The monthly salary of a man was `Rs. 13,500` and his expenditures were `Rs. 9000` . Next year his salary increased by `14%` and expenditures increased by `7%`. Find the percentage of his increased saving.

Options

A. `29%`
B. `25%`
C. `30%`
D. `28%`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the initial savings
The initial savings can be calculated by subtracting the expenditures from the salary.

- **Initial Salary** = Rs. 13,500
- **Initial Expenditure** = Rs. 9,000

**Initial Savings** = Initial Salary - Initial Expenditure
**Initial Savings** = 13,500 - 9,000 = Rs. 4,500

### Step 2: Calculate the new salary after the increase
Next, we need to calculate the new salary after a 14% increase.

- **Percentage Increase in Salary** = 14%
- **New Salary** = Initial Salary + (14% of Initial Salary)

Calculating 14% of Rs. 13,500:
14% of 13,500 = (14/100) * 13,500 = Rs. 1,890

Now, we add this to the initial salary:
**New Salary** = 13,500 + 1,890 = Rs. 15,390

### Step 3: Calculate the new expenditure after the increase
Now, we calculate the new expenditure after a 7% increase.

- **Percentage Increase in Expenditure** = 7%
- **New Expenditure** = Initial Expenditure + (7% of Initial Expenditure)

Calculating 7% of Rs. 9,000:
7% of 9,000 = (7/100) * 9,000 = Rs. 630

Now, we add this to the initial expenditure:
**New Expenditure** = 9,000 + 630 = Rs. 9,630

### Step 4: Calculate the new savings
Now, we can find the new savings by subtracting the new expenditure from the new salary.

**New Savings** = New Salary - New Expenditure
**New Savings** = 15,390 - 9,630 = Rs. 5,760

### Step 5: Calculate the increase in savings
To find the increase in savings, we subtract the initial savings from the new savings.

**Increase in Savings** = New Savings - Initial Savings
**Increase in Savings** = 5,760 - 4,500 = Rs. 1,260

### Step 6: Calculate the percentage increase in savings
Finally, we calculate the percentage increase in savings using the formula:

**Percentage Increase in Savings** = (Increase in Savings / Initial Savings) * 100

**Percentage Increase in Savings** = (1,260 / 4,500) * 100
**Percentage Increase in Savings** = 28%

Thus, the percentage of his increased saving is **28%**.

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