Correct Answer - Option 4 : 60
Given:
One student who scored 20 marks more than the other, his score was 60% of the sum of their marks.
Calculation:
Let the students be A and B
Let the marks secured by B = x
Marks secured by A = x + 20
Sum of their marks = x + x + 20 = 2x + 20
Also, x + 20 = 60% of sum of marks
⇒ 0.60 × (2x + 20) = x + 20
⇒ 1.2x + 12 = x + 20
⇒ 0.2x = 8
⇒ x = 8/0.2 = 40 marks
Marks secured by A = 40 + 20 = 60 marks
∴ The correct answer is 60 marks.