The number of students in a school increased by 8% annually . If there are 71280 students in the school, then how many students were there last year ?

Options

A. 57640
B. 54000
C. 61320
D. 66000

Answer

To find the number of students in the school last year, we can follow these steps:

### Step 1: Understand the Problem
The number of students in the school increased by 8% annually. Currently, there are 71,280 students. We need to find out how many students were there last year.

### Step 2: Set Up the Equation
Let the number of students last year be \( x \). Since the number of students increased by 8%, this means that the current number of students (71,280) is equal to last year's number of students plus 8% of last year's number.

This can be expressed as:
\[ 71280 = x + 0.08x \]
or
\[ 71280 = 1.08x \]

### Step 3: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{71280}{1.08} \]

### Step 4: Calculate \( x \)
Now we perform the division:
\[ x = \frac{71280}{1.08} = 66000 \]

### Step 5: Conclusion
Thus, the number of students in the school last year was \( \boxed{66000} \).

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