Question

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​

Answer 1

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..