(লিখিত প্রশ্ন) Problem Solving (Show your Calculations / steps): 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 Angle 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 150

B 200

C 250

D 280

Solution

Correct Answer: Option B

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

প্রশ্নমতে, (100 - x) x 50%+ (100 x 60%)
           ⇒ 5000 - 50x + 6000 = 55x [সব পক্ষ থেকে % বাদ দিয়ে]
           ⇒ 11,000 = 105x
             ∴ x = 200

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