The weight of a person 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?
A. 44
B. 48
C. 40
D. 50
Answer: Option C
Solution(By Examveda Team)
Let, number of peoples in group = xAverage = n
⇒ nx - 63 + 83 = n(x + 500 gm)
⇒ nx + 20 = nx + $$\frac{{\text{n}}}{2}$$ kg
⇒ n = 20 × 2
⇒ n = 40
OR
$$\eqalign{ & {\text{Average}} = \frac{{{\text{Sum}}}}{{{\text{Number}}}} \cr & 500\,{\text{gm}} = \frac{{20}}{n} \cr & \frac{1}{2} = \frac{{20}}{n} \cr & n = 40 \cr} $$
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