If 10 men or 5 women can earn Rs. 52,400 per day, how much would 7 men and 13 women earn per day ?

Options

A. Rs. 1,72,920
B. Rs. 54,400
C. 1,26,350
D. none of these

Answer

To solve the problem step by step, we will first determine the earning capacity of one man and one woman, and then calculate the total earnings for 7 men and 13 women.

### Step 1: Determine the earning capacity of one man and one woman.
Given that 10 men or 5 women can earn Rs. 52,400 per day, we can set up the following equations:

- Earnings of 10 men = Rs. 52,400
- Earnings of 5 women = Rs. 52,400

From this, we can find the earnings of one man and one woman.

**Earnings of one man:**
\[ \text{Earnings of 1 man} = \frac{52,400}{10} = Rs. 5,240 \]

**Earnings of one woman:**
\[ \text{Earnings of 1 woman} = \frac{52,400}{5} = Rs. 10,480 \]

### Step 2: Calculate the total earnings for 7 men and 13 women.
Now that we know the earnings of one man and one woman, we can calculate the total earnings for 7 men and 13 women.

**Total earnings of 7 men:**
\[ \text{Earnings of 7 men} = 7 \times 5,240 = Rs. 36,680 \]

**Total earnings of 13 women:**
\[ \text{Earnings of 13 women} = 13 \times 10,480 = Rs. 136,240 \]

### Step 3: Add the total earnings of men and women.
Now, we will add the total earnings of 7 men and 13 women to find the overall earnings.

\[ \text{Total earnings} = \text{Earnings of 7 men} + \text{Earnings of 13 women} \]
\[ \text{Total earnings} = 36,680 + 136,240 = Rs. 172,920 \]

### Final Answer:
The total earnings of 7 men and 13 women per day would be Rs. 172,920.

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