Question:
In an examination, a student scored 65% marks but was 20 marks below the qualifying marks. Another student scored 80% marks and scored 10 marks more than the qualifying marks. Total marks of the examination are:
A300
B500
C200
D400
Answer:
C. 200
Explanation:
Marks scored by one student = 65% Marks scored by another student = 80% Let the total marks be = A Qualifying marks of one student = 65% of A + 20 Qualifying marks of another student = 80% of A - 10 65% of A + 20 = 80% of A - 10 ⇒ 65/100 × A + 30 = 80/100 × A 30 = 80A/100 - 65A/100 15A/100 = 30 ⇒ A = 200