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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?

A. 8

B. 15

C. 27

D. 35

Answer: Option A

Solution(By Examveda Team)

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%.

This Question Belongs to Arithmetic Ability >> Percentage

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Comments ( 11 )

  1. Uttam Kokate
    Uttam Kokate :
    11 months 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%

  2. Aarav Pardeep
    Aarav Pardeep :
    1 year 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)

  3. Bekelcha Muluneh
    Bekelcha Muluneh :
    1 year ago

    that's right

  4. Israr Engineer
    Israr Engineer :
    1 year 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%

  5. Santanu Dash
    Santanu Dash :
    2 years ago

    8%

  6. Appasani Manishankar
    Appasani Manishankar :
    3 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)

  7. Lazy Dude
    Lazy Dude :
    3 years ago

    Use Set theory the problem will be easier

  8. Upasyo Kushari,
    Upasyo Kushari, :
    4 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

  9. Hari Prasad
    Hari Prasad :
    6 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%

  10. Priyanka Jayachandran
    Priyanka Jayachandran :
    6 years ago

    okay if they give no. students instead of each percentage,ans need to be in percentage means how to solve

  11. Lalit Kumar
    Lalit Kumar :
    8 years ago

    how is it posiable 92%student pass one sub. plese explan it

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