270 candidates appeared for an examination, of which 252 passed. The pass percentage is ?

Options

A. A)`80%`
B. B)`83(1)/(2)%`
C. C)`90(1)/(3)%`
D. D)`93(1)/(3)%`

Answer

To find the pass percentage of candidates who appeared for the examination, we can follow these steps:

### Step 1: Identify the total number of candidates and the number of candidates who passed.
- Total candidates = 270
- Candidates who passed = 252

### Step 2: Use the formula for pass percentage.
The formula for calculating the pass percentage is:
\[ \text{Pass Percentage} = \left( \frac{\text{Number of Candidates Passed}}{\text{Total Number of Candidates}} \right) \times 100 \]

### Step 3: Substitute the values into the formula.
Substituting the values we have:
\[ \text{Pass Percentage} = \left( \frac{252}{270} \right) \times 100 \]

### Step 4: Simplify the fraction.
To simplify \(\frac{252}{270}\):
- Both numerator and denominator can be divided by 9.
\[ \frac{252 \div 9}{270 \div 9} = \frac{28}{30} \]

### Step 5: Further simplify the fraction.
Now, simplify \(\frac{28}{30}\):
- Both numerator and denominator can be divided by 2.
\[ \frac{28 \div 2}{30 \div 2} = \frac{14}{15} \]

### Step 6: Calculate the percentage.
Now, we can calculate the percentage:
\[ \text{Pass Percentage} = \left( \frac{14}{15} \right) \times 100 \]
Calculating this gives:
\[ \frac{14 \times 100}{15} = \frac{1400}{15} = 93.33 \]

### Step 7: Convert to mixed number.
To express 93.33 as a mixed number:
- 93.33 can be written as \(93 \frac{1}{3}\).

### Final Answer:
The pass percentage is \(93 \frac{1}{3}\%\).

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