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Index Numbers — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsIndex Numbers6 Marks
Question
Construct index number of 2015 from the given data by the simple aggregative method and the simple average of relative method.
Commodity
A
B
C
D
E
F
Price In 2015 (₹)
10
18
16
14
12
17
Price in 2010 (₹)
8
15
12
10
8
12.5
✓

Answer

Consturction of Index Number:
Commodity
Price in 2010 (₹)($p_0$​​​​​​​)
Price in 2015 (₹)$(P_1)$
$\text{I}\bigg(\frac{\text{p}_1}{\text{p}_0}\times100\bigg)$
A
8
10
125
B
154
18
120
C
12
16
133.3
D
10
14
140
E
8
12
150
F
12.5
17
136
n = 6
$\Sigma\text{p}_0=65.5$
$\Sigma\text{p}_1=87$
$\Sigma\text{I}=804.3$
  1. Simple Aggretive Methode:
$\text{P}_{01}=\frac{\Sigma\text{p}_1}{\Sigma\text{q}_0}\times100=\frac{87}{65.5}\times100=132.8$
  1. Simple Avrage of Relative Methode:
$\text{P}_{01}=\frac{\Sigma\text{I}}{\text{n}}=\frac{804.3}{6}=134.05$

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