A person earns Rs. 1200 per day and spends Rs. 800. Find the ratio of his savings to expenditure.

Answer

To find the ratio of a person's savings to their expenditure, we can follow these steps:

### Step 1: Determine the daily earnings and expenditure
The person earns Rs. 1200 per day and spends Rs. 800 per day.

### Step 2: Calculate the savings
Savings can be calculated by subtracting the expenditure from the earnings.

\[ \text{Savings} = \text{Earnings} - \text{Expenditure} \]
\[ \text{Savings} = 1200 - 800 = 400 \]

### Step 3: Set up the ratio of savings to expenditure
Now that we have the savings, we can set up the ratio of savings to expenditure.

\[ \text{Ratio of Savings to Expenditure} = \frac{\text{Savings}}{\text{Expenditure}} = \frac{400}{800} \]

### Step 4: Simplify the ratio
To simplify the ratio, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 400 in this case.

\[ \frac{400 \div 400}{800 \div 400} = \frac{1}{2} \]

### Step 5: Write the final ratio
Thus, the ratio of savings to expenditure is:

\[ \text{Savings : Expenditure} = 1 : 2 \]

### Final Answer
The ratio of his savings to expenditure is **1 : 2**.

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