Question
In an exam, a candidate scored 35% of the total marks
and failed by 45 marks. If he had scored 50% of the total marks, he would have obtained 15 marks more than the pass marks. Find the total marks and the pass marks.Solution
Let total marks = M and pass marks = P. Given: 35% of M = P − 45 50% of M = P + 15 So, 0.35M = P − 45 ...(1) 0.50M = P + 15 ...(2) Subtract (1) from (2): 0.50M − 0.35M = (P + 15) − (P − 45) 0.15M = 60 M = 60 / 0.15 = 400 Now from (2): 0.50 × 400 = P + 15 200 = P + 15 P = 185 Answer: Total marks = 400; Pass marks = 185.
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