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%

E

40.55%

Show Answer

Correct Answer :

Option A

55.55%

55.55%

Solution :

The correct answer is 55.55%.

From the given bar chart, data is provided for four schools (A, B, C, and D) where:
• The blue bar represents the total number of students, i.e., Boys + Girls.
• The orange bar represents the difference between boys and girls, i.e., Boys - Girls.

Bar Chart

To find the total number of girls in any school, we subtract the difference (Boys - Girls) from the total students (Boys + Girls):

(Boys+Girls)-(Boys-Girls)=2×Girls

Therefore, the number of girls in any school is calculated as:

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

Step 1: Calculate the number of girls in School A
From the chart for School A:
• Boys + Girls = 72
• Boys - Girls = 48

Girls in A=72-482=242=12

Step 2: Calculate the number of girls in School B
From the chart for School B:
• Boys + Girls = 60
• Boys - Girls = 28

Girls in B=60-282=322=16

Step 3: Calculate the total number of girls in School A and School B together

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

Step 4: Calculate the number of girls in School C
From the chart for School C:
• Boys + Girls = 48
• Boys - Girls = 12

Girls in C=48-122=362=18

Step 5: Calculate the required percentage
We need to find by what percentage the total number of girls in A and B together (28) is more than that of girls in C (18):

Percentage More=Girls in (A + B)-Girls in CGirls in C×100

Substituting the calculated values:

Percentage More=28-1818×100

Percentage More=1018×100=59×100=55.555...%55.55%

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

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