Calculate price index number from the following data:CommodityABCDPrice in 2005 (₹)616244Price in 2010 (₹)818286
Q.3 (iv) Calculate price index number from the following data:
| Commodity | A | B | C | D |
|---|---|---|---|---|
| Price in 2005 (₹) | 6 | 16 | 24 | 4 |
| Price in 2010 (₹) | 8 | 18 | 28 | 6 |
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Answer: Price index number for 2010 (base 2005) = 120
Taking 2005 as the base year (\(p_0\)) and 2010 as the current year (\(p_1\)), by the simple aggregative method:
| Commodity | Price in 2005 (\(p_0\)) ₹ | Price in 2010 (\(p_1\)) ₹ |
|---|---|---|
| A | 6 | 8 |
| B | 16 | 18 |
| C | 24 | 28 |
| D | 4 | 6 |
| Total | \(\sum p_0 = 50\) | \(\sum p_1 = 60\) |
\(P_{01} = \dfrac{\sum p_1}{\sum p_0}\times 100 = \dfrac{60}{50}\times 100 = 120\)
So prices in 2010 rose by 20% compared with 2005.
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· 28 Oct 2026
AI-verified · Oct 2026
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