Subject
Quantitative Aptitude
Topic
Percentage
Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?
Madhu got 32% of the maximum marks in a Bank examination and failed by 8 marks. However, Kumar who took the same examination got 42% of the total marks and got 16 marks more than the cut-off marks. What was the cut-off marks in the examination ?
ক)
76.8খ)
86.8গ)
78.8ঘ)
84.8Explanation
Let 'M' be the maximum marks in the examination. Therefore, Madhu got 32% of M = 32M/100 = 0.32M And Kumar got 42% of M = 42M/100 = 0.42M. In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1) The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2) Now, Equating (1) and (2), we get 0.1M = 24 => M = 24/0.1 = 240 'M' is the maximum mark and is equal to 240 marks. We know that Madhu got 32% of the maximum marks. Therefore, Madhu got 32 x 240/100 = 76.8 marks. We also know that Madhu got 8 marks less than the cut-off marks. Therefore, the cut-off marks will be 8 marks more than what Madhu got = 76.8 + 8 = 84.8.Related questions
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