17. After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005. The old index numbers were:
(2000=100) (2005=100)
1998 90 A
1999 96 B
2000 100 C
2001 105 D
2002 110 E
2003 120 F
2004 110 G
2005 80 H
2006 140 I
Find the values of A to I in the table.
To find the values of A to I in the table, we first need to calculate the new index numbers using the base year of 2005.
The formula to calculate the new index number is:
New Index Number = (Old Index Number / Old Base Year) x New Base Year
Using this formula, we can calculate the new index numbers for each year:
A = (90/100) x 2005 = 1809
B = (96/100) x 2005 = 1924
C = (100/100) x 2005 = 2005
D = (105/100) x 2005 = 2105
E = (110/100) x 2005 = 2206
F = (120/100) x 2005 = 2406
G = (110/100) x 2005 = 2206
H = (80/100) x 2005 = 1604
I = (140/100) x 2005 = 2807
Therefore, the values of A to I in the table are:
A = 1809
B = 1924
C = 2005
D = 2105
E = 2206
F = 2406
G = 2206
H = 1604
I = 2807