Full solution

Q. The monthly salary of a man is Rs.

65000

, one-fifth of his salary is spend paying the rent,

\frac{5}{26}

th of his remaining salary is spent in buying groceries, and half of the rest salary is spent miscellaneous expenses. How much his monthly saving?

Calculate Rent: Calculate the amount spent on rent. $\newline$ One-fifth of the monthly salary is spent on rent. $\newline$ Rent = $(\frac{1}{5}) \times 65000$ $\newline$ Rent = $13000$
Remaining Salary After Rent: Calculate the remaining salary after paying rent. $\newline$ Remaining salary after rent = Monthly salary - Rent $\newline$ Remaining salary after rent = $65000 - 13000$ $\newline$ Remaining salary after rent = $52000$
Calculate Groceries: Calculate the amount spent on groceries. $\newline$ $\frac{5}{26}$ of the remaining salary after rent is spent on groceries. $\newline$ Groceries = $\left(\frac{5}{26}\right) \times$ Remaining salary after rent $\newline$ Groceries = $\left(\frac{5}{26}\right) \times 52000$ $\newline$ Groceries = $10000$
Remaining Salary After Groceries: Calculate the remaining salary after paying for groceries. $\newline$ Remaining salary after groceries = Remaining salary after rent - Groceries $\newline$ Remaining salary after groceries = $52000 - 10000$ $\newline$ Remaining salary after groceries = $42000$
Calculate Miscellaneous Expenses: Calculate the amount spent on miscellaneous expenses. $\newline$ Half of the remaining salary after groceries is spent on miscellaneous expenses. $\newline$ Miscellaneous expenses $= \frac{1}{2} \times$ Remaining salary after groceries $\newline$ Miscellaneous expenses $= \frac{1}{2} \times 42000$ $\newline$ Miscellaneous expenses $= 21000$
Monthly Saving: Calculate the remaining salary after all expenses, which is the monthly saving. $\newline$ Monthly saving = Remaining salary after groceries - Miscellaneous expenses $\newline$ Monthly saving = $42000 - 21000$ $\newline$ Monthly saving = $21000$