The average of n number is 45. If 60% of the number are increased by 5 each and the remaining numbers are decreased by 10 each, then what is the average of the number so obtained?
A. 46
B. 42
C. 44
D. 43
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{Average of }}n{\text{ numbers}} = 45 \cr & {\text{Let, }}n = 100 \cr & {\text{New average}} \cr & = \frac{{100 \times 45 + 60 \times 5 - 40 \times 10}}{{100}} \cr & = \frac{{100 \times 45}}{{100}} + \frac{{300 - 400}}{{100}} \cr & = 45 - 1 \cr & = 44 \cr} $$Related Questions on Average
A. 125 km/hr
B. 75 km/hr
C. 135 km/hr
D. 120 km/hr
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