In an examination, the ratio of passes to failures was 4 : 1. Had 30 less appeared and 20 less passed, the ratio of passes to failures would have been 5 : 1. Find the number of students who appeared for the examination.
A
260
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B
112
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C
2166
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D
150
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Solution
The correct option is D150 Letthepass:fail=4:1Iffailstudents=x,passstudents=4xTotalstudents=5xIf30lessappearedand20lesspassed..Studentsappearing=5x−30Studentspassing=4x−20Studentsfailing=5x−30−(4x−20)=x−104x−20:x−10::5:14x−20=5(x−10)4x−20=5x−50x=30Studentsfailing=30Studentspassing=4x=120Totlastudents=5x=150