Question

2The marks scored by a student in
three subjects are the ratio of 4:5:6. If the
candidate scored an overall aggregate of
60% of the sum of the maximum marks
and the maximum marks in all three
subjects is same, in how many subjects
did the score more than 60%?
b) 2
d)3
a) 4
c) 1​

Answer 1

Answer:

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(c) 1

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Step-by-step explanation:

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Let the maximum in marks in each of the three subjects be 100.

∴The candidate scored an aggregate of

60% of 3 * 100 = 60% of 300 marks = 180 marks.

Let the marks scored in the three subjects be 4x, 5x, and 6x.

4x + 5x + 6x = 180

15x = 180 or x = 12

∴Marks scored by the candidate in the three subjects are

4*12, 5*12,  and 6*12 = 48, 60, and 72.

Hence, the candidate has scored more than 60% in 1 subject.

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Answer 2

$\huge \bigstar \underline {\color{darkpink} \mathfrak{ answer}} \bigstar$

15x=180 or x=12.

There fore marks scored by candidate in the three subjects are 4*12,5*12 and 6*12 =48,60and72

Hence, the candidate has score more than 60% in one subject