Question
In an examination, a student who scores 25% of the
maximum marks fails by 15 marks. Another student who scores 35% of the maximum marks gets 25 marks more than the pass marks. Find the maximum marks.Solution
Let maximum marks = M Let pass marks = P First student: 25% of M = P − 15 0.25M = P − 15 …(1) Second student: 35% of M = P + 25 0.35M = P + 25 …(2) Subtract (1) from (2): 0.35M − 0.25M = (P + 25) − (P − 15) 0.10M = 40 M = 40 / 0.10 = 400 Now from (1): 0.25 × 400 = P − 15 100 = P − 15 P = 115 Answer: Maximum marks = 400
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