What percentage of the whole week does Ram spend in office, if his office hours are 9am to 5pm from Monday to Friday ?

Options

A. `33.33%`
B. `23.81%`
C. `25.86%`
D. `42.23%`

Answer

To find out what percentage of the whole week Ram spends in the office, we will follow these steps:

### Step 1: Calculate the total hours in a week
A week consists of 7 days, and each day has 24 hours. Therefore, the total hours in a week can be calculated as:
\[ \text{Total hours in a week} = 24 \text{ hours/day} \times 7 \text{ days} = 168 \text{ hours} \]

### Step 2: Calculate Ram's office hours in a week
Ram works from 9 AM to 5 PM, which is a total of 8 hours each day. Since he works from Monday to Friday, we need to calculate his total office hours for these 5 days:
\[ \text{Office hours per day} = 5 \text{ PM} - 9 \text{ AM} = 8 \text{ hours} \]
\[ \text{Total office hours in a week} = 8 \text{ hours/day} \times 5 \text{ days} = 40 \text{ hours} \]

### Step 3: Calculate the percentage of the week spent in the office
To find the percentage of the total week that Ram spends in the office, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Office hours}}{\text{Total hours in a week}} \right) \times 100 \]
Substituting the values we calculated:
\[ \text{Percentage} = \left( \frac{40 \text{ hours}}{168 \text{ hours}} \right) \times 100 \]

### Step 4: Perform the calculation
Now, we can perform the calculation:
\[ \text{Percentage} = \left( \frac{40}{168} \right) \times 100 \approx 23.81\% \]

### Conclusion
Ram spends approximately **23.81%** of the whole week in the office.

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