Question

in an examination 63% of the candidates passed in English ,65% in maths and 27% failed in both subjects.what percentage of students passed in both subjects

Answer 1

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Answer 2

Answer: There are 55% of students who passed in both subjects.

Step-by-step explanation:

Since we have given that

Percentage of the candidates passed in English = 63%

Percentage of the candidates passed in Maths = 65%

Percentage of the candidates failed in both subjects = 27%

Percentage of the candidates failed in English = 100-63 = 37%

Percentage of the candidates failed in Maths = 100 - 65 = 35%

So, Percentage of the candidates that failed in Maths or English is given by

$37\%+35\%-27\%\\\\=45\%$

So, Percentage of the candidates that passed in both subjects is given by

100%-45% = 55%

Hence, there are 55% of students who passed in both subjects.