Question

The marks scored by a boy in three subjects are in the ratio 3 : 5 : 7. Boy scored an overall aggregate of 70% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 75% 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 = 70% of (100 + 100 + 100) = 70% of (300) = 210
Also, 75% marks in a subject correspond to 75% of (100) = 75
Let a boy have scored 3x, 5x and 7x in the three subjects.
∴ 3x + 5x + 7x = 210
∴ 15x = 210 i.e. x = 14
Hence, his marks in the three subjects are 42, 70 and 98.
Hence, he has scored more than 75 in exactly two subject.

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