Question

A student gets an aggregate of 60% marks in five subjects in the ratio 10 : 9 : 8 : 7 : 6 if the passing marks are 50% of the maximum marks and each subject has the same maximum marks, in how many subjects did he pass the examination?

Answer 1

Let the full marks of each subject is 100. So,

Total Mark in five subjects = 500.
Student gets 60% aggregate marks i.e. 60% of 500 = 300 marks.

10x + 9x +8x +7x +6x = 300

40x = 300

x = 300/40 = 7.5.
Marks in first subject = 10x = 10 *7.5 = 75.

Marks in second subject = 9x = 9 *7.5 = 67.5

Marks in third subject = 8x = 8 *7.5 = 60.

Marks in fourth subject = 7x = 7 * 7.5 = 52.5

Marks in last subject = 6 *7.5 = 45.
Thus, he passed in 4 subjects.