If 12 persons working 16 h per day earn ? 33600 per week, then how much will 18 person earn working 12 h per week?

Options

A. X 40000
B. X35000
C. ?28800
D. ?37800

Answer

To solve the problem step by step, we will use the Unitary Method.

### Step 1: Understand the given information
We know:
- 12 persons working 16 hours per day earn Rs. 33,600 per week.

### Step 2: Calculate the total hours worked by 12 persons in a week
Each person works 16 hours per day. Therefore, in a week (7 days), the total hours worked by 12 persons is:
\[ \text{Total hours} = 12 \text{ persons} \times 16 \text{ hours/day} \times 7 \text{ days} = 1344 \text{ hours} \]

### Step 3: Calculate the earnings per hour for 12 persons
Now, we can find out how much they earn per hour:
\[ \text{Earnings per hour} = \frac{\text{Total earnings}}{\text{Total hours}} = \frac{33600}{1344} \approx 25 \text{ Rs/hour} \]

### Step 4: Calculate the total hours worked by 18 persons in a week
Now we need to find out how much 18 persons will earn working 12 hours per day. First, calculate the total hours worked by 18 persons in a week:
\[ \text{Total hours} = 18 \text{ persons} \times 12 \text{ hours/day} \times 7 \text{ days} = 1512 \text{ hours} \]

### Step 5: Calculate the earnings for 18 persons
Now we can calculate how much 18 persons will earn in a week:
\[ \text{Total earnings} = \text{Earnings per hour} \times \text{Total hours} = 25 \text{ Rs/hour} \times 1512 \text{ hours} = 37800 \text{ Rs} \]

### Final Answer
Therefore, 18 persons working 12 hours per day will earn Rs. 37,800 per week.

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