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Standard XII

Mathematics

Venn Diagram

A survey show...

Question

A survey shows that 67% of people like P1 whereas 73% like P2 if x% of people like both the P1 and P2 then the value of x is ?

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Solution

LET 100% BE THE UNIVERSE OF THE GIVEN SET
A.T.Q

n(a)=67%

n(b)=73%

n(a intersection b)=x%

to find :- x

solution:-

100%=(67%+73%)-x%

100% = (140)%-x%

100%-140%= -x%

(100-140)%= -x%

=> -40% = -x%

= 40% = x%

percent get cancel with other percent

therefore, x =40

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A survey shows that 67% of people like P1 whereas 73% like P2 if x% of people like both the P1 and P2 then the value of x is ?

LET 100% BE THE UNIVERSE OF THE GIVEN SET A.T.Q n(a)=67% n(b)=73% n(a intersection b)=x% to find :- x solution:- 100%=(67%+73%)-x% 100% = (140)%-x% 100%-140%= -x% (100-140)%= -x% => -40% = -x% = 40% = x% percent get cancel with other percent therefore, x =40

LET 100% BE THE UNIVERSE OF THE GIVEN SET
A.T.Q

n(a)=67%

n(b)=73%

n(a intersection b)=x%

to find :- x

solution:-

100%=(67%+73%)-x%

100% = (140)%-x%

100%-140%= -x%

(100-140)%= -x%

=> -40% = -x%

= 40% = x%

percent get cancel with other percent

therefore, x =40