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Given the following data- Year CPI of industrial workers (1982 = 100) CPI of agricultural labourers (1986-87 = 100) WPI Comment on the relative values of the index numbers. - Economics

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Question

Given the following data-

Year CPI of industrial workers (1982 = 100) CPI of agricultural labourers (1986-87 = 100) WPI (1993-94 = 100)
1995-96 313 234 121.6
1996-97 342 256 127.2
1997-98 366 264 132.8
1998-99 414 293 140.7
1999-00 428 306 145.3
2000-01 444 306 155.7
2001-02 463 309 161.3
2002-03 482 319 166.8
2003-04 500 331 175.9
 
Comment on the relative values of the index numbers.
Sum

Solution

(a)

Year

CPI of Industrial

Workers

(1982 = 100)

Inflation Rate

(in %) = 

`(A_2 - A_1)/A_1 xx 100`

1995-96

313

`(313 - 100)/100 xx 100 = 213`

1996-97

342

`(342 - 100)/100 xx 100 = 242`

1997-98

366

`(366 - 100)/100 xx 100 = 266`

1998-99

414

`(414 - 100)/100 xx 100 = 314`

1999-00

428

`(428 - 100)/100 xx 100 = 328`

2000-01

444

`(444 - 100)/100 xx 100 = 344`

2001-02

463

`(463 - 100)/100 xx 100 = 363`

2002-03

482

`(482 - 100)/100 xx 100 = 382`

2003-04

500

`(500 - 100)/100 xx 100 = 400`

(b)

Year

CPI of Agricultural Labourers

(1986-87 = 100)

Inflation Rate (in %) = `(A_2 - A_1)/A_1 xx 100` 

1995-96

234

`(234 - 100)/100 xx 100 = 134`

1996-97

256

 

`(256 - 100)/100 xx 100 = 156`

1997-98

264

`(264 - 100)/100 xx 100 = 164`

1998-99

293

`(293 - 100)/100 xx 100 = 193`

1999-00

306

`(306 - 100)/100 xx 100 = 206`

2000-01

306

`(306 - 100)/100 xx 100 = 206`

2001-02

309

`(309 - 100)/100 xx 100 = 209`

2002-03

319

`(319 - 100)/100 xx 100 = 219`

2003-04

331

`(331 - 100)/100 xx 100 = 231`

(c)

Year 

WPI

(1993-94 = 100)

Inflation Rate (in %) 

= `(A_2 - A_1)/A_1 xx 100` 

1995-96

121.6

`(121.6 - 100)/100 xx 100 = 21.6`

1996-97

127.2

`(127.2 - 100)/100 xx 100 = 27.2`

1997-98

132.8

`(132.8 - 100)/100 xx 100 = 32.8`

1998-99

140.7

`(140.7 - 100)/100 xx 100 = 40.7`

1999-00

145.3

`(145.3 - 100)/100 xx 100 = 45.3`

2000-01

155.7

`(155.7 - 100)/100 xx 100 = 55.7`

2001-02

161.3

`(161.3 - 100)/100 xx 100 = 61.3`

2002-03

166.8

`(166.8 - 100)/100 xx 100 = 66.8`

2003-04

175.9

`(175.9 - 100)/100 xx 100 = 75.9`

The inflation rate for the industrial workers with the base year 1982 is the highest and WPI with the base year 1993-94 has the least. 

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Types of Index Number - Consumer Price Index
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Chapter 8: Index Numbers - Exercise [Page 120]

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NCERT Statistics for Economics [English]
Chapter 8 Index Numbers
Exercise | Q 21. (i) | Page 120

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Given the following data-

Year CPI of industrial workers (1982 = 100) CPI of agricultural labourers (1986-87 = 100) WPI (1993-94 = 100)
1995-96 313 234 121.6
1996-97 342 256 127.2
1997-98 366 264 132.8
1998-99 414 293 140.7
1999-00 428 306 145.3
2000-01 444 306 155.7
2001-02 463 309 161.3
2002-03 482 319 166.8
2003-04 500 331 175.9
Are they comparable?

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