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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 subjects has the same maximum marks, in how many subjects did he pass the exam?

- $2$
- $3$
- $4$
- $5$

+2 votes

Best answer

Let the maximum marks of each subject be 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.

**Option C is the Correct Answer.**

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