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Question

Calculate Quantity Index Numbers from the following data by simple aggregative method taking quantity of 2011 as base.
Commodity Quantity (in tons)
2011 2012 2013 2014 2015
A 0.30 0.33 0.36 0.36 0.39
B 0.25 0.24 0.30 0.32 0.30
C 0.20 0.25 0.28 0.32 0.30
D 2.00 2.40 2.50 2.50 2.60

[Quantity Index No. : 2012 = 117.1; 2013 = 125.1; 2014 = 127.3 ; 2015 = 130.5]

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Solution

Commodity Quantity in 2011
(q0)
Quantity in
2012
(q1)
Quantity in
2013
(q2)
Quantity in
2014
(q3)
Quantity in
2015
(q4)
A
B
C
D
0.30
0.25
0.20
2.00
0.33
0.24
0.25
2.4
0.36
0.30
0.28
2.50
0.36
0.32
0.32
2.50
0.39
0.30
0.30
2.60
∑ q0 = 2.75 ∑ q1 = 3.22 ∑ q2 = 3.44 ∑ q3 = 3.5 ∑ q4 = 3.59

q01=Σq1Σq0×100=3.222.75×100=117.1
Thus, quantity index for 2012 is 117.1.
q02=Σq2Σq0×100=3.442.75×100=125.1
Thus, quantity index for 2013 is 125.1.
q03=Σq3Σq0×100=3.52.75×100=127.3
Thus, quantity index for 2014 is 127.3.
q04=Σq4Σq0×100=3.592.75×100=3592.75=130.5
Thus, quantity index for 2015 is 130.5.

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