Question

A student secures 38% of the total marks in an
exam and gets 18 marks more than the pass mark.
A second student secures 27% of the total marks in
the same exam and fails by 37 marks. What is the
pass mark as a percentage of the total marks?
34.4​

Answer 1

Let x=Total marks

Let y=Passing marks

38% of Total marks=Passing marks+18 (given)

(38/100)*x=y+18………(1)

27% of Total marks=y-37 (given)

(27/100)*x=y-37……….(2)

From equation 1&2

0.38x=y+18

0.27x=y-37

Solving.

X=500 & Y=172

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