A student appeared in 6 papers The maximum marks are the same for each paper His marks in these pape...........

Math and Mental Ability Ratio, Proportion

A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?

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Explanation:

Explanation:
Let total marks in each subject be 100.
Therefore, total marks for all 6 subjects = 600
Overall marks scored = 60% of 600 = 360
According to the question,
5x + 6x + 7x + 8x + 9x + 10x = 360
or 45x = 360
or x = 8
So, marks in the given 6 subjects must be:
5 × 8 = 40
6 × 8 = 48
7 × 8 = 56
8 × 8 = 64
9 × 8 = 72
10 × 8 = 80
Hence, in 3 subjects the student has scored less than 60% marks.