Question

The price of six different commodities for years 2009 and year 2011 are as follows: 

Commodities	A	B	C	D	E	F
Price in 2009 (₹)	35	80	25	30	80	x
Price in 2011 (₹)	50	y	45	70	120	105

The Index number for the year 2011 taking 2009 as the base year for the above data was calculated to be 125. Find the values of x andy if the total price in 2009 is ₹ 360.

Answer 1

Commodities	Prices in 2009	Prices in 2011
A	35	50
B	80	y
C	25	45
D	30	70
E	80	120
F	x	105
	`Σ"P"_0` = 360	ΣP1 = 390 + y

Since  `Σ"P"_0` = 360
∴ x + 250 = 360
x = 110

`"P"_1/"P"_0   xx 100 = "P"_1`

`(390 + "y")/(360)  xx 100 = 125`

390 + y = `(125 xx 360)/(100)`

390 + y = 450

y = 60

Hence, the value of x is ₹ 110 and the value y is ₹ 60