Q.9 The following are the prices of six different commodities for 1989 and 1990. Compute a price index by (i) simple aggregative method and (ii) average of price relative method by using both arithmetic mean and geometric mean, taking 1989 as base. Commodity A C F Price in 1989 ( Rs.) 40 60 20 50 80 100 Price in 1990 ( Rs.) 50 60. 30 70 90 110 Ans. (i) 117.14 (ii) 122.92, 121.70.

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ast
Year
1994
1995
1996
1997
1998
1999
2000
Prices
36
45
56
64
70
80
90
Ans: 100, 125, 155.55, 177.78, 194.44, 222.23, 250.01
Q.8 From the fixed base index numbers given below, prepare chain base index
numbers taking 1990 as base year.
Years
1990 1991
1992 1993 1994
1995
1996 | 1997
1998 1999 2000
Fixed indices
120
116
120
120
137
136
149
156
137
162
149
Ans. 100, 96.67, 103.45, 100, 114.17, 99.27, 109.56, 104.70, 87.82, 118.25, 91.98
Q.9 The following are the prices of six different commodities for 1989 and 1990.
Compute a price index by (i) simple aggregative method and (ii) average of
price relative method by using both arithmetic mean and geometric mean,
taking 1989 as base.
Commodity
A
E
F
Price in 1989 ( Rs.)
40
60
20
50
80
100
Price in 1990 ( Rs.)
50
60.
30
70.
90
110
Ans. (i) 117.14
(ii) 122.92, 121.70.
Q.10 Compute index numbers of prices from the following data taking 1981 as base
and using median as an average:
Transcribed Image Text:ast Year 1994 1995 1996 1997 1998 1999 2000 Prices 36 45 56 64 70 80 90 Ans: 100, 125, 155.55, 177.78, 194.44, 222.23, 250.01 Q.8 From the fixed base index numbers given below, prepare chain base index numbers taking 1990 as base year. Years 1990 1991 1992 1993 1994 1995 1996 | 1997 1998 1999 2000 Fixed indices 120 116 120 120 137 136 149 156 137 162 149 Ans. 100, 96.67, 103.45, 100, 114.17, 99.27, 109.56, 104.70, 87.82, 118.25, 91.98 Q.9 The following are the prices of six different commodities for 1989 and 1990. Compute a price index by (i) simple aggregative method and (ii) average of price relative method by using both arithmetic mean and geometric mean, taking 1989 as base. Commodity A E F Price in 1989 ( Rs.) 40 60 20 50 80 100 Price in 1990 ( Rs.) 50 60. 30 70. 90 110 Ans. (i) 117.14 (ii) 122.92, 121.70. Q.10 Compute index numbers of prices from the following data taking 1981 as base and using median as an average:
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