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Question
There are 5 friends in a class who get marks in the ratio 2:3:4:5:6. The maximum marks are the same in each case. The total marks obtained by the 5 are 9/25th the maximum obtainable marks. How many friends got more than 60% of the individual total marks?
There are 5 friends in a class who get marks in the ratio 2:3:4:5:6. The maximum marks are the same in each case. The total marks obtained by the 5 are 9/25th the maximum obtainable marks. How many friends got more than 60% of the individual total marks?
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Solution
The correct option is A 0
Let, the marks of 5 friends be 2x, 3x, 4x, 5x and 6x and the maximum marks = 100F, then
Sum of the five marks = 9/25th of (100F × 5)
20x = 180F
⇒ x = 9F
Marks obtained by 5 friends are 2x = 18F, 3x = 27F, 4x = 36F, 5x = 45F and 6x = 54F respectively
None of the marks is more than 60F.
Hence, option A is the correct answer.
Let, the marks of 5 friends be 2x, 3x, 4x, 5x and 6x and the maximum marks = 100F, then
Sum of the five marks = 9/25th of (100F × 5)
20x = 180F
⇒ x = 9F
Marks obtained by 5 friends are 2x = 18F, 3x = 27F, 4x = 36F, 5x = 45F and 6x = 54F respectively
None of the marks is more than 60F.
Hence, option A is the correct answer.
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