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Numerical Problems · Q12

Q.Using the same four commodities' prices as in the previous question, calculate the Price Index Number using the Simple Average of Price Relatives Method, and comment on how it compares with the Simple Aggregate Method's result of 121.43.

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Step 1 — price relative for each commodity, P1P0×100\dfrac{P_1}{P_0}\times100:

CommodityP0P_0P1P_1Price Relative
A10121210×100=120\frac{12}{10}\times100=120
B20252520×100=125\frac{25}{20}\times100=125
C15181815×100=120\frac{18}{15}\times100=120
D25303025×100=120\frac{30}{25}\times100=120

Step 2 — average the relatives:

P01=120+125+120+1204=4854=121.25P_{01} = \frac{120+125+120+120}{4} = \frac{485}{4} = 121.25

Independent re-check: re-adding, 120+125=245120+125=245; 245+120=365245+120=365; 365+120=485365+120=485; 485/4=121.25485/4=121.25 — confirmed. …

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