Question

Find x from following data if the Value Index Number is 200.

Commodity	Base Year		Current Year
	Prive	Quantity	Price	Quantity
A	10	10	20	10
B	8	20	22	15
C	2	x	8	10
D	9	10	16	10
E	5	6	3	10

Answer 1

Commodity	Bae yer		Current Year
	Price p0	Quantity q0	Price p1	Quantity q1	p0q0	p1q1
A	10	10	20	10	100	200
B	8	20	22	15	160	330
C	2	x	8	10	2x	80
D	9	10	16	10	90	160
E	5	6	3	10	30	30
Total					380 + 2x	800

Form the table, `sum"p"_0"q"_0` = 380 + 2x, `sum"p"_1"q"_1` = 800

Value Index Number (V₀₁) = `(sum"p"_1"q"_1)/(sum"p"_0"q"_0) xx 100`

∴ 200 = `800/(380 + 2x) xx 100`

∴ 380 + 2x = `800/200 xx 100`

∴ 380 + 2x = 400

∴ 2x = 20 

∴ x = 10