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INDEX NUMBER

0

ADDITIONAL

MATHEMATICSMODULE 20

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CHAPTER 11: INDEX NUMBER 

CONTENTS PAGE  

11.1 Conceptual Map 2

11.2 Calculate index number 3

11.3 Calculate price index 5

11.4 Calculate composite index 7

Past Year Question 9

ssessment 15

ns!er 17

1

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Exerci'e 11.2

1. %'e student population o( a Collee M8 increased (rom 1000 students in ear

2005 to 130 students in ear 200. Calculate t'e index number to s'o! c'ane in t'e

student population o( t'e sc'ool in ear 200 usin ear 2005 as t'e base ear.

2. %'e price index o( t!o items (or t'e speci(ic ears are ien in t'e (ollo!in table.

+tem 19951990,100:

19991990 , 100:

19991995,100:

P 125 140 x

Q 135 Y 120

Calculate t'e alues o( x and

11.( Calcla!e )rice index

4

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$xample 1

Exerci'e 11.(:

1. %'e price o( a boo) !as 8M 0.90 in 1999. +ts price became 8M 1.35 in 2003.

Calculate t'e index price o( t'e boo) in 2003 based on t'e ear 1999

2. %'e index number o( t'e mont'l 'ouse rental in ertam rea in ear 2004 based on

5

%'e price index o( a pac)et o( suar !ei'in 1) in ear 200 based on ear

2004 !as 115. +( t'e price o( a pac)et o( t'e suar in a ear 2004 !as 8M 7.00*

(ind t'e price o( a pac)et o( suar in ear 200.

ase ear* 04 P  , 8M 7.00

peci(ic ear * 01 P  , ;

Price +ndex* + ,04

01

 P 

 P x 100

  , 00.7

01 P 

x 100

  01 P   , x

  , 8M .05

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125 5

x 3

C 110 2

%'e composite index in 2000 is 11. &ind t'e alue o( x.

3. >iaram s'o!s a bar c'art !'ic' represent t'e cost o( t'ree components* * * C

%'e composite index is 107. (ind t'e alue o( m

Pa'! ,ear -e'!i+n

2005 Paper 2:

C Component

m

4

Cost

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1. %able 1 s'o!s t'e prices and t'e price indices (or t'e (our inredients P* Q* 8 and

used in ma)in biscuits o( a particular )ind. >iaram 1 is a pie c'art !'ic' represent t'e

relatie amount o( t'e inredients P* Q* 8 and used in ma)in t'ese biscuits.

Inredien!' Price )er / 0 RM Price index +r !3e

4ear 2%%* #a'ed +n

!3e 4ear 2%%1

,ear 2%%1 ,ear 2%%*

P 0.0 1.00   x

Q 2.00   Y  140

8 0.40 0.0 150

  z  0.40 0

  %able 1

>iaram 1

a. &ind t'e alue x* y and

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