Question

In an examination, 100 marks are distributed among three questions so that they are proportional to 8,5,7. find the marks of each question.

Answer 1

Answer:

we need to assume multiplying factor 'x' and adding 8x,5x and 7x then equate to total marks (100)

Answer 2

Mark of each question is 40, 25 and 35 respectively

Solution:

Given that,

In an examination, 100 marks are distributed among three questions so that they are proportional to 8,5,7

Thus,

Ratio = 8 : 5 : 7

Let the mark of 1st question be 8x

Let the mark of 2nd question be 5x

Let the mark of third question be 7x

Total = 100 marks

Thus, we get,

8x + 5x + 7x = 100

20x = 100

x = 5

Thus,

mark of 1st question = 8x = 8(5) = 40

mark of 2nd question = 5x = 5(5) = 25

mark of third question = 7x = 7(5) = 35

Thus mark of each question is 40, 25 and 35 respectively

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