The allowances of an empolyee constitutes 165% of his basic pay. If he receives 11925 gross salary, then his basic pay is (in):

Options

A. A) 4000
B. B) 5000
C. C) 4500
D. D) 5000

Answer

To find the basic pay of the employee, we can follow these steps:

### Step 1: Understand the relationship between basic pay and allowances
The allowances of the employee constitute 165% of his basic pay. This means:
- Allowances = 165% of Basic Pay

### Step 2: Define the gross salary
The gross salary is the sum of the basic pay and the allowances. Therefore, we can express the gross salary as:
- Gross Salary = Basic Pay + Allowances

### Step 3: Substitute the allowances in the gross salary equation
Using the relationship from Step 1, we can substitute allowances in the gross salary equation:
- Gross Salary = Basic Pay + (165% of Basic Pay)
- Gross Salary = Basic Pay + 1.65 * Basic Pay
- Gross Salary = 2.65 * Basic Pay

### Step 4: Set up the equation with the given gross salary
We know that the gross salary is 11,925. So, we can set up the equation:
- 2.65 * Basic Pay = 11,925

### Step 5: Solve for Basic Pay
Now, we can solve for Basic Pay:
- Basic Pay = 11,925 / 2.65

### Step 6: Perform the division
Now we will calculate the value:
- Basic Pay = 11,925 / 2.65 ≈ 4,500

### Conclusion
The basic pay of the employee is approximately **4,500**.

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