a candidate scoring 25 marks in an examination fails by 30 while..., Percentage, General Mathematics

Question:A candidate scoring `25%` marks in an examination fails by `30` marks while another candidate who scores `50%` marks gets `20` marks more than those required to pass. The pass percentage is :

A `25%` 
B `35%` 
C `40%` 
D `50%`

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+ AnswerC

+ ExplanationLet total marks = x

`25% of x + 30`

`= (50% of x) - 20`

`⇒ 25/(100) x + 30`

`= 50/(100) x - 20 ⇒ (x/2 - x/4)`

`= 50`

`⇒ x/4 = 50 ⇒ x = 200.`

:. pass marks

`= (25% of 200) + 30`

`= (25/100 xx 200 + 30)`

`= 80`

:. pass percentage

`= (80/200 xx 100)%`

`= 40%`

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