Question

Consider the table below on the quantities of commodities alongside their prices in the year 2020 and 2022.

Commodity	Prices (₹)		Quantities
	In 2020 Year	In 2022 Year	In 2020 Year	In 2022 Year
A	1	2	5	6
B	3	4	3	4
C	5	6	2	5
D	4	5	1	3
E	3	4	4	6

The value of ∑p₁q₀ is :

• A. 40
• B. 55
• C. 73
• D. 97

Answer 1

The Correct Option is B

To determine the value of ∑p₁q₀, we need to calculate the sum of the product of prices in 2022 (p₁) and quantities in 2020 (q₀) for each commodity.

Let's denote the commodities from A to E:

1. Commodity A: p₁ = 2, q₀ = 5
2. Commodity B: p₁ = 4, q₀ = 3
3. Commodity C: p₁ = 6, q₀ = 2
4. Commodity D: p₁ = 5, q₀ = 1
5. Commodity E: p₁ = 4, q₀ = 4

We calculate the product for each commodity:

• For Commodity A: 2 × 5 = 10
• For Commodity B: 4 × 3 = 12
• For Commodity C: 6 × 2 = 12
• For Commodity D: 5 × 1 = 5
• For Commodity E: 4 × 4 = 16

Add these products together:

∑p₁q₀ = 10 + 12 + 12 + 5 + 16 = 55

Thus, the value of ∑p₁q₀ is 55.