Subjects economics

Price Index Food 41Cec5

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Price Index Food 41Cec5


1. Problem: Compute various price indices using the given food basket prices for years 1985, 1990, and 1995. 2. Formula: The simple price index for an item is given by $$\text{Simple Price Index} = \frac{\text{Price in current year}}{\text{Price in base year}} \times 100$$ The unweighted aggregate price index is the average of the simple price indices of all items. 3. a) Simple price index of sugar in 1990 with base year 1985: $$\frac{28}{22} \times 100 = 127.27$$ Interpretation: Sugar price increased by 27.27% from 1985 to 1990. 4. b) Unweighted aggregate price index for 1985 (base year): Since 1985 is base year, index = 100. 5. c) Unweighted aggregate price index for 1990 using 1985 as base: Calculate simple price indices for all items: Eggs: $\frac{30}{25} \times 100 = 120$ Milk: $\frac{40}{32} \times 100 = 125$ Banana: $\frac{25}{20} \times 100 = 125$ Potatoes: $\frac{20}{10} \times 100 = 200$ Sugar: $\frac{28}{22} \times 100 = 127.27$ Average: $$\frac{120 + 125 + 125 + 200 + 127.27}{5} = 139.45$$ Interpretation: Overall food basket price increased by 39.45% in 1990 compared to 1985. 6. d) Unweighted aggregate price index for 1995 using 1985 as base: Eggs: $\frac{36}{25} \times 100 = 144$ Milk: $\frac{55}{32} \times 100 = 171.88$ Banana: $\frac{28}{20} \times 100 = 140$ Potatoes: $\frac{28}{10} \times 100 = 280$ Sugar: $\frac{32}{22} \times 100 = 145.45$ Average: $$\frac{144 + 171.88 + 140 + 280 + 145.45}{5} = 176.67$$ Interpretation: Food basket price increased by 76.67% in 1995 compared to 1985. q_count is 4 because four subproblems were solved from the first question.