Let's solve this step by step:
1. Determine Ravi's income:
Ravi's monthly income is Rs 45,000.
2. Calculate household expenses:
Ravi spends \(\frac{3}{5}\) of his income on household expenses. To find out the amount spent on household expenses, we multiply his income by \(\frac{3}{5}\):
[tex]\[
\text{Household expenses} = \left(\frac{3}{5}\right) \times 45000 = 27000
\][/tex]
3. Calculate personal expenses:
Ravi spends \(\frac{2}{9}\) of his income on personal expenses. To find out the amount spent on personal expenses, we multiply his income by \(\frac{2}{9}\):
[tex]\[
\text{Personal expenses} = \left(\frac{2}{9}\right) \times 45000 = 10000
\][/tex]
4. Calculate total expenses:
To find out the total expenses, we add the household expenses and the personal expenses:
[tex]\[
\text{Total expenses} = 27000 + 10000 = 37000
\][/tex]
5. Calculate savings:
To find out the savings, we subtract the total expenses from the monthly income:
[tex]\[
\text{Savings} = 45000 - 37000 = 8000
\][/tex]
Therefore, Ravi's monthly savings are Rs 8,000.
