The ratio of marks obtained by two students A and B is 6 ∶ 5. The sum of their marks is 440. If the average of their percentage marks is 55, then the maximum marks for which the examination was conducted were:
- A250
- B300
- C350
- D400
Solution & Step-by-step Explanation
Let the maximum marks for the examination be T per student.
The total marks obtained by A and B combined is 440.
The average percentage score of A and B is given as 55%.
Therefore, the total percentage score obtained by both together is:
Total Percentage=55%×2=110%
This means that the sum of their marks (440) is equivalent to 110% of the maximum marks (T):
T
440
×100=110
T
440
=1.1
T=
1.1
440
=400
The total marks obtained by A and B combined is 440.
The average percentage score of A and B is given as 55%.
Therefore, the total percentage score obtained by both together is:
Total Percentage=55%×2=110%
This means that the sum of their marks (440) is equivalent to 110% of the maximum marks (T):
T
440
×100=110
T
440
=1.1
T=
1.1
440
=400