Latest TCS Aptitude Question SOLUTION: A survey of n people in the town of Badaville found that 50 % of them prefer Brand A. Another survey of 100 people in the town of Chottaville found that 60% prefer Brand A. In tota

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A survey of n people in the town of Badaville found that 50 % of them prefer Brand A. Another survey of 100 people in the town of Chottaville found that 60% prefer Brand A. In total, 55% of all the people surveyed together prefer Brand A. What is the total number of people surveyed?

Asked In TCS anuja hore (5 years ago)

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kavya cherukuri  (5 years ago)

the total no of people prefer brand A in Badaville = 0.5n
the total no of people prefer brand A in chottaville = 60
0.5n+60=(n+100)*0.55
n=100
Since n is the no of people surveyed in badaville
therefore total no of people surveyed =200

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Sohom Banerjee  (5 years ago)

let total no. of people in badaville be x
therefore, (50% of x) + (60% of 100) = 55%(100 + x)
=> 0.5x + 60 = 0.55x + 55
=> 0.55x - 0.50x = 60 - 55
=> 0.05x = 5
=> x = 100
therefore, total number of people surveyed is = 100 +100 = 200

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subiksha P.B.  (5 years ago)

200
if 50% of x + 60% of 100=(x+100)of 55%
if we equate this then answer is 200

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