A student gets 60% of the maximum marks. If he gets 50% more than the passing mark, then the passing mark is what percentage of the maximum marks?

Let the maximum marks be 100.
Calculate the marks obtained by the student:

Marks obtained=60% of 100=60
Relate the obtained marks to the passing marks:
The student's marks are 50% more than the passing mark (P).

Marks obtained=P+50% of P=1.5P
60=1.5P
P=
1.5
60
​
=40
Find the passing mark percentage:
Since maximum marks are 100 and the passing mark is 40, the passing percentage is:

100
40
​
×100=40%
Thus, the passing mark is 40% of the maximum marks.