Question

In a region, it was observed that 120 people liked only
cricket, 45% of the people liked only football, 5% of the
people liked both cricket and football. 10% of the people
liked neither cricket nor football
How many people like exactly one game?​

Answer 1

Answer:

255 people only like one game.

Step-by-step explanation:

X - (45x/100)-(5x/100)-(10x/100)=120

or 100x-60x=12000

or 40x=12000

or,x =300

therfore people like exactly one game=120+(300★(45/100))=120 +135=255

Answer 2

Given :   120 people liked only cricket, 45% of the people liked only football, 5% of the people liked both cricket and football. 10% of the people liked neither cricket nor football

To Find : How many people like exactly one game

Solution:

Total  = only cricket + only football  +  both  +  neither

=> 100%  = only cricket  + 45%  + 5%  + 10%

=>  only cricket  = 40%

120 people liked only  cricket,

=> 40 %  of total people = 120

=> (40/100)Total  = 120

=> Total = 300

 like exactly one game = only Circket + only football = 45% + 40 % = 85%

or Total - Both - neither = 100% - 5% - 10% = 85%

85 %  of Total  = (85/100) 3  =  255

255 People like exactly one game

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