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Exercises · Q10
Q.

From the following group weights and price relatives, calculate the Consumer Price Index Number (Cost of Living Index) for the current year:

GroupWeight (WW)Price Relative (PRPR)
Food40130
Clothing15120
Fuel & Lighting10150
Housing20110
Miscellaneous15125
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Step 1 — Compute W×PRW\times PR for each group.

GroupWWPRPRW×PRW\times PR
Food401305,200
Clothing151201,800
Fuel & Lighting101501,500
Housing201102,200
Miscellaneous151251,875
TotalΣW=100\Sigma W=100Σ(W×PR)=12,575\Sigma(W\times PR)=12{,}575

Step 2 — Apply the formula.

CPI=Σ(W×PR)ΣW=12,575100=125.75\text{CPI}=\dfrac{\Sigma(W\times PR)}{\Sigma W}=\dfrac{12{,}575}{100}=125.75 …

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