Question: A survey of n people in the town of Eros found that 50% of them prefer Brand A. Another survey of 100 people in the town of Angie 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?
Assume no.of people in eros be x.... so its 50/100 of x---->prefer brand A
and no.of people in Angie is 100 (as its given) ...so 60/100 of 100--->60 prefer brand A
now it is 50x/100+60=55(x+100)/100...on solving its 200
A weighted average question. Since the given average of 50% and 60% is 55% (right in the middle), it means the number of people surveyed in Eros (n) is same as the number of people surveyed in Angie.
So n = 100
Total = 100 + 100 = 200
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