The average sales of an electronics shop in the years 2001, 2002, 2003, and 2004 is Rs.1850, and that for the years 2002, 2003, 2004, and 2005 is Rs.2125. If the sales in 2005 were Rs.1200, then find the sales in 2001.(in Rs.)
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is Option 4 i.e. 100.
We know that,
Average = Sum of observations/Number of observations
Now,
The average sales in the years 2001, 2002, 2003, and 2004 = Rs.1850
The sum of sales = 1850 × 4 = Rs.7400
The average of sales in the years 2002, 2003, 2004, and 2005 = Rs.2125
The sum of sales = 2125 × 4 = Rs.8500
If the sales in 2005 = Rs.1200
The sum of sales for the years 2001 and 2005 = 8500 - 7400 = Rs.1100
Hence,
The sale for the year 2001 is 1200 - 1100 = Rs.100