Ankit was to get a 29% hike in his salary but due to typing error. It is wrongly typed the figure 57% and printed the new slip. He received this revised salary for 3 months before the organization realized the mistake, if the excess paid to him in the previous months is to be deducted from his fourth month salary. If after deduction he gets Rs.9000 as fourth months salary then find his actual salary?

Options

A. Rs. 28700
B. Rs.25400
C. Rs.21400
D. Rs.25800

Answer

To find Ankit's actual salary based on the information provided, we can follow these steps:

### Step 1: Define the variables
Let Ankit's actual salary be \( S \).

### Step 2: Calculate the expected salary after a 29% hike
The expected salary after a 29% hike can be calculated as:
\[ \text{Expected Salary} = S + 0.29S = 1.29S \]

### Step 3: Calculate the salary he received due to the typing error
Due to the typing error, Ankit received a salary based on a 57% hike:
\[ \text{Received Salary} = S + 0.57S = 1.57S \]

### Step 4: Determine the excess amount he received each month
The excess amount paid to Ankit each month is the difference between what he received and what he was supposed to receive:
\[ \text{Excess Amount} = \text{Received Salary} - \text{Expected Salary} = 1.57S - 1.29S = 0.28S \]

### Step 5: Calculate the total excess amount for 3 months
Since he received this excess amount for 3 months, the total excess amount is:
\[ \text{Total Excess} = 3 \times 0.28S = 0.84S \]

### Step 6: Determine the salary after deduction in the fourth month
According to the problem, after deducting the excess amount from his fourth month salary, he received Rs. 9000. Therefore, we can set up the equation:
\[ \text{Fourth Month Salary} - \text{Total Excess} = 9000 \]
Substituting the values we have:
\[ 1.57S - 0.84S = 9000 \]
This simplifies to:
\[ 0.73S = 9000 \]

### Step 7: Solve for S
Now, we can solve for \( S \):
\[ S = \frac{9000}{0.73} \approx 12328.77 \]

### Conclusion
Ankit's actual salary is approximately Rs. 12328.77.

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