In an examination, a student received a score of 505 marks (500 marks plus an additional 5 marks). To determine the pass marks which are set at [tex]\(40\%\)[/tex] of the total marks, we follow these steps:
1. Total Marks Obtained by Student:
- The student’s total score is [tex]\(505\)[/tex] marks.
2. Pass Percentage:
- The pass percentage required is [tex]\(40\% \)[/tex].
- Converting this percentage into decimal form: [tex]\( 40\%\ = 0.4\)[/tex].
3. Calculate Pass Marks:
- The pass marks can be found by multiplying the total marks by the pass percentage.
- Therefore, [tex]\( \text{Pass Marks} \ = 505 \times 0.4 \)[/tex].
Taking these numbers into account, we find that:
- The student received [tex]\(505\)[/tex] marks.
- The pass percentage is [tex]\(0.4\)[/tex] (or [tex]\(40\%\)[/tex]).
- The pass marks are [tex]\(202\)[/tex] marks.
Thus, a score of at least [tex]\(202\)[/tex] marks is needed to pass the examination, given the total and the passing percentage.
