Compute index numbers for the years 2000 to 2005 from the following data (base year 2000).
$\begin{matrix} Year & 2000 & 2001 & 2002 & 2003 & 2004 & 2005 Price & 10 & 14 & 16 & 20 & 22 & 24 \end{matrix}$

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Solution

$\begin{matrix} Year & Price in Rs & Index No \frac{P_{1}}{P_{0}} \times 100 2000 & 10 (= P_{0}) & 100 2001 & 14 & \frac{14}{10} \times 100 = 140 2002 & 16 & \frac{16}{10} \times 100 = 160 2003 & 20 & \frac{20}{10} \times 100 = 200 2004 & 22 & \frac{22}{10} \times 100 = 220 2005 & 24 & \frac{24}{10} \times 100 = 240 \end{matrix}$

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Q. Using

2005

as base year , the price of a commodity in

2006

are 118. Calculate the index number for 2005 if 2006 is taken as the base year.

Q. The index number by the method of aggregates for the year

2010

, taking

2000

as the base year, was found to be

116

. If sum of the prices in the year

2000

is Rs.

300

, find the values of

x

and

y

in the data given below:

Commodity	$A$	$B$	$C$	$D$	$E$	$F$
Price in the year $2000$ (rs.)	$50$	$x$	$30$	$70$	$116$	$20$
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Following is some information regarding a family’s expenditure:

$\begin{matrix} Expenses & Food 40 % & Fuel 10 % & Clothing 15 % & Rent 15 % & Misc 20 % 2000 Prices (Rs) & 2000 & 500 & 1000 & 400 & 300 1990 Prices (Rs) & 1600 & 250 & 600 & 300 & 200 \end{matrix}$

What is the cost of living index of the year 2000 as compared with the year 1990?

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Compute index numbers for the years 2000 to 2005 from the following data (base year 2000). Year200020012002200320042005Price101416202224

YearPrice in RsIndex NoP1P0×100200010(=P0)1002001141410×100=1402002161610×100=1602003202010×100=2002004222210×100=2202005242410×100=240

Compute index numbers for the years 2000 to 2005 from the following data (base year 2000).
$\begin{matrix} Year & 2000 & 2001 & 2002 & 2003 & 2004 & 2005 Price & 10 & 14 & 16 & 20 & 22 & 24 \end{matrix}$