During his entire school life, John’s average marks in science was 80% and his average marks in mathematics was 90%. If his combined average marks in science and mathematics was 84%, while the total marks obtained by him in science was 54,000, what was John’s total marks obtained in mathematics?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e.36000
Average marks in science = 80%
Average marks in mathematics = 90%
The whole average = 84%
Marks Obtained in science were 54,000.
Using the concept of allegation -
Science(80%) Mathematics(90%)
84%
(90 - 84) = 6 (84 - 80) = 4
The ratio of marks in Science and Mathematics = 6 : 4 = 3 : 2.
ATQ -
Let the ratio be 3x : 2x.
3x = 54000
x = 18000
2x = 2 × 18000 = 36000