Sure, let's go through the problem step by step to find the answers.
### Given:
- Monthly Earnings of Mr. Shakya: Rs 18,000
- Fraction Spent on Family: [tex]\( \frac{5}{9} \)[/tex]
### (i) How much money does he spend to run his family?
To find the amount of money Mr. Shakya spends to run his family, we need to calculate [tex]\( \frac{5}{9} \)[/tex] of his monthly earnings.
1. Calculate the fraction of the earnings spent:
[tex]\[
\text{Money Spent on Family} = \text{Earnings} \times \frac{5}{9}
\][/tex]
2. Substitute the given values into the formula:
[tex]\[
\text{Money Spent on Family} = 18000 \times \frac{5}{9}
\][/tex]
3. Perform the multiplication:
[tex]\[
\text{Money Spent on Family} = 10000
\][/tex]
So, Mr. Shakya spends Rs. 10,000 to run his family.
### (ii) How much money does he save in a month?
To find out how much money he saves, we need to subtract the amount spent from his total earnings.
1. Calculate the money saved:
[tex]\[
\text{Money Saved} = \text{Earnings} - \text{Money Spent on Family}
\][/tex]
2. Substitute the known values into the formula:
[tex]\[
\text{Money Saved} = 18000 - 10000
\][/tex]
3. Perform the subtraction:
[tex]\[
\text{Money Saved} = 8000
\][/tex]
So, Mr. Shakya saves Rs. 8,000 in a month.
### Summary:
(i) Mr. Shakya spends Rs. 10,000 to run his family.
(ii) Mr. Shakya saves Rs. 8,000 in a month.
