Two persons A and B are paid a total of Rs. 2,040 per week by their employer. If B is paid 140 percent of the sum paid to A, then how much is A paid per week?

Options

A. Rs. 750
B. Rs. 820
C. Rs. 850
D. Rs. 800

Answer

To solve the problem, we need to determine how much person A is paid per week given that B is paid 140% of A's salary and together they earn Rs. 2,040.

### Step-by-Step Solution:

1. **Define A's Salary**:
Let A's weekly salary be denoted as \( A \).

2. **Calculate B's Salary**:
Since B is paid 140% of A's salary, we can express B's salary as:
\[ B = 1.4 \times A \]

3. **Set Up the Equation**:
The total salary paid to A and B together is Rs. 2,040. Therefore, we can write the equation:
\[ A + B = 2040 \]
Substituting B from step 2 into this equation gives:
\[ A + 1.4A = 2040 \]

4. **Combine Like Terms**:
Combine the terms on the left side:
\[ 2.4A = 2040 \]

5. **Solve for A**:
To find A's salary, divide both sides of the equation by 2.4:
\[ A = \frac{2040}{2.4} \]
Performing the division:
\[ A = 850 \]

6. **Conclusion**:
Therefore, A is paid Rs. 850 per week.

### Final Answer:
A's weekly salary is Rs. 850.

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