A survey of n people in the town of X found that 50% of them prefer Brand A. Another survey of 100 people in the town of Y 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 ? 

A  250 

B  200 

C  170 

D  150 

Solution

Correct Answer: Option B

Solution: 

যদি Total number of people in survey = x হয় তবে A = 100 - x 

 প্রশ্নমতে, (100 - x)  50% + (100 \( \times \) 60%) = x \( \times \) 55%  

  => 5000 - 50x + 6000 = 55x  

 => 11000 = 105x                      x = 200 

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