What is the approximate percentage of students passed during five academic years

Options

A. 0.72
B. 0.78
C. 0.79
D. 0.73

Answer

To find the approximate percentage of students who passed during five academic years, we can follow these steps:

### Step 1: Gather the Data
We need to collect the number of passed and failed students for each academic year from the provided data.

- **2013-14**: Passed = 150, Failed = 100
- **2014-15**: Passed = 200, Failed = 100
- **2015-16**: Passed = 300, Failed = 50
- **2016-17**: Passed = 250, Failed = 100
- **2017-18**: Passed = 300, Failed = 100

### Step 2: Calculate Total Passed and Failed Students
Now, we will calculate the total number of passed and failed students over the five years.

- **Total Passed Students**:
- 2013-14: 150
- 2014-15: 200
- 2015-16: 300
- 2016-17: 250
- 2017-18: 300

Total Passed = 150 + 200 + 300 + 250 + 300 = **1200**

- **Total Failed Students**:
- 2013-14: 100
- 2014-15: 100
- 2015-16: 50
- 2016-17: 100
- 2017-18: 100

Total Failed = 100 + 100 + 50 + 100 + 100 = **450**

### Step 3: Calculate Total Students
Now, we will calculate the total number of students (passed + failed).

Total Students = Total Passed + Total Failed = 1200 + 450 = **1650**

### Step 4: Calculate the Pass Percentage
To find the pass percentage, we will use the formula:

\[ \text{Pass Percentage} = \left( \frac{\text{Total Passed}}{\text{Total Students}} \right) \times 100 \]

Substituting the values:

\[ \text{Pass Percentage} = \left( \frac{1200}{1650} \right) \times 100 \]

### Step 5: Simplify the Calculation
Calculating the fraction:

\[ \frac{1200}{1650} = \frac{1200 \div 150}{1650 \div 150} = \frac{8}{11} \]

Now, calculating the percentage:

\[ \text{Pass Percentage} = \left( \frac{8}{11} \right) \times 100 \approx 72.73 \]

### Step 6: Round the Percentage
Rounding 72.73 to two decimal points gives us approximately **72.73%**.

### Step 7: Select the Closest Option
From the options provided (0.72, 0.78, 0.79, 0.73), the closest percentage is **0.73**.

### Final Answer
The approximate percentage of students passed during five academic years is **0.73**.

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