index no maths glo

INDEX NUMBER
1) For Each of the following examples, find price index number using simple aggregate method.
a)
COMMODITY
P
PRICE (in Rs.)
10
In 1995
Price (in Rs.)
32
In 2000
Use 1995 as base year.
Q
25
R
14
S
20
T
30
40
20
45
70
b)
COMMODITY
PRICE (in Rs.)
For year 2003
800
1875
550
3500
Watch
Shoes
sunglasses
mobiles
Consider year 2003 as base.
Price (in Rs.)
For year 2006
1675
2200
970
7500
2) Find Quantity Index Number, Using simple Aggregate method.
Commodity
I
II
III
IV
V
Base Year
Quantities
170
150
100
195
205
Current Year
Quantities
90
70
75
150
95
3) Calculate the value index number using simple aggregate method.
commodity
A
B
C
D
E
Base year
price
30
40
10
50
20
Base year
quantity
13
15
12
10
14
Current year
price
40
70
60
90
100
Current year
quantity
15
20
22
18
16
4) Find x if the Price index number by simple Aggregate method is 125
COMMODITY
BASE YEAR
PRICE (IN Rs.)
Current year
price (in Rs.)
P
10
Q
8
R
12
S
24
T
18
14
10
x
28
22
5) Calculate Laspeyer's Paasche’s,
Dorbish-Bowley's And Marshall Edgeworth’s Price index number.
a)
commodity
A
B
C
D
Base year
price
8
7
3
2
Base year
quantity
20
10
30
50
Current year
price
11
12
5
4
Current year
quantity
5
10
20
15
Base year
price
10
20
30
40
Base year
quantity
9
5
7
8
Current year
price
50
60
70
80
Current year
quantity
8
4
3
2
Base year
quantity
16
16
28
Current year
price
3
2
7
Current year
quantity
9
4
7
b)
commodity
I
II
III
IV
6) Calculate Walsch’s Price index number.
commodity
L
M
N
Base year
price
4
6
8
7) If P01 (L)=90 and P01 (P)= 40, Find P01 (D-B) and P01 (F).
8) Given that ∑p0q0 = 220, ∑p0q1 = 380, ∑p1q1 = 350 and Marshall Edgeworth's Price Index Number is
150.
Find Laspeyre's Price Index Number.
9) Calculate the cost of Living index.
a)
Group
Food
Clothing
Fuel & Lighting
House Rent
Miscellaneous
Base year
price
120
150
130
160
200
Base year
quantity
15
20
30
10
12
Current year
price
170
190
220
80
100
Base year
price
40
30
20
60
70
Base year
quantity
5
10
17
22
25
Current year
price
20
35
10
10
8
b)
Group
Food
Clothing
Fuel & Lighting
House Rent
Miscellaneous
10) Find x, if cost of living index is 150.
Group
Food
Clothing
Fuel & Lighting
House Rent
Miscellaneous
I
180
120
300
200
160
W
4
5
6
x
3
11) Find y, if cost of living index is 200.
Group
Food
Clothing
Fuel & Lighting
House Rent
Miscellaneous
I
180
120
160
300
200
W
4
5
3
y
2