Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Construct price index number from the following data using Laspeyre’s Method.

Commodity

Price

Quantity

Year 2008

Year 2010

Year 2008

Year 2010

P

2

4

8

5

Q

5

6

12

10

R

4

5

15

12

S

2

4

18

20

Options:

132.45

145.93

151.20

160.05

Correct Answer:

145.93

Explanation:

The correct answer is Option (2) → 145.93

Given Data

Commodity

Price 2008 $p_0$​

Price 2010 $p_1$​

Quantity 2008 $q_0$​

Quantity 2010 $q_1$​

P

2

4

8

5

Q

5

6

12

10

R

4

5

15

12

S

2

4

18

20

 

Prepare required calculations

Commodity

$p_0q_0$​

$p_1q_0$​

$p_0q_1$​

$p_1q_1$​

P

16

32

10

20

Q

60

72

50

60

R

60

75

48

60

S

36

72

40

80

Σ

172

251

148

220

 

Laspeyres’ Price Index

$P_L = \frac{\sum p_1 q_0}{\sum p_0 q_0} \times 100$

$P_L = \frac{251}{172} \times 100 = 145.93$