In an examination of five subjects, i.e. Mathematics, Science, Social science, History, and Hindi, the maximum marks for each subject were the same. A student obtained marks in the proportion 5:6:7:8:9. If his total scored marks was
7
10
t
h
of the maximum possible total marks, then what was the least percentage of marks he scored in any subject?
40%
50%
60%
70%
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6
Answer:
Let the marks obtained in 5 subjects be 6x, 7x, 8x, 9x and 10x Average score = 60%
∴
5
6x+7x+8x+9x+10x
=
100
60
⇒
5
40x
=
100
60
⇒x=
100×40
60×5
=
40
3
=0.075 ∴ The marks are 0.45, 0.525, 0.6, 0.675 and 0.75,
i.e., 45%,52.5%,60%,67.5% and 75%
∴ Number of papers in which the marks exceed 50 % =4
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