Maharashtra State BoardHSC Commerce 12th Board Exam
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Given the following table, find the Cost of living Index Number using Aggregate Expenditure Method by completing the activity. Group p0 q0 p1 p0q0 p1q0 A 23 4 25 □ 100 B 15 5 20 75 □ C 5 9 8 □ 72 D - Mathematics and Statistics

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Given the following table, find the Cost of living Index Number using Aggregate Expenditure Method by completing the activity.

Group p0 q0 p1 p0q0 p1q0
A 23 4 25 `square` 100
B 15 5 20 75 `square`
C 5 9 8 `square` 72
D 12 5 18 60 `square`
E 8 6 13 `square` 78
Total 320 `square`

Therefore, Cost of Living Index using Aggregate Expenditure method is

CLI = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx square`

= `square/square xx 100`

= `square`

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Solution

Group p0 q0 p1 p0q0 p1q0
A 23 4 25 92 100
B 15 5 20 75 100
C 5 9 8 45 72
D 12 5 18 60 90
E 8 6 13 48 78
Total 320 440

Therefore, Cost of Living Index using Aggregate Expenditure method is

CLI = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100`

= `440/320 xx 100`

= 137.5 

Concept: Method of Constructing Cost of Living Index Numbers - Aggregative Expenditure Method
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