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Worked Examples · Example 2

Q.A worker's nominal (money) wage was Rs. 8,000 per month in Year 1, when the price index (base year) stood at 100. By Year 2, the price index had risen to 125, and the worker's nominal wage was raised to Rs. 10,000 per month. Calculate the worker's real wage in Year 2 (expressed in Year-1 rupees), and state whether the worker is economically better off, worse off, or exactly as well off as in Year 1.

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The real wage adjusts the nominal wage for the change in the general price level, using the formula:

Real Wage=Nominal WagePrice Index×100\text{Real Wage}=\dfrac{\text{Nominal Wage}}{\text{Price Index}}\times100

Substituting the Year-2 figures:

Real Wage (Year 2)=10,000125×100=Rs. 8,000\text{Real Wage (Year 2)}=\dfrac{10{,}000}{125}\times100=\text{Rs. }8{,}000

This Rs. 8,000 real wage is expressed in Year-1 rupees (since the price index is 100 in Year 1, the base year), and it is EXACTLY equal to the worker's actual Year-1 nominal wage of Rs. 8,000. In other words, although the worker's nominal wage rose by 25% (from Rs. 8,000 to Rs. 10,000), the price level ALSO rose by exactly 25% (from an index of 100 to 125), so the two increases cancel out precisely, and …

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