Two employes A and B are paid a total of Rs. 13,455 per week by their employer. If A is paid 125% of the sum paid to B. how much is B paid per week?

Options

A. Rs. 10,000
B. Rs 7,500
C. Rs 5,980
D. Rs 11,000

Answer

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

1. **Understanding the Problem**: We know that the total payment for employees A and B is Rs. 13,455 per week. Employee A is paid 125% of what employee B is paid.

2. **Setting Up the Equation**: Let the amount paid to employee B be \( B \). Since A is paid 125% of B, we can express A's payment as:
\[ A = 1.25B = \frac{125}{100}B = \frac{5}{4}B \]

3. **Expressing Total Payment**: The total payment to both A and B can be expressed as:
\[ A + B = 13,455 \]
Substituting the expression for A, we get:
\[ \frac{5}{4}B + B = 13,455 \]

4. **Combining Like Terms**: To combine the terms on the left side, we can express B with a common denominator:
\[ \frac{5}{4}B + \frac{4}{4}B = \frac{9}{4}B \]
Thus, we have:
\[ \frac{9}{4}B = 13,455 \]

5. **Solving for B**: To isolate B, we can multiply both sides by 4:
\[ 9B = 13,455 \times 4 \]
Calculating the right side:
\[ 9B = 53,820 \]
Now, divide both sides by 9:
\[ B = \frac{53,820}{9} = 5,980 \]

6. **Conclusion**: Therefore, the amount paid to employee B per week is Rs. 5,980.