Question

The marks scored by a boy in three subjects are in the ratio 4 : 5 : 3. Boy scored an overall aggregate of 80% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 65% marks?

A One Correct Answer Incorrect Answer
B Three Correct Answer Incorrect Answer
C none Correct Answer Incorrect Answer
D Two Correct Answer Incorrect Answer
E Cannot be determined Correct Answer Incorrect Answer

Solution

Let the maximum marks in each subject be 100.
∴ Total score = 80% of (100 + 100 + 100) = 80% of (300) = 240
Also, 65% marks in a subject correspond to 65% of (100) = 65
Let a boy have scored 4x, 5x and 3x in the three subjects.
∴ 4x + 5x + 3x = 240
∴ 12x = 240 i.e. x = 20
Hence, his marks in the three subjects are 80, 100 and 60.
Hence, he has scored more than 65 in exactly two subject.

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