After some consideration it has been decided to change the base year for the fuel index from 2000 to 2005.



(2000=100) (2005=100)
1998 92 A
1999 98 B
2000 100 C
2001 104 D
2002 110 E
2003 118 F
2004 120 G
2005 125 H
2006 115 I


Find the value of G.

137.5


96


145.65


116.5


132.5

1 answer

To find the value of G, we need to first calculate the index number for 2004 (G) using the base year 2005=100.

Given:
2004 index based on 2000=100 is 120
2005 index based on 2005=100 is 125

To find the index number for 2004 based on 2005=100, we can use the formula:
Index number for 2004 = (2004 index based on 2000) * (2005 index based on 2005) / (2005 index based on 2000)

Plugging in the values:
Index number for 2004 = 120 * 125 / 100
Index number for 2004 = 150

Therefore, the value of G (Index number for 2004 based on 2005=100) is 150.