If 5 men or 7 women can earn Rs. 5,250 per day, how much would 7 men and 13 women earn per day?

Options

A. Rs. 11,600
B. Rs. 11,700
C. Rs. 16,100
D. Rs. 17,100

Answer

To solve the problem, we will first determine the earnings of one man and one woman based on the information given, and then calculate the total earnings for 7 men and 13 women.

### Step-by-Step Solution:

1. **Determine the daily earnings of 5 men:**
Given that 5 men can earn Rs. 5,250 per day, we can express this as:
\[ \text{Earnings of 5 men} = 5,250 \]

2. **Calculate the daily earnings of 1 man:**
To find out how much 1 man earns, we divide the total earnings by the number of men:
\[ \text{Earnings of 1 man} = \frac{5,250}{5} = 1,050 \]

3. **Determine the daily earnings of 7 women:**
We know that 7 women can also earn Rs. 5,250 per day. Therefore:
\[ \text{Earnings of 7 women} = 5,250 \]

4. **Calculate the daily earnings of 1 woman:**
To find out how much 1 woman earns, we divide the total earnings by the number of women:
\[ \text{Earnings of 1 woman} = \frac{5,250}{7} \approx 750 \]

5. **Calculate the total earnings of 7 men:**
Now that we know the earnings of 1 man, we can calculate the total earnings for 7 men:
\[ \text{Earnings of 7 men} = 7 \times 1,050 = 7,350 \]

6. **Calculate the total earnings of 13 women:**
Similarly, we can calculate the total earnings for 13 women:
\[ \text{Earnings of 13 women} = 13 \times 750 = 9,750 \]

7. **Calculate the total earnings of 7 men and 13 women:**
Finally, we add the earnings of 7 men and 13 women to find the total earnings:
\[ \text{Total earnings} = 7,350 + 9,750 = 17,100 \]

### Final Answer:
Thus, the total earnings of 7 men and 13 women per day is Rs. 17,100.

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