48% of the total marks is required to pass an examination and 80% to get a First Class with distinction. A student scored 817 marks and failed by 47 marks. How many marks should he secure to get First Class with distinction?

Step 1: Determine the passing marks
The student scored 817 marks and failed by 47 marks. This means the minimum passing mark is:

Passing Marks=817+47=864
Step 2: Find the total marks
We are given that 48% of total marks is required to pass:

48% of Total Marks=864
Total Marks=
0.48
864
​
=
48
86400
​
=1,800
Step 3: Calculate marks needed for First Class with distinction
To get First Class with distinction, a student needs 80% of total marks:

Required Marks=80% of 1,800=0.80×1,800=1,440