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Find x if the Price Index Number by Simple Aggregate Method is 125: Commodity P Q R S T Base Year Price (in ₹) 10 8 12 24 18 Current Year Price (in ₹) 14 10 x 28 22 - Mathematics and Statistics

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प्रश्न

Find x if the Price Index Number by Simple Aggregate Method is 125:

Commodity P Q R S T
Base Year Price (in ₹) 10 8 12 24 18
Current Year Price (in ₹) 14 10 x 28 22
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उत्तर

Commodity Base year price
(in ₹) p0
Current year price
(in ₹) p1
P 10 14
Q 8 10
R 12 x
S 24 28
T 18 22
Total 72 74 + x

From the table, `sum"p"_0` = 72, `sum"p"_1` = 74 + x

P01 = `(sum"p"_1)/(sum"p"_0) xx100`

125 = `(74 + x)/72 xx 100`

∴ `(74 + x)/72 = 125/100`

∴ 74 + x = `5/4 xx 72`

∴ x = 90 – 74

∴ x = 16

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अध्याय 2.5: Index Numbers - Q.4
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