Discussion
40% is the passing marks in an examination. A student gets 250 marks, yet fails by 38 marks. What is the maximum marks ?
Answer: A
The maximum marks are 720.
The pass mark is what the student scored plus the shortfall, and it equals 40% of the maximum:
\[ \begin{aligned} \text{pass mark} &= 250 + 38 = 288 \\ 0.4 \times M &= 288 \\ M &= 720 \end{aligned} \]
Check: 40% of 720 is 288. 760, 820 and 850 would need pass marks of 304, 328 and 340, so a student with 250 would fail by more than 38 marks.
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