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Cardinality of Sets

In a class of...

Question

In a class of $50$ students, a student who gets $135$ marks, gets failed by $15$ marks. If pass percentage is $30$ , find out the maximum marks.

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Solution

The required pass percent is 30 and the required passing marks are 150.
Now, 30(%) : 100 = 150 : M.M
Passing Maximum Passing
marks marks marks
Here M.M. is the maximum marks for which required passing marks are 150.
$∴ M . M . = \frac{100 \times 150}{30} = 500$

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