The pie charts below represent the percentage distribution of total students selected in the SSC examination and the percentage distribution of total boys selected from six different zones. The total number of students selected is $12000$, and the total number of boys selected is $7000$.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758900997/aptidude_questions/in99aknhu6qxz0utfnla.png)

What is the difference between the total number of girls selected from zones B, D, and F combined and the total number of boys selected from zones B and D combined?

Question

The pie charts below represent the percentage distribution of total students selected in the SSC examination and the percentage distribution of total boys selected from six different zones. The total number of students selected is $12000$, and the total number of boys selected is $7000$.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758900997/aptidude_questions/in99aknhu6qxz0utfnla.png)

What is the difference between the total number of girls selected from zones B, D, and F combined and the total number of boys selected from zones B and D combined?

Accepted Answer

**Solution:**

1. Calculate the total number of students selected from each zone:
   - Zone B: $12\%$ of $12000 = \frac{12}{100} 	imes 12000 = 1440$
   - Zone D: $20\%$ of $12000 = \frac{20}{100} 	imes 12000 = 2400$
   - Zone F: $10\%$ of $12000 = \frac{10}{100} 	imes 12000 = 1200$

2. Calculate the total number of boys selected from each zone:
   - Total boys selected = $7000$
   - Zone B boys: $10\%$ of $7000 = \frac{10}{100} 	imes 7000 = 700$
   - Zone D boys: $13\%$ of $7000 = \frac{13}{100} 	imes 7000 = 910$

3. Calculate the number of girls selected from zones B, D, and F:
   - Girls in Zone B = Total students in B - Boys in B = $1440 - 700 = 740$
   - Girls in Zone D = Total students in D - Boys in D = $2400 - 910 = 1490$
   - Girls in Zone F = Total students in F - Boys in F
     
     Boys in Zone F = $10\%$ of $7000 = 700$
     
     Girls in Zone F = $1200 - 700 = 500$

- Total girls in B, D, and F = $740 + 1490 + 500 = 2730$

4. Calculate total boys selected from zones B and D:
   - Boys in B and D = $700 + 910 = 1610$

5. Find the difference:
   - Difference = Girls in B, D, F - Boys in B, D = $2730 - 1610 = 1120$

**Answer:** $1120$

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