A's salary is same as `4` times B's salary. If together they earn `"Rs. 3,750"` a month, find the salary of each.

Answer

To solve the problem, we will follow these steps:

### Step 1: Define the Variables
Let the salary of B be \( x \). According to the problem, A's salary is four times B's salary. Therefore, A's salary can be expressed as:
\[ \text{Salary of A} = 4x \]

### Step 2: Set Up the Equation
According to the problem, the total salary of A and B together is Rs. 3,750. We can express this as an equation:
\[ \text{Salary of A} + \text{Salary of B} = 3750 \]
Substituting the expressions for A's and B's salaries into the equation gives us:
\[ 4x + x = 3750 \]

### Step 3: Combine Like Terms
Now, we can combine the terms on the left side of the equation:
\[ 5x = 3750 \]

### Step 4: Solve for \( x \)
To find the value of \( x \), we divide both sides of the equation by 5:
\[ x = \frac{3750}{5} \]
Calculating this gives:
\[ x = 750 \]

### Step 5: Find A's Salary
Now that we have the value of \( x \), we can find A's salary:
\[ \text{Salary of A} = 4x = 4 \times 750 = 3000 \]

### Step 6: State the Salaries
Thus, the salaries of A and B are:
- Salary of B: Rs. 750
- Salary of A: Rs. 3000

### Final Answer
- A's salary is Rs. 3000.
- B's salary is Rs. 750.

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