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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]