We are looking for the minimum possible number of votes that Ramya can get and maximise the number of
votes that Amiya can get.
We can borrow the scenario from the previous question where Ramya runs an attacking campaign, and we
minimised the number of votes she can get.
To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
votes.
And to maximise the number of votes Amiya can get, we will have her run an vigorous issues campaign, which
will give her 2x20% of the votes, that is 40% of the votes. And since Ramya has been running an attacking
campaign, 20% of her votes are transferred to Amiya. 20% of the 20% of the votes which is 4% that were going
to Ramya will now go to Amiya. That will bring up Amiya's tally up to 44% leaving Ramya's tally at 15%.
The difference in the votes will be 44-15=29%.
This is the maximum possible vote difference between the two candidates that is possible.