Question : A person's weight was entered incorrectly as 83 kg instead of 63 kg. As a result, the average weight of a group of people increased by 500 gm. What is the total number of people in the group?
Option 1: 44
Option 2: 48
Option 3: 40
Option 4: 50
Correct Answer: 40
Solution :
Let the total number of people be $x$.
The total increase in average weight of people = $x \times\frac{500}{1000}$ kg = $\frac{x}{2}$ kg
Also, the total increase in average weight of people = 83 – 63 = 20 kg
So, $\frac{x}{2} = 20$
$\therefore x = 40$
Hence, the correct answer is 40.
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