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In an examination 80% candidates passed in English and 85% candidates passed in Mathematics. If 73% candidates passed in both these subjects, then what per cent of candidates failed in both the subjects?
Answer & Solution
Correct Answer:
Option
A
Students passed in English = 80%
Students passed in Math's = 85%
Students passed in both subjects = 73%
Then, number of students passed in at least one subject
= (80+85)-73
= 92%. [The percentage of students passed in English and Maths individually, have already included the percentage of students passed in both subjects. So, We are subtracting percentage of students who have passed in both subjects to find out percentage of students at least passed in one subject.]
Thus, students failed in both subjects = 100-92 = 8%.
Students passed in Math's = 85%
Students passed in both subjects = 73%
Then, number of students passed in at least one subject
= (80+85)-73
= 92%. [The percentage of students passed in English and Maths individually, have already included the percentage of students passed in both subjects. So, We are subtracting percentage of students who have passed in both subjects to find out percentage of students at least passed in one subject.]
Thus, students failed in both subjects = 100-92 = 8%.
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Pass E=80% m=85% both=73%
(E-both subject) 80-73=7
(M-both subject) 85-73= 12
73+12+7=92
92-100=8
=8%
let English represented by E
mathematics by M
put valu
=(80+85)-73
=92
number of students which is pass in both subject 92%
fail =total -pass
=100-92
=8%
failed in english-(100-80)%
-20%
passed in maths -85%
failed in maths -(100-85)%
-15%
Total passed -100%-(20+15)%
-100%-35%
-65%
therefore,failed-73%-65%
-8%
ans.percentage-8
maths 85 73 12
eng 80 73 7
total passed in both >>>12+7+73=92%
stu failed in both >>>> 100%-92%=8%