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The following data are given about the index numbers and weights for the items of living of industrial workers in a city in the year 2014. Find the cost of living index number for industrial workers. If the average monthly salary paid to these workers in the year 2012 was ₹ 6,000, what should be the monthly salary in the current year 2014 to maintain the same standard of living?

Group Food Fuel and electricity Housing Clothing Miscellaneous expenses
price index of 2104 255 174 234 153 274
Weight 42 8 12 18 20

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Cost of living index number for industrial workers

\(I= \frac{ΣIW}{ΣW} \)

\(=\frac{23144}{100} = 231.44\)

Base year = 2012

There is (231.44 – 100 =) 131.44% increase in the cost of living expenditure in 2014 as compared to the base year 2012.

The average monthly salary of the workers in the year 2012 is ₹ 6,000.

∴ The average monthly salary in the current year 2014 to maintain same standard of living

\(= \frac{Current \,year’s \,( i.e. 2014) cost\, of \,living \,index \,number} {Base \,year’s \,(i.e. 2012) \,cost \,of \,living\, index \,number} × Average\,salary\, in the \,year \,2012\)

\(= \frac{231.44}{100 }× 6000 = ₹ 13886.40\)

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