Question on: JAMB Economics - 2024

If the prices of a commodity increases from N8.00 to N10.00 and the demand decreases from 100 to 80 respectively, what is the price elasticity of demand for the commodity?

A
1
B
0.8
C
0.5
D
1.5
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Correct Option: B

The price elasticity of demand (PED) measures the responsiveness of the quantity demanded of a good to a change in its price. It is calculated using the following formula:

\[PED = \frac{\% \text{ Change in Quantity Demanded}}{\% \text{ Change in Price}}\]

Here's how to calculate it for this question:

  1. Calculate the percentage change in quantity demanded:
    Change in quantity = 80 - 100 = -20
    Average quantity = (100 + 80) / 2 = 90
    % Change in Quantity Demanded = (-20 / 90) * 100 ≈ -22.22%
  2. Calculate the percentage change in price:
    Change in price = 10 - 8 = 2
    Average price = (8 + 10) / 2 = 9
    % Change in Price = (2 / 9) * 100 ≈ 22.22%
  3. Calculate the Price Elasticity of Demand (PED):
    PED = (-22.22%) / (22.22%) = -1
    The absolute value of PED is 1. Therefore, the answer is 1.

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