A daily wage worker was paid 1700 during a period of 30 days. During this period he was absent for 4 days and was fined Rs. 15 per day for absence. He was paid the full salary only for 18 days as he came late on the other days. Those who came late were given only half the salary for that day. What was the total salary paid per month to a worker who came on time every day and was never absent ?

Options

A. Rs. 2400
B. Rs. 3000
C. Rs. 2700
D. Rs. 2250

Answer

To solve the problem step by step, we will first define the variables and then calculate the total salary for a worker who comes on time every day and is never absent.

### Step-by-Step Solution:

1. **Define the daily wage**:
Let the daily wage of the worker be \( x \).

2. **Calculate the total salary for a month**:
Since there are 30 days in a month, the total salary for a worker who comes on time every day would be:
\[ \text{Total Salary} = 30 \times x \]

3. **Determine the number of days worked and days late**:
The worker was absent for 4 days and worked full salary for 18 days. Therefore, the number of days he came late can be calculated as follows:
\[ \text{Days Late} = 30 - 18 - 4 = 8 \text{ days} \]

4. **Calculate the total salary received by the worker**:
The worker received a total of Rs. 1700. This amount includes:
- Full salary for 18 days: \( 18x \)
- Half salary for 8 days (since he came late): \( 8 \times \frac{x}{2} = 4x \)
- Fine for 4 days of absence: \( -4 \times 15 = -60 \)

Therefore, we can write the equation:
\[ 1700 = 18x + 4x - 60 \]

5. **Simplify the equation**:
Combine like terms:
\[ 1700 = 22x - 60 \]

6. **Isolate \( x \)**:
Add 60 to both sides:
\[ 1700 + 60 = 22x \]
\[ 1760 = 22x \]

7. **Solve for \( x \)**:
Divide both sides by 22:
\[ x = \frac{1760}{22} = 80 \]

8. **Calculate the total salary for a worker who comes on time every day**:
Now that we have the daily wage, we can find the total salary for the month:
\[ \text{Total Salary} = 30 \times 80 = 2400 \]

### Final Answer:
The total salary paid per month to a worker who came on time every day and was never absent is **Rs. 2400**.