A saves 20% of his monthly salary. If his monthly expenditure is X 6000, then his monthly savings is

Options

A. Rs 1200
B. Rs 4800
C. Rs 1500
D. Rs 1800

Answer

To find A's monthly savings based on the given information, we can follow these steps:

### Step 1: Understand the relationship between savings and expenditure
A saves 20% of his monthly salary. This means that he spends the remaining 80% of his salary. Given that his monthly expenditure is Rs 6,000, we can set up the following relationship:

- Expenditure = 80% of Monthly Salary

### Step 2: Set up the equation
Let the monthly salary be denoted as S. According to the information provided:

\[ 0.80S = 6000 \]

### Step 3: Solve for the monthly salary (S)
To find S, we can rearrange the equation:

\[ S = \frac{6000}{0.80} \]

Calculating this gives:

\[ S = 6000 \div 0.80 = 6000 \times \frac{10}{8} = 6000 \times 1.25 = 7500 \]

So, A's monthly salary is Rs 7,500.

### Step 4: Calculate the monthly savings
Now that we have the monthly salary, we can calculate the savings, which is 20% of the monthly salary:

\[ \text{Savings} = 0.20 \times S = 0.20 \times 7500 \]

Calculating this gives:

\[ \text{Savings} = 1500 \]

### Conclusion
A's monthly savings is Rs 1,500.

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