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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%.
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12 Comments
Mohammed Aiaz
Mohammed Aiaz 1 year ago
Just awesome.
Im grateful to find such kind of apps
Uttam Kokate
Uttam Kokate 4 years ago
Total percentage =100
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%
Aarav Pardeep
Aarav Pardeep 4 years ago
Its so simple out of 100% 80% student passed in English and 85% passed in maths.73% passed in both.it mean out of 100% 73% passed in both,7% passed only in English(80-73) and 12% only in math(85-73).so after that left only 8 student who failed (100-73-7-12)
Bekelcha Muluneh
Bekelcha Muluneh 4 years ago
that's right
Israr Engineer
Israr Engineer 4 years ago
E union M,=(E+M)-(E intersection M)
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%
Santanu Dash
Santanu Dash 5 years ago
8%
Appasani Manishankar
Appasani Manishankar 5 years ago
If price of petrol increases by 35% and Rajesh intends to spend only an additional 25% on petrol, by how much % will he reduce the quantity of petrol purchased?(Approx)
Lazy Dude
Lazy Dude 6 years ago
Use Set theory the problem will be easier
Upasyo Kushari,
Upasyo Kushari, 6 years ago
Passed in english -80%
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
Hari Prasad
Hari Prasad 8 years ago
passed both only passed
maths 85 73 12
eng 80 73 7
total passed in both >>>12+7+73=92%
stu failed in both >>>> 100%-92%=8%
Priyanka Jayachandran
Priyanka Jayachandran 9 years ago
okay if they give no. students instead of each percentage,ans need to be in percentage means how to solve
Lalit Kumar
Lalit Kumar 11 years ago
how is it posiable 92%student pass one sub. plese explan it