In a survey of a group of farmers 60%do buffalo farming 55% do cow farming and 35% do both find % of farmer who do not do buffalo farming and cow farming

 Class ten some maths set question unit 1 

 In a survey of a group of farmers 60%do buffalo farming 55% do cow farming and 35% do both find % of farmer who do not do buffalo farming and cow farming .

 Solution :

 Let n(s) denotes the total % = 100%  (In percentages)

 Let, buffalo farmer denoted by n(B)=60%

 And cow farmer denotes by n(C)=55%

 Now n(BnC)= 35 % When both like =(BnC) 

NOW no(A)= n(A)-n(AnB)=60-35 =25

 NOW no(B)= n(B)-n(AnB)=55-35=20

 We have

 no(A)+no(B)+n(AnB)+n(AuB)=n(u) 

25+20+35+ n(AuB)=100 

n(AuB)=20%

 so 20 % are do not do any works