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 the total monthly income of the man be Rs $x$.

First, we determine the amount spent on rent and the remaining income:
Amount spent on rent = $30\%\text{of}x=0.3x$
Remaining income = $x-0.3x=0.7x$

Next, we calculate the savings from the remaining income:
The man spends 50% of the remaining income on travelling, which means he saves the other 50% of the remaining income.
Savings = $50\%\text{of}0.7x$
Savings = $0.5\times 0.7x=0.35x$

We are given that his savings are Rs 7000. We can set up the equation:
$0.35x=7000$

Now, we solve for $x$:
$x=\frac{7000}{0.35}$
$x=\frac{700000}{35}$
$x=20000$

Therefore, his monthly income is Rs 20000.