The prices of a pair of shoes in 2003 and 2004 are RM80 and RM96 respectively. Calculate the index in 2004 given that 2003 is the base year.

10090

135I

= 150

The price of a graph book was 90 sen in 1999. Its price became RM1.35 in 2003. Calculate the price index of the graph book in 2003 based on the year 1999.

901999 P 1352003 P

100120

150I

= 125

(i) 100200

150I

= 75

(ii)

The table shows the number of PMR candidates of SMK Bukit Kepayang from 2000 to 2004.

year 2000 2001 2002 2003 2004Number of candicates 120 144 150 168 200

Calculate the index number of 2002 by using

(i) 2000 as base year

(ii) 2004 as base year

The index numbers of a computer in 1995 and 2001 based on the year 1992 are 120 and 150 respectively. If the price of the computer in 2001 was RM4200, find

(a)the price index of the computer in 2001 based on the year 1995,

(b)The prices of the computer in 1992 and 1995.

The index numbers of a computer in 1995 and 2001 based on the year 1992 are 120 and 150 respectively. If the price of the computer in 2001 was RM4200, find

(a) the price index of the computer in 2001 based on the year 1995.

1501001992

20011992/2001

p

PI

1201992/1995 I 1501992/2001 I 42002001 RMP

1201001992

19951992/1995

p

PI

19921995 100

120PP

?1995/2001 I

19922001 100

150PP

1001995

20011995/2001

P

PI 100

1992100120

1992100150

P

P

100120

150 125

The index numbers of a computer in 1995 and 2001 based on the year 1992 are 120 and 150 respectively. If the price of the computer in 2001 was RM4200, find

(a)the price index of the computer in 2001 based on the year 1995.

1201992/1995 I 1501992/2001 I 42002001 P

(a)

28004200%100:

4200%150:

150100

1992

2001

RMP

P

2800%100:

?%120:

1992

1995

RMP

P

33602800%120:

2800%100:

100120

1995

1992

RMP

RMP

1995/2001I

125

10033604200

?1995/2001 I

1501992/2001 I 42002001 P1201992/1995 I

The index numbers of a computer in 1995 and 2001 based on the year 1992 are 120 and 150 respectively. If the price of the computer in 2001 was RM4200, find

(a)the price index of the computer in 2001 based on the year 1995.

42002001 P

(a)

1501001992

2001 P

P

1501004200

1992

P

100150

42001992 P

1995/2001I

125

10033604200

?1995/2001 I

1501992/2001 I1201992/1995 I

1501992/2001 I 1201992/1995 I

1201001992

1995 P

P

1201002800

1995 P

281201995 P

= RM2800= RM 3360

The index numbers of a computer in 1995 and 2001 based on the year 1992 are 120 and 150 respectively. If the price of the computer in 2001 was RM4200, find

(b) The prices of the computer in 1992 and 1995.

1501001992

20011992/2001

p

PI

1201992/1995 I 1501992/2001 I 42002001 P

1251004200

19951995/2001

PI

1995100125

4200P

1501004200

1992

P

33601995 RMP

1992100150

4200P

28001995 RMP

1251995/2001 IForm (a)

1251995/2001 I

The table shows the price per kg of 3 types of fish: P, Q and R in the years 1995 and 1999.

Types

of

fish

Price Price index

in 1999

(base year = 1995)1995 1999

P RM1.20 RM1.60 Z

Q X RM2.30 110

R RM0.60 Y 102

Find the values of x, y and z.

11010030.2

1995/1999 x

I

Q,

x100110

30.2

09.2RMx

10210060.0

y

R,

60.0100

102y

61.0RMy

wrong

RMy 612.0

10020.1

60.1z

P,

31133

Types

of

fish

Price Price index

in 1999

(base year = 1995)1995 1999

P RM1.20 RM1.60 Z

Q X RM2.30 110

R RM0.60 Y 102

i

ii

w

wII

321

332211

www

wIwIwI

I = Index number

w = weightage

i

ii

w

wII

321

332211

www

wIwIwI

Calculate the composite index for the table below.

things index weightage

A 100 4

B 120 2

C 145 4

424

)4(145)2(120)4(100

I

122

a

i

ii

w

wII

321

332211

www

wIwIwI

Calculate the composite index for the table below.

things index weightage

P 105 3

Q 150 4

R 210 5 75.163

b

i

ii

w

wII

321

332211

www

wIwIwI

Calculate the composite index for the table below.

things index weightage

X 110 4

Y 130 8

Z 142 6 56.129

c

20010000.4

00.8AI

15010000.6

00.9BI

31113100

50.7

50.8CI

25.13110000.8

50.10DI

6734

)6(25.131)7(113)3(150)4(200 31

I

20

2830 65

2413141

vegetablesPrice in

1995Price in

1998weightage

A RM 4.00 RM 8.00 4

B RM 6.00 RM 9.00 3

C RM 7.50 RM 8.50 7

D RM 8.00 RM 10.50 6

The table shows the price per kg of four types of vegetables in 1995 and 1998 and the corresponding weightages. By using 1995 as the base year, find

(a) The price index of vegetables A, B, C and D in 1998,

(b) the composite index of 1998.

648

)6(150)4(140)8(105)(120

m

mI

12718

2300120

m

m

22861272300120 mm

127

mm 12012722862300

147 m

2m

150100601997 P

100

601501997

P

90

Things Price index

weightage

Shirt 120 m

Trousers 105 8

Bag 140 4

shoes 150 6

The table shows the price indeices and the weightages of four things in 1997 based on the year 1992. Given that the composite index of 1997 is 127. Calculate

(a) The value of m,

(b) the price of a pair of shoes in 1997 if its price in 1992 is RM 60.

Shoes 150 601992 RMP

componentsPrice in

1998

Price in

2002

Price index in 2002

(1998 is the base year)

(a) x= RM0.60 y=140 z = RM3.30

(b) 143.54 (c)RM358.85

(d) 186.6

90Pw

60Qw

360w

TestTable 4 showe the prices and the price indices of five components P, Q, R, S and T, used to produce a kind of toy.

Diagram 6 shows a pie chart which represents the relative quantity of components used.

componentsPrice(RM)

in 2004Price (RM)

in 2006Price index for the year 2006 based on the year 2004

P 1.20 1.50 125

Q X 2.20 110

R 4.00 6.00 150

S 3.00 2.70 Y

T 2.00 2.80 140

componentsPrice(RM)

in 2004Price (RM)

in 2006Price index for the year 2006 based on the year 2004

P 1.20 1.50 125

Q X 2.20 110

R 4.00 6.00 150

S 3.00 2.70 Y

T 2.00 2.80 140

(a) Find the value of x and of y. [3 marks]

(b) Calculate the composite index for the production cost of the toys in the year 2006 based on the year 2004. [3 marks]

(c)The price of each component increases by 20% from the year 2006 to the year 2008.

Given that the production cost of one toy in the year 2004 is RM55, calculate the corresponding cost in the year 2008.

[4 marks]