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In an examination, 40% marks are required to pass. A obtains 10% less than the number of marks required to pass. B obtains
11 1 % less than A and C, 9 41 3 17
per cent less than the number of marks obtained by A and B together. Marks obtained by C is
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- 42
- 40
- 38
- 36
Correct Option: B
Suppose the maximum marks = 100
∴ Marks required to pass = 40
∵ A gets 10% less than pass marks.
∴ Marks secured by
A = | = 36 | 100 |
∵ B gets 11 | % marks less than A. | 9 |
∴ Marks secured dy B
36 × | 100 - 11 | ||||
= | 9 | ||||
100 |
36 × | |||||
= | 9 | ||||
100 |
= 36 × | × | = 32 | ||
9 | 100 |
Total marks obtained by A and B
= 36 + 32 = 68
∵ C gets 41 | % | 17 |
marks less than the marks obtained by A and B together.
∴ C’s marks
68 × | 100 - 41 | ||||
= | 17 | ||||
100 |
68 × | 100 - | ||||
= | 17 | ||||
100 |
68 × | ||||
= | 17 | |||
100 |
= 68 × | × | = 40 | ||
17 | 100 |