Question
The marks scored by a student in three subjects are in
the ratio 4 : 5 : 6. Student scored an overall aggregate of 40% in the exam. If the maximum marks in each subject are the same, in how many subjects did student score more than 55% marks?Solution
Let the maximum marks in each subject be 100. ∴ Student's total score = 40% of (100 + 100 + 100) = 0.4(300) = 120 Also, 55% marks in a subject means 0.55(100) = 55 marks Let student have scored 4x, 5x and 6x in the three subjects. ∴ 4x + 5x + 6x = 120 ∴ 15x = 120     x = 8 Hence, marks in the three subjects are 32, 40 and 48. Hence, in none subject student score more than 55% marks.
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