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Home/Practice questions/Applied Maths. Section B2
Applied Maths. Section B2Index Numbers and Time Based Data

Compute Marshall Edgeworth Ideal Index No. Commodities Price (₹) Valu…

Compute Marshall Edgeworth Ideal Index No.

Commodities

Price (₹)

Value

Price (₹)

Value

 

2008

2010

A

5

40

8

40

B

8

64

12

168

C

10

120

22

132

D

12

144

26

208

E

16

288

20

300

Answer & explanation+

Correct answer: option 1

The correct answer is Option (1) → 191.52

For calculating base period and current period quantity we divide value by price.

 Commodity

$p_0$​

$q_0$​

$p_1$​

$q_1$​

$p_1​q_0$​

$p_0​q_0$​

$p_1​q_1$​

$p_0​q_1$​

A

5

8

8

5

64

40

40

25

B

8

8

12

14

96

64

168

112

C

10

12

22

6

264

120

132

60

D

12

12

26

8

312

144

208

96

E

16

18

30

10

540

288

300

160

 

 

 

 

 

$\sum p_1​q_0= 1276$

$\sum p_0​q_0= 656$

$\sum p_1​q_1= 848$

$\sum p_0​q_1= 453$

Marshall-Edgeworth Method:

$P_{01} = \frac{\sum p_1(q_0 + q_1)}{\sum p_0(q_0 + q_1)} \times 100 = \frac{\sum p_1q_0 + \sum p_1q_1}{\sum p_0q_0 + \sum p_0q_1} \times 100$

$= \frac{1276 + 848}{656 + 453} \times 100 = \frac{2124}{1109} \times 100 = 191.52$

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