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Exercises · Q9
Q.

Find the price index number for the current year by the simple aggregate method.

Commodityp0p_0 (₹)p1p_1 (₹)
P2025
Q5060
R3033
S1012
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3% · 1/35 Questions
✓ Free question

Using P01=∑p1∑p0×100P_{01} = \dfrac{\sum p_1}{\sum p_0}\times100:

Commodityp0p_0p1p_1
P2025
Q5060
R3033
S1012
Total110130

∑p0=20+50+30+10=110\sum p_0 = 20+50+30+10 = 110, ∑p1=25+60+33+12=130\sum p_1 = 25+60+33+12 = 130. Hence

P01=130110×100=1.18182×100=118.18.P_{01} = \frac{130}{110}\times100 = 1.18182\times100 = 118.18.

Independent check. The rise is 130−110110×100=20110×100=18.18%\dfrac{130-110}{110}\times100 = \dfrac{20}{110}\times100 = 18.18\%, so the index is 118.18118.18 — confirmed.

✓Final answer

P01≈118.18P_{01} \approx 118.18 — prices are about 18.18%18.18\% higher than the base year.

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