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Home Questions 73HGN7V863
Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Construct index number of price from the following date by using Paasche's method:

Commodities

2015

2016

 

Price (₹)

Qty (Kg.)

Price (₹)

Qty (Kg.)

A

2

8

4

6

B

5

10

6

5

C

4

14

5

10

D

2

19

2

15
Options:

125.23

120.15

128.40

140.30

Correct Answer:

125.23

Explanation:

The correct answer is Option (1) → 125.23

 Commodities

$p_0$​

$q_0$​

$p_1$​

$q_1$​

$p_0​q_0$​

$p_1​q_0$​

$p_0​q_1$​

$p_1​q_1$​

A

2

8

4

6

16

32

12

24

B

5

10

6

5

50

60

25

30

C

4

14

5

10

56

70

40

50

D

2

19

2

15

38

38

30

30

Total

 

 

 

 

$\sum p_0q_0 = 160$

$\sum p_1q_0= 200$

$\sum p_0q_1= 107$

$\sum p_1q_1= 134$

Paasche's Method:

$P_{01} = \frac{\sum p_1q_1}{\sum p_0q_1} \times 100 = \frac{134}{107} \times 100 = 125.23 \text{}$

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