Study the pie chart given below and answer the following questions. Pie charts shows the percentage distribution of total students in five different schools (A, B, C, D and E) and percentage distribution of total boys in these five schools in year 2019.

Out of total boys in school A, 2$\frac{3}{11}$% failed the exam. If out of total students in class A, 7% failed the exam, then girls in school A who failed the exam are what percent of the total girls in school C?

The correct option is 12.5%.

Let's analyze the data provided in the pie charts:

1. Data from Pie Charts:

Total Students across all five schools = 5000
Total Boys across all five schools = 2800

2. Calculate students, boys, and girls in School A:

Percentage of total students in School A = 24%

$\text{Total students in School A}=24\%\text{ of }5000=\frac{24}{100}\times 5000=1200$

Percentage of total boys in School A = 22%

$\text{Total boys in School A}=22\%\text{ of }2800=\frac{22}{100}\times 2800=616$

3. Calculate total failed students and failed boys in School A:

Given that 7% of total students in School A failed the exam:

$\text{Total failed students in School A}=7\%\text{ of }1200=\frac{7}{100}\times 1200=84$

Given that 2$\frac{3}{11}$% = $\frac{25}{11}$% of total boys in School A failed the exam:

$\text{Failed boys in School A}=\frac{25}{11}\%\text{ of }616=\frac{25}{11\times 100}\times 616=\frac{1}{44}\times 616=14$

4. Calculate failed girls in School A:

$\text{Failed girls in School A}=\text{Total failed students}-\text{Failed boys}=84-14=70$

5. Calculate total girls in School C:

Percentage of total students in School C = 28%

$\text{Total students in School C}=28\%\text{ of }5000=\frac{28}{100}\times 5000=1400$

Percentage of total boys in School C = 30%

$\text{Total girls in School C}=\text{Total students in School C}-\text{Total boys in School C}=1400-840=560$

6. Required Percentage Calculation:

We need to find what percent the failed girls in School A (70) are of the total girls in School C (560):

$\text{Required Percentage}=\left(\frac{70}{560}\right)\times 100=\frac{1}{8}\times 100=12.5\%$

Hence, the girls in school A who failed the exam are 12.5% of the total girls in school C.