Worker Wage Calculation Explained

This problem asks us to determine the daily wage for a single worker, given the total amount paid to multiple workers over a period of several days. We need to break down the total wages to find the specific amount earned by one person in one day.

Information Provided

Let's list the details given in the question:

• Total number of workers: 10
• Number of days worked: 6
• Total wages paid for 6 days to 10 workers: ₹1,200

Step 1: Calculate Weekly Wage Per Worker

First, we need to find out how much money one worker earned over the entire six-day period. To do this, we divide the total wages paid to all workers by the number of workers.

The formula is:

Wage per worker for 6 days = \( \frac{\text{Total Wages}}{\text{Number of Workers}} \)

Plugging in the values:

Wage per worker for 6 days = \( \frac{₹1,200}{10} \)

Wage per worker for 6 days = \( ₹120 \)

So, each worker earned ₹120 during the six days.

Step 2: Calculate Daily Wage for One Worker

Now that we know the total amount one worker earned over six days (₹120), we can calculate their earning for a single day. We do this by dividing the worker's total earning for the period by the number of days they worked.

The formula is:

One-day wage per worker = \( \frac{\text{Wage per worker for 6 days}}{\text{Number of Days}} \)

Plugging in the values:

One-day wage per worker = \( \frac{₹120}{6} \)

One-day wage per worker = \( ₹20 \)

Conclusion on Daily Worker Wage

Based on the calculations, the one-day wage of one worker is ₹20.