Two labourers A and B are paid a total of `Rs.750` per day. If A is paid 150 percent of what is paid to B, how much (in Rs) is paid to B ?

Options

A. `450`
B. `250`
C. `300`
D. `500`

Answer

To solve the problem step by step, we need to determine how much is paid to laborer B given the total payment and the percentage relationship between the payments of A and B.

### Step 1: Understand the relationship between A and B
We know that A is paid 150% of what B is paid. This can be expressed mathematically as:
\[ A = 1.5B \]

### Step 2: Set up the equation for total payment
The total payment for both A and B is given as Rs. 750. Therefore, we can write the equation:
\[ A + B = 750 \]

### Step 3: Substitute A in the total payment equation
Now, substitute the expression for A from Step 1 into the total payment equation:
\[ 1.5B + B = 750 \]

### Step 4: Combine like terms
Combine the terms on the left side:
\[ 2.5B = 750 \]

### Step 5: Solve for B
To find the value of B, divide both sides of the equation by 2.5:
\[ B = \frac{750}{2.5} \]

### Step 6: Calculate the value of B
Now, perform the division:
\[ B = 300 \]

### Conclusion
Laborer B is paid Rs. 300.