in an examination 35 candidates failed in one subject and 42..., Percentage, General Mathematics

Question:In an examination, `35%` candidates failed in one subject and `42%` failed in another subject while `15%` failed in both the subjects. If `2500` candidates appeared at the examination, how many passed in either subject but not in both ?

A `325` 
B `1175` 
C `2125` 
D None of these

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+ AnswerB

+ ExplanationFailed in 1st subject

`= (35/100 xx 2500)`

`= 875`

Failed in 2nd subject 

`= (42/100 xx 2500)`

`= 1050`

Failed in both 

`= (15/100 xx 2500)`

`= 375.`

Failed in 1st subject only 

`= (875 - 375) = 500`

Failed in 2nd subject only 

`= (1050 - 375)`

`= 675.`

Pleased in 2nd only + Passed in 1st only

`= (675 + 500)`

`= 1175.`

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