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Byju's Answer
Standard XI
Statistics
SENSEX and NIFTY
Construct an ...
Question
Construct an index for the year 2016 taking 2011 as base by simple average of price relatives method
Items
P
Q
R
S
Price (in ₹)
30
50
70
90
Price (in ₹)
40
60
80
100
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Solution
Items
Price in 2011
(P
0
)
Price in 2016
(P
1
)
Price Relative
=
p
1
p
0
×
100
P
30
40
133.33
Q
50
60
120
R
70
80
114.29
S
90
100
111.11
Σ
p
1
p
0
×
100
=
478
.
73
Simple Average of Price Relatives
P
01
=
Σ
p
1
p
0
×
100
N
=
478
.
73
4
=
119
.
68
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Similar questions
Q.
Following are the prices of commodities in the year 2011 and 2016. Calculate the price index using price relatives method.
Commodity
Prices in year 2011
Prices in 2016
A
45
55
B
60
70
C
20
30
D
50
75
E
85
90
F
120
130
Q.
Construct index numbers by (aggregative method) based on the price of 2011 from the following figures:
Items
A
B
C
D
E
F
Prices (2011)
200
60
350
100
60
80
Prices (2016)
240
90
600
110
62
90
Q.
Calculate price index number by weighted average of price relative method.
Commodity
Price Base Year
(in ₹)
Price current year
( in ₹)
Quantity Base year
(in Kg)
A
6.0
8.0
40
B
3.0
3.2
80
C
2.0
3.0
2
Q.
Construct Index Number for each year from the following average annual wholesale prices of cotton with 2001 as base .
Year
Wholesale Prices
(in ₹)
Year
Wholesale Prices
(in ₹)
2001
75
2006
70
2002
50
2007
69
2003
65
2008
75
2004
60
2009
84
2005
72
2010
80
Q.
Compute a Price Index for the following by (i) Simple Aggregative Method, and (ii) Average of Price Relative Method:
Commodities
A
B
C
D
E
F
Price in 2004 (₹)
20
30
10
25
40
50
Price in 2018 (₹)
25
30
15
35
45
55
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Standard XI Statistics
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