6 persons earn ₹ 8,400 in a week, if they work 8 hours per day then how much amount would be earned by 9 persons in a week if they do the work 6 hours per day?

Options

A. ₹ 9,450
B. ₹ 1,350
C. ₹ 9,000
D. ₹ 7,200

Answer

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the given information
We know that:
- 6 persons earn ₹8,400 in a week.
- They work 8 hours per day.

We need to find out how much 9 persons would earn in a week if they work 6 hours per day.

### Step 2: Calculate the total hours worked by 6 persons in a week
First, we need to calculate the total hours worked by the 6 persons in a week.

Total hours worked by 6 persons in a week = Number of persons × Hours per day × Days per week

Assuming they work 7 days a week:
- Total hours = 6 persons × 8 hours/day × 7 days = 336 hours

### Step 3: Calculate the earning per hour for 6 persons
Now, we can find out how much they earn per hour.

Earning per hour = Total earning / Total hours worked
- Earning per hour = ₹8,400 / 336 hours = ₹25 per hour

### Step 4: Calculate the total hours worked by 9 persons in a week
Next, we calculate the total hours worked by 9 persons who work 6 hours per day.

Total hours worked by 9 persons in a week = Number of persons × Hours per day × Days per week
- Total hours = 9 persons × 6 hours/day × 7 days = 378 hours

### Step 5: Calculate the total earning for 9 persons
Now, we can calculate how much 9 persons would earn in a week.

Total earning for 9 persons = Earning per hour × Total hours worked
- Total earning = ₹25/hour × 378 hours = ₹9,450

### Conclusion
Thus, the amount earned by 9 persons in a week, working 6 hours per day, is **₹9,450**.

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