In vocational course in a college `15%` seats increase annually. If there were 800 students in 1992, how many students will be there in 1994 ?

Options

A. 920
B. 1040
C. 1058
D. 1178

Answer

To solve the problem of how many students will be in the vocational course in 1994, given that there is a 15% increase in seats annually starting from 800 students in 1992, we can follow these steps:

### Step 1: Calculate the number of students in 1993
We start with the initial number of students in 1992, which is 800. To find the number of students in 1993 after a 15% increase, we can use the formula:

\[ \text{New Number of Students} = \text{Original Number} + \left(\frac{\text{Percentage Increase}}{100} \times \text{Original Number}\right) \]

Calculating the 15% increase:

\[ \text{Increase} = \frac{15}{100} \times 800 = 120 \]

Now, add this increase to the original number of students:

\[ \text{Students in 1993} = 800 + 120 = 920 \]

### Step 2: Calculate the number of students in 1994
Now, we will calculate the number of students in 1994 using the same method, starting with 920 students in 1993:

\[ \text{Increase} = \frac{15}{100} \times 920 = 138 \]

Now, add this increase to the number of students in 1993:

\[ \text{Students in 1994} = 920 + 138 = 1058 \]

### Final Answer
Thus, the number of students in the vocational course in 1994 will be **1058**.

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