Question Details

The bar shows the total number of students in four schools and it also shows the difference between boys and girls in these schools.

Total girls in A and B together is what percentage of more than that of girls in C.

Options

A

55.55%

B

24.55%

C

56.55%

D

52.55%

Show Answer

Correct Answer :

Option A

55.55%

55.55%

Solution :

First, we analyze the bar chart to find the number of girls in schools A, B, and C.
The chart provides the following values for each school:
• Blue bar represents the sum of boys and girls: Boys + Girls
• Orange bar represents the difference: Boys - Girls

To find the number of girls in any school, we can use the formula:

Girls = ( Boys + Girls ) - ( Boys - Girls ) 2

Let's calculate the number of girls for schools A, B, and C:

1. School A:
• Boys + Girls = 72 (from the blue bar for A)
• Boys - Girls = 48 (from the orange bar for A)

Girls A = 72 - 48 2 = 24 2 = 12

2. School B:
• Boys + Girls = 60 (from the blue bar for B)
• Boys - Girls = 28 (from the orange bar for B)

Girls B = 60 - 28 2 = 32 2 = 16

3. School C:
• Boys + Girls = 48 (from the blue bar for C)
• Boys - Girls = 12 (from the orange bar for C)

Girls C = 48 - 12 2 = 36 2 = 18

Next, we calculate the total number of girls in schools A and B together:

Total girls in A and B = 12 + 16 = 28

Now, we find how many more girls are in schools A and B combined than in school C (which has 18 girls):
Difference = 28 - 18 = 10

We calculate the percentage by which the combined girls of A and B exceeds the girls of C:

Percentage more = 10 18 × 100 = 5 9 × 100 55.55%

Therefore, the total girls in A and B together is 55.55% more than the girls in C.

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