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  1. 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
    1. 42
    2. 40
    3. 38
    4. 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 =
40 × 90
= 36
100

∵ B gets 11
1
% marks less than A.
9

∴ Marks secured dy B
36 ×100 - 11
1
=9
100

36 ×
900 - 100
=9
100

= 36 ×
800
×
1
= 32
9100

Total marks obtained by A and B
= 36 + 32 = 68
∵ C gets 41
3
%
17

marks less than the marks obtained by A and B together.
∴ C’s marks
68 ×100 - 41
3
=17
100

68 ×100 -
700
=17
100

68 ×
1000
=17
100

= 68 ×
1000
×
1
= 40
17100



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