 = 360 \cr} $$

Number of boys in:
A → 500
B → 400
C → 900
D → 600
E → 1200
F → 100

Number of girls in:
A → 720 - 500 = 220
B → 540 - 400 = 140
C → 1560 - 900 = 660
D → 1080 - 600 = 480
E → 1740 - 1200 = 540
F → 360 - 100 = 260

Let (number of girls in A) be $$x$$% of number of students in B.
Then,
$$\eqalign{ & 220 = \frac{x}{100}\times540 \cr & \Rightarrow x = \frac{220\times100}{540} \cr & \Rightarrow x = \frac{1100}{27} \cr & \Rightarrow x = 40.7 \cr & \Rightarrow x \approx 40\% \cr} $$

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