Rakesh's salary is increased by 10% & he get now Rs. 5000. Find the salary before the increase

Options

A. Rs. 4545,45
B. Rs. 4545
C. Rs. 4540
D. Rs. 4544

Answer

To find Rakesh's salary before the increase, we can follow these steps:

### Step 1: Understand the problem
Rakesh's current salary after a 10% increase is Rs. 5000. We need to find out what his salary was before this increase.

### Step 2: Set up the equation
Let Rakesh's original salary be represented as \( x \). According to the problem, when his salary is increased by 10%, it becomes:
\[ x + 0.10x = 1.10x \]
This means that his new salary (after the increase) is 110% of his original salary.

### Step 3: Relate the new salary to the original salary
We know that after the increase, Rakesh's salary is Rs. 5000. Therefore, we can write the equation:
\[ 1.10x = 5000 \]

### Step 4: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{5000}{1.10} \]

### Step 5: Calculate the value of \( x \)
Now, we perform the division:
\[ x = \frac{5000}{1.10} = 4545.45 \]

### Conclusion
Rakesh's salary before the increase was approximately Rs. 4545.45.

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