Question

in examination 35% of the total students failed in Hindi 45% failed in English and 20% in both the percentage of those who passed in both the subjects is

Answer 1

Let's begin by determining the % failed for each subject alone (total % failed in each subject -

% failed in both subjects):

    % failed Hindi alone = 35% - 20% = 15%

    % failed English alone = 45% - 20% = 25%

 

Next, let's determine the total % failed for both subjects (sum of % failed for each subject alone):

    total % failed = 15% + 25% = 40%

 

Next, let's determine the total % passed for both subjects (100% - total % failed):

    total % passed = 100% - 40 % = 60%

 

Next, let's determine the total % passed in each subject (100% - total % failed in each subject):

    total % passed Hindi = 100% - 35% = 65%

    total % passed English = 100% - 45% = 55%

 

Now we can write an equation to solve for % passed in both subjects (sum of total % passed in each subject - % passed in both subjects (x) = total % passed for both subjects):

    (65% - x) + (55% - x) = 60%

    120% - 2x = 60%

    2x = 120% - 60%

    2x = 60%

    x = 60%/2

    x = 30% (passed in both subjects)

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Answer 2

Answer:

percentage of students who passed in both subjects=40%

Step-by-step explanation:

percentage of students who failed in hindi=35%

percentage of students who failed  in english=45%

percentage of students who failed in both=20%

so,to find the percentage of students who failed only in hindi we subtract 20 from 35 (because 20% of the students failed  both) which gives us 15%

similarly subtracting 20 from 45 we get 25% so,

the percentage of students who failed only in hindi=15%

the percentage of students who failed only in english=25%

when we add 15%+20%+25%=60%

so 60% is the total percentage of the students who failed the exams

subtracting 60%form 100% we get 40% which is the percentage of students who passed in both subjects.

hope it helps!