The total number of students selected in SSC examination is 12,000. The percentage distribution of students selected from six different zones is as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758900974/aptidude_questions/yebsvmhwdabjbxk4qicb.png)

What is the approximate percentage difference between the total number of girls selected from Zone A and Zone C together and the total number of boys selected from Zone A and Zone C together? (Calculate percentage difference as $ $\frac{\text{Girls} - \text{Boys}}{\text{Boys}} \times 100$ $)

Question

The total number of students selected in SSC examination is 12,000. The percentage distribution of students selected from six different zones is as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758900974/aptidude_questions/yebsvmhwdabjbxk4qicb.png)

What is the approximate percentage difference between the total number of girls selected from Zone A and Zone C together and the total number of boys selected from Zone A and Zone C together? (Calculate percentage difference as $ $\frac{\text{Girls} - \text{Boys}}{\text{Boys}} \times 100$ $)

Accepted Answer

**Solution:**

1. Calculate total students selected from Zone A and Zone C:
   - Zone A: 25\% of 12,000 = $$0.25 \times 12,000 = 3,000$$
   - Zone C: 15\% of 12,000 = $$0.15 \times 12,000 = 1,800$$
   - Total students from A & C = 3,000 + 1,800 = 4,800

2. Calculate total boys selected from Zone A and Zone C:
   - Total boys selected = 7,000
   - Boys from Zone A: 30\% of 7,000 = $$0.30 \times 7,000 = 2,100$$
   - Boys from Zone C: 22\% of 7,000 = $$0.22 \times 7,000 = 1,540$$
   - Total boys from A & C = 2,100 + 1,540 = 3,640

3. Calculate total girls selected from Zone A and Zone C:
   - Girls = Total students - Boys
   - Girls from A & C = 4,800 - 3,640 = 1,160

4. Find the percentage difference between girls and boys from Zone A & C:
   $$\text{Percentage difference} = \frac{\text{Girls} - \text{Boys}}{\text{Boys}} \times 100 = \frac{1,160 - 3,640}{3,640} \times 100 = \frac{-2,480}{3,640} \times 100 \approx -68.13\%$$

Since girls are less than boys, the difference is approximately 68\% less.

**Answer:** 68\%

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