Q12. A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all the papers together, the candidate obtained 60% of the
total marks. Then, the number of papers in which he got more than 50% marks is
(a) 1
(b) 3
(c) 4
(d) 5
Answers
Answer:
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Let the marks obtained in 5 subjects be 6x, 7x, 8x, 9x and 10x Average score = 60%
∴ 6x+7x+8x+9x+10x = 60
5 100
⇒ 40x = 60
5 100
⇒x = 60×5 = 3 =0.075
100×40 40
∴ 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
Answer:
A student took five papers in an examination where the full marks were the same for each papers this marks in these papers were in the proportion 6 : 7 : 8 : 9 : 10 In all the papers together the candidate obtained 60% of the total marks Then the number of papers in which he got more than 50% marks is
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
Step-by-step explanation:
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