The following pie charts shows the percentage distribution of total students selected in SSC examination and percentage distribution of total boys selected students from six different zones. Study the following pie chart carefully and answer the given questions.

Total number of boys selected from zone A & zone F together is what percentage of total number of students selected from zone A, zone C and zone F together?

Correct Answer: $46\frac{2}{3}\%$

Step-by-Step Explanation:

From the provided pie charts, we can observe the following overall counts and percentage distributions across different zones:

1. Total number of selected students = 12000
- Selected students from Zone A = 25%
- Selected students from Zone C = 15%
- Selected students from Zone F = 10%

2. Total number of selected boys = 7000
- Selected boys from Zone A = 30%
- Selected boys from Zone F = 10%

Step 1: Calculate the total number of boys selected from Zone A & Zone F together.

Number of boys from Zone A = 30% of 7000

$=\frac{30}{100}\times 7000=2100$

Number of boys from Zone F = 10% of 7000

$=\frac{10}{100}\times 7000=700$

Total boys from Zone A and Zone F together:

$=2100+700=2800$

Step 2: Calculate the total number of students selected from Zone A, Zone C & Zone F together.

Number of students from Zone A = 25% of 12000

$=\frac{25}{100}\times 12000=3000$

Number of students from Zone C = 15% of 12000

$=\frac{15}{100}\times 12000=1800$

Number of students from Zone F = 10% of 12000

$=\frac{10}{100}\times 12000=1200$

Total students from Zone A, Zone C, and Zone F together:

$=3000+1800+1200=6000$

Step 3: Calculate the required percentage.

Percentage:

$=\left(\frac{\text{Total boys from Zone A and Zone F}}{\text{Total students from Zone A, Zone C and Zone F}}\right)\times 100$

$=\frac{2800}{6000}\times 100$

$=\frac{280}{6}\%=\frac{140}{3}\%$

$=46\frac{2}{3}\%$

Hence, the total number of boys selected from Zone A & Zone F together is $46\frac{2}{3}\%$ of the total number of students selected from Zone A, Zone C, and Zone F together.