Question 53

A student obtained 32% marks and he failed by 6 marks. If he had scored 36% marks, he would have been passed by 2 marks. What is the passing marks(score)?

Solution

Let's assume the passing marks is 'y'.

A student obtained 32% marks and he failed by 6 marks.

32% = (y-6) Eq.(i)

If he had scored 36% marks, he would have been passed by 2 marks.

36% = (y+2) Eq.(ii)

Subtract Eq.(i) by Eq.(ii).

36%-32% = (y+2)-(y-6)

4% = y+2-y+6

4% = 8

1% = 2

So from Eq.(ii), 36% = $$36\times2$$

= 72

(y+2) = 72

y = 72-2

Passing marks = y = 70

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