A labourer earns Rs 1200 a month and spends Rs 800. Find the ratio of his expenditure to income

Answer

To find the ratio of the labourer's expenditure to his income, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Income and Expenditure**:
- The labourer's income is Rs 1200.
- The labourer's expenditure is Rs 800.

2. **Write the Ratio**:
- The ratio of expenditure to income can be expressed as:
\[ \text{Ratio} = \frac{\text{Expenditure}}{\text{Income}} = \frac{800}{1200} \]

3. **Simplify the Ratio**:
- To simplify the ratio \(\frac{800}{1200}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 400.
\[ \frac{800 \div 400}{1200 \div 400} = \frac{2}{3} \]

4. **Express the Ratio in Standard Form**:
- The simplified ratio of expenditure to income is:
\[ 2 : 3 \]

### Final Answer:
- The ratio of the labourer's expenditure to his income is **2 : 3**.