If 15 workers can earn ₹1,800 in 10 days. Find the earning (in ₹) of 5 workers in 8 days.

Options

A. 400
B. 360
C. 540
D. 480

Answer

To solve the problem step by step, we can use the concept of work done by workers over time.

### Step 1: Determine the total work done by 15 workers in 10 days.
The total earnings of 15 workers in 10 days is ₹1,800.

### Step 2: Calculate the daily earnings of 15 workers.
To find the daily earnings, we divide the total earnings by the number of days:
\[ \text{Daily earnings of 15 workers} = \frac{1800}{10} = ₹180 \]

### Step 3: Calculate the daily earnings of one worker.
Since 15 workers earn ₹180 in a day, the earnings of one worker in a day can be calculated as:
\[ \text{Daily earnings of 1 worker} = \frac{180}{15} = ₹12 \]

### Step 4: Calculate the total earnings of 5 workers in 8 days.
Now, we need to find out how much 5 workers will earn in 8 days. First, we find the daily earnings of 5 workers:
\[ \text{Daily earnings of 5 workers} = 5 \times 12 = ₹60 \]

Now, we can calculate the total earnings of 5 workers in 8 days:
\[ \text{Total earnings of 5 workers in 8 days} = 60 \times 8 = ₹480 \]

### Final Answer:
The earning of 5 workers in 8 days is ₹480.

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