Mr. Dahal earns Rs 8,000 in a week. He spends Rs 450 on food and Rs 125 on transportation everyday from Sunday to Friday in a week.
a) Make a mathematical expression for the above given information.
b) Simplify the expression and find how much money does he save in 6 days?
c) If his expenditure on Saturday is only on food, how much money does he save in a week? 8000 - [2450+125) x64 +450)
d) If a month is of 4 weeks and he has to pay Rs 7,000 as house rent, calculate his monthly income in this month.

### Problem Breakdown:

**Given Information:**
- Mr. Dahal earns Rs 8,000 in a week.
- He spends Rs 450 on food and Rs 125 on transportation **every day** from Sunday to Friday (6 days).
- On Saturday, he spends only Rs 450 on food.

### Part a) Mathematical Expression:

Let:
- \( F = 450 \) (Amount spent on food per day)
- \( T = 125 \) (Amount spent on transportation per day)
- \( E_w \) (Expenditure for 6 days) = \( (F + T) \times 6 \)

Thus, for 6 days (Sunday to Friday), the expression for his total expenditure on food and transportation is:
\[
E_w = (450 + 125) \times 6
\]
For Saturday, his expenditure is only on food, so the total expenditure for the whole week \( E_{\text{total}} \) is:
\[
E_{\text{total}} = E_w + 450
\]
This gives a mathematical expression for his weekly expenditure.

### Part b) Simplify the Expression and Find Savings for 6 Days:

First, simplify the expression for 6 days' total expenditure:
\[
E_w = (450 + 125) \times 6 = 575 \times 6 = 3450
\]
Now, Mr. Dahal's weekly income is Rs 8,000, so his savings in 6 days:
\[
\text{Savings in 6 days} = 8000 - 3450 = 4550
\]

### Part c) Money Saved in a Week:

Now, include the expenditure on Saturday (only food):
\[
E_{\text{total}} = 3450 + 450 = 3900
\]
Thus, his savings in a week:
\[
\text{Savings in a week} = 8000 - 3900 = 4100
\]

### Part d) Monthly Income and House Rent Calculation:

Mr. Dahal earns Rs 8,000 per week, and there are 4 weeks in a month. Therefore, his total monthly income is:
\[
\text{Monthly income} = 8000 \times 4 = 32000
\]
After paying Rs 7,000 as house rent, his remaining amount is:
\[
\text{Remaining after rent} = 32000 - 7000 = 25000
\]

### Summary of Answers:
a) Mathematical expression:
\[
E_w = (450 + 125) \times 6 \quad \text{and} \quad E_{\text{total}} = E_w + 450
\]

b) Savings in 6 days = Rs 4,550

c) Savings in a week = Rs 4,100

d) Remaining amount after rent = Rs 25,000

---

Would you like a detailed breakdown of any part, or have any questions?

**5 Related Questions:**
1. How much does Mr. Dahal spend in total on transportation in a week?
2. If his income increases by 10%, how will his weekly savings change?
3. What would be his savings if his daily food expense rises by 20%?
4. How would the savings change if he spent Rs 600 on food on Saturday instead?
5. If the month has 5 weeks, what will his total income be?

**Tip:** When creating a budget, it helps to break down expenses into daily or weekly amounts like in this example.

Mr. Dahal earns Rs 8,000 in a week. He spends Rs 450 on food and Rs 125 on transportation every day from Sunday to Friday in a week. a) Make a mathematical expression for the above given information. b) Simplify the expression and find how much money does he save in 6 days? c) If his expenditure on Saturday is only on food, how much money does he save in a week? d) If a month is of 4 weeks and he has to pay Rs 7,000 as house rent, calculate his monthly income in this month.

Calculate Mr. Dahal's weekly savings and monthly income based on his daily food and transportation expenses. Learn to form and simplify mathematical expressions, including finding savings in 6 days, weekly savings, and calculating his monthly income after rent. Suitable for Grades 6-8 students.

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