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Solve the following problem : The cost of living index number for year 2000 and 2003 are 150 and 210 respectively. A person earns ₹ 13,500 per month in the year 2000. What should be his monthly earn - Mathematics and Statistics

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Question

Solve the following problem :

The cost of living index number for year 2000 and 2003 are 150 and 210 respectively. A person earns ₹ 13,500 per month in the year 2000. What should be his monthly earning in the year 2003 in order to maintain the same standard of living?

Sum

Solution

For the year 2000,
CLI = 150 and income = ₹ 13,500 

Now, Reall Income = `"Income"/"CLI" xx 100`

= `(13500)/(150) xx 100`

= 90 x 100
= 9,000
Real income = ₹ 9,000
For the year 2003,
CLI = 210
If standard of living is to be maintained, real income in the year 2003 should also be ₹ 9,000.

Real income = `"income"/"CLI" xx 100`

∴ 9000 = `"Income"/"CLI" xx 100`

∴ Income = `(9000 xx 210)/(100)`
= 90 xx 210
= 18,900
∴ In order to maintain the same standard of living as in the year 2000, income in 2003 should be ₹ 18,900.

shaalaa.com
Uses of Cost of Living Index Number
  Is there an error in this question or solution?
Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 94]

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