The ratio of expenditure to income of a person is 7 : 8 What amount will he save per month, If his monthly income is ₹64,000?

Answer

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

### Step 1: Understand the Ratio
The ratio of expenditure to income is given as 7:8. This means for every 7 parts of expenditure, there are 8 parts of income.

### Step 2: Assign Variables
Let the expenditure be represented as \( 7x \) and the income as \( 8x \), where \( x \) is a common multiplier.

### Step 3: Set Up the Equation
Since the monthly income is given as ₹64,000, we can set up the equation:
\[ 8x = 64000 \]

### Step 4: Solve for \( x \)
To find \( x \), divide both sides of the equation by 8:
\[ x = \frac{64000}{8} = 8000 \]

### Step 5: Calculate Expenditure
Now that we have \( x \), we can find the expenditure:
\[ \text{Expenditure} = 7x = 7 \times 8000 = 56000 \]

### Step 6: Calculate Savings
To find the savings, subtract the expenditure from the income:
\[ \text{Savings} = \text{Income} - \text{Expenditure} = 64000 - 56000 = 8000 \]

### Final Answer
The amount he will save per month is ₹8,000.

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