There are 100 students in class VII in a school. 40 students are in Section A, 33 in Section B, and the remaining students are in Section C. Find what percentage of students are there in each section.

Answer

To find the percentage of students in each section, we can follow these steps:

### Step 1: Determine the number of students in Section C
We know the total number of students is 100. The number of students in Section A is 40, and in Section B is 33.

To find the number of students in Section C, we can use the formula:
\[ \text{Number of students in Section C} = \text{Total students} - (\text{Students in Section A} + \text{Students in Section B}) \]

Substituting the values:
\[ \text{Number of students in Section C} = 100 - (40 + 33) = 100 - 73 = 27 \]

### Step 2: Calculate the percentage of students in Section A
To find the percentage of students in Section A, we use the formula:
\[ \text{Percentage in Section A} = \left( \frac{\text{Number of students in Section A}}{\text{Total number of students}} \right) \times 100 \]

Substituting the values:
\[ \text{Percentage in Section A} = \left( \frac{40}{100} \right) \times 100 = 40\% \]

### Step 3: Calculate the percentage of students in Section B
Using the same formula for Section B:
\[ \text{Percentage in Section B} = \left( \frac{\text{Number of students in Section B}}{\text{Total number of students}} \right) \times 100 \]

Substituting the values:
\[ \text{Percentage in Section B} = \left( \frac{33}{100} \right) \times 100 = 33\% \]

### Step 4: Calculate the percentage of students in Section C
Finally, we calculate the percentage for Section C:
\[ \text{Percentage in Section C} = \left( \frac{\text{Number of students in Section C}}{\text{Total number of students}} \right) \times 100 \]

Substituting the values:
\[ \text{Percentage in Section C} = \left( \frac{27}{100} \right) \times 100 = 27\% \]

### Summary of the Results
- Percentage of students in Section A: **40%**
- Percentage of students in Section B: **33%**
- Percentage of students in Section C: **27%**

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