An exam is conducted for 600 marks.
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An exam is conducted for 600 marks. Ramesh scores 200 marks and fails by 40 marks. If Suresh scores 60% more than Ramesh, how many more marks than passing marks did he score?
Show answer & explanation
Ramesh fails by 40 marks, so the passing marks are 200 + 40 = 240. Suresh scores 60% more than Ramesh: 200 + (0.60 × 200) = 200 + 120 = 320 marks. Suresh scores 320 − 240 = 80 marks more than the passing marks.
Step-by-step Derivation:
Step 1: Find passing marks.
Ramesh scores: 200 marks
Ramesh fails by: 40 marks
Passing marks = 200 + 40 = 240 marks
Step 2: Calculate Suresh's score.
Suresh scores 60% more than Ramesh
Suresh's score = Ramesh's score + (60% of Ramesh's score)
Suresh's score = 200 + (0.60 × 200)
Suresh's score = 200 + 120 = 320 marks
Step 3: Find how many marks more than passing marks Suresh scored.
Marks more than passing marks = Suresh's score − Passing marks
Marks more than passing marks = 320 − 240 = 80 marks
Answer: B) 80