In the month of March, Hiten spent 45% of his monthly salary on paying bill and rent. Out of the remaining salary, he invested 60% in PPF and the remaining he deposited in bank. He deposited Rs 15,400 in the bank. If in April, he got an increment of 10%, What was his salary in April?

Options

A. Rs 84,000
B. Rs 77,000
C. Rs, 1,10,000
D. Rs 59,000

Answer

To solve the problem step by step, let's break it down:

### Step 1: Define the Monthly Salary
Let Hiten's monthly salary in March be \( x \).

### Step 2: Calculate the Amount Spent on Bills and Rent
Hiten spent 45% of his salary on bills and rent. Therefore, the amount spent is:
\[ \text{Amount spent} = 0.45x \]

### Step 3: Calculate the Remaining Salary
After paying bills and rent, the remaining salary is:
\[ \text{Remaining salary} = x - 0.45x = 0.55x \]

### Step 4: Calculate the Investment in PPF
Out of the remaining salary, Hiten invested 60% in PPF. Thus, the amount invested in PPF is:
\[ \text{Amount invested in PPF} = 0.60 \times 0.55x = 0.33x \]

### Step 5: Calculate the Amount Deposited in the Bank
The remaining amount after the PPF investment is:
\[ \text{Remaining after PPF} = 0.55x - 0.33x = 0.22x \]
According to the problem, this amount deposited in the bank is Rs 15,400:
\[ 0.22x = 15400 \]

### Step 6: Solve for \( x \)
To find \( x \), we rearrange the equation:
\[ x = \frac{15400}{0.22} \]
Calculating this gives:
\[ x = 70000 \]

### Step 7: Calculate the Salary in April
In April, Hiten received a 10% increment on his salary. Therefore, his new salary in April is:
\[ \text{New Salary} = x + 0.10x = 1.10x \]
Substituting the value of \( x \):
\[ \text{New Salary} = 1.10 \times 70000 = 77000 \]

### Conclusion
Thus, Hiten's salary in April is Rs 77,000.