In an exam, there are 35 questions. Each correct
answer, each wrong answer and each unanswered
question carries 5 points, 0 points and 1 point
respectively. Had each correct answer, each wrong
answer and each unanswered question carried
4, – 1 and 0 points respectively, the number of
points a student would score in the exam is 25. Find
the actual number of points that he would score in
the exam.
As per the solution : If the marks for each correct, each wrong and each
unanswered question were 4, –1, 0 respectively he would
have got 25 marks. But he actually got 5, 0, 1 marks
respectively. i.e., for each question, he actually got 1 mark
more. There were 35 questions. His actual score
= 25 + 35 = 60.
I didn't understand how they have only considered above that he gets 1 mark more for each right question but totally ignored the variation in marks for the other two namely unanswered and wrong.