If a student scores 35% marks in a test then he is failed by 42 marks, but when he scores 48%marks in the same test, he is passed by 62 marks. Find the passing percentage for the test
Answers
Step-by-step explanation:
Let us assume that the maximum marks that can be awarded is 'm'.
The boy scored 35% of the maximum marks.
This means,
(35/100) * m = Marks obtained.
But he fails short by 42 marks to pass the exam
Therefore Mark's required for passing:
Mark's obtained+42
passing marks= (35/100) *m+42
Now if he had scored 48% of the maximum Mark's
I.e.(48/100)*m
He would have cleared his passing Mark's by 62 marks
Passing marks=(48/100) *m- 62
Equating both the values of passing marks
(35/100) * m + 42 = (48/100) *m- 62
Taking like terms on the same sides.
42+62 = (48/100)*m -(35/100)*m
104=(13/100)
(104/13) *100 =m
m=312=maximum Mark's
Now putting this value of 'm' in any of the 2 passing marks equations formed earlier.
Passing marks = (35/100) * m + 42.
= (35/100) * 312 + 42
= 160
Hope it helps..
Thank you..