855 candidates applied for a job , out of which 80% of the candidates were rejected. How many candidates were selected for the job ?

Options

A. 684
B. 151
C. 676
D. None of these

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the total number of candidates
The total number of candidates who applied for the job is given as 855.

### Step 2: Determine the percentage of candidates rejected
We know that 80% of the candidates were rejected. Therefore, the percentage of candidates who were selected is:
\[ 100\% - 80\% = 20\% \]

### Step 3: Calculate the number of candidates selected
To find the number of candidates selected, we need to calculate 20% of the total candidates (855). The formula to find a percentage of a number is:
\[ \text{Percentage} = \left( \frac{\text{Percentage Rate}}{100} \right) \times \text{Total Number} \]

Using this formula:
\[ \text{Number of candidates selected} = \left( \frac{20}{100} \right) \times 855 \]

### Step 4: Simplify the calculation
Calculating 20% of 855:
\[ \text{Number of candidates selected} = \frac{20 \times 855}{100} \]
\[ = \frac{17100}{100} \]
\[ = 171 \]

### Step 5: Conclusion
Therefore, the number of candidates selected for the job is **171**.

---