A man earns Rs. 12000 per month. He spends `7/12` on household items and `3/24` on education of children. How much does he save?

Answer

To solve the problem step by step, we will calculate the man's expenditures on household items and education, and then determine how much he saves.

### Step 1: Calculate Household Expenditure
The man spends \( \frac{7}{12} \) of his salary on household items.

1. **Find the household expenditure:**
\[ \text{Household Expenditure} = \frac{7}{12} \times 12000 \]

- First, simplify \( \frac{7}{12} \times 12000 \):
\[ = 7 \times \left(\frac{12000}{12}\right) \]
- Calculate \( \frac{12000}{12} = 1000 \):
\[ = 7 \times 1000 = 7000 \]

So, the household expenditure is **Rs. 7000**.

### Step 2: Calculate Education Expenditure
The man spends \( \frac{3}{24} \) of his salary on education.

2. **Find the education expenditure:**
\[ \text{Education Expenditure} = \frac{3}{24} \times 12000 \]

- First, simplify \( \frac{3}{24} \times 12000 \):
\[ = 3 \times \left(\frac{12000}{24}\right) \]
- Calculate \( \frac{12000}{24} = 500 \):
\[ = 3 \times 500 = 1500 \]

So, the education expenditure is **Rs. 1500**.

### Step 3: Calculate Total Expenditure
3. **Find the total expenditure:**
\[ \text{Total Expenditure} = \text{Household Expenditure} + \text{Education Expenditure} \]
\[ = 7000 + 1500 = 8500 \]

So, the total expenditure is **Rs. 8500**.

### Step 4: Calculate Savings
4. **Find the savings:**
\[ \text{Savings} = \text{Salary} - \text{Total Expenditure} \]
\[ = 12000 - 8500 = 3500 \]

So, the savings are **Rs. 3500**.

### Final Answer
The man saves **Rs. 3500**.

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