10 men working 5 hours/day earn Rs 300. How much money will 15 men working 10 hours/day earn?

Options

A. Rs 600
B. Rs 900
C. Rs800
D. Rs 6560

Answer

To solve the problem step by step, we will break it down into manageable parts.

### Step 1: Determine the earnings per hour for the initial group of men.
We know that 10 men working 5 hours a day earn Rs 300.

**Calculation:**
- Total man-hours = Number of men × Hours worked per day = 10 men × 5 hours = 50 man-hours.
- Earnings per man-hour = Total earnings / Total man-hours = Rs 300 / 50 man-hours = Rs 6 per man-hour.

### Step 2: Calculate the total man-hours for the new group of men.
Now, we need to find out how many man-hours 15 men working 10 hours a day will contribute.

**Calculation:**
- Total man-hours = Number of men × Hours worked per day = 15 men × 10 hours = 150 man-hours.

### Step 3: Calculate the total earnings for the new group of men.
Now that we know the earnings per man-hour and the total man-hours for the new group, we can calculate their total earnings.

**Calculation:**
- Total earnings = Earnings per man-hour × Total man-hours = Rs 6 per man-hour × 150 man-hours = Rs 900.

### Final Answer:
Thus, 15 men working 10 hours a day will earn Rs 900.

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