In a school the ratio between boys and girls is 3:4. Find the percentage of boys in the school

Options

A. `25%`
B. `75%`
C. `50%`
D. None of these

Answer

To find the percentage of boys in a school where the ratio of boys to girls is 3:4, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of boys to girls is given as 3:4. This means for every 3 boys, there are 4 girls.

2. **Assume Values**: To make calculations easier, we can assume the number of boys is 3 and the number of girls is 4.
- Let the number of boys = 3
- Let the number of girls = 4

3. **Calculate Total Students**: Now, we need to find the total number of students in the school.
\[ \text{Total Students} = \text{Number of Boys} + \text{Number of Girls} = 3 + 4 = 7 \]

4. **Find the Percentage of Boys**: To find the percentage of boys in the school, we use the formula:
\[ \text{Percentage of Boys} = \left( \frac{\text{Number of Boys}}{\text{Total Students}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage of Boys} = \left( \frac{3}{7} \right) \times 100 \]

5. **Calculate the Percentage**: Now we calculate \( \frac{3}{7} \times 100 \):
\[ \text{Percentage of Boys} = \frac{300}{7} \approx 42.857\% \]

6. **Final Result**: The percentage of boys in the school is approximately \( 42.857\% \) or \( 42 \frac{6}{7}\% \).