A man spends 30% of his monthly income on rent. Out of the remaining income, he spends 50% on travelling and saves the rest. If his savings are Rs 7000, find his monthly income (in Rs).

The correct option is 20000.

Let us solve the problem step-by-step to find the man's monthly income.

Step 1: Define the monthly income
Let the monthly income of the man be $I$ rupees.

Step 2: Calculate the expenditure on rent and the remaining income
The man spends 30% of his monthly income on rent.
Expenditure on rent = $30\%\text{of}I=0.30I$
The remaining income after paying the rent is:
Remaining Income = $I-0.30I=0.70I$

Step 3: Calculate the savings from the remaining income
Out of the remaining income ($0.70I$), he spends 50% on travelling and saves the rest.
Since he spends 50% on travelling, the percentage of the remaining income that he saves is:
Savings percentage = $100\%-50\%=50\%$
Therefore, his savings are 50% of the remaining income:
Savings = $50\%\text{of}(0.70I)=0.50\times 0.70I=0.35I$

Step 4: Equate the savings to the given value and solve for $I$
We are given that his monthly savings are Rs 7000.
$0.35I=7000$
$I=\frac{7000}{0.35}$
$I=\frac{700000}{35}$
$I=20000$

Thus, the monthly income of the man is Rs 20000.