NECO 2002 Economics · Question 33
If the prices of a commodity increases from N8.00 to N10.00 and the demand decreases from 100 to 80…
Question
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.0.5
- B.0.8
- C.1
- D.1.5
- E.1.8
Answer: B. 0.8
Explanation written with AI and checked against the answer key
Analyze the question: We need the price elasticity of demand (PED) when price rises from N8 to N10 and quantity demanded falls from 100 to 80.
Concept: PED = % change in quantity demanded ÷ % change in price
(Using the original values as the base, which is the standard approach in Nigerian exams.)
Solution:
- Change in quantity = 80 − 100 = −20
- % change in quantity = (−20 ÷ 100) × 100 = −20%
- Change in price = 10 − 8 = 2
- % change in price = (2 ÷ 8) × 100 = 25%
PED = −20% ÷ 25% = −0.8
Ignoring the negative sign (demand curves slope downward, so we take the absolute value):
PED = 0.8
Since 0.8 < 1, demand is inelastic.
Check with the midpoint method (for reference):
- % change in Q = 20 ÷ 90 ≈ 22.2%
- % change in P = 2 ÷ 9 ≈ 22.2%
- PED = 1.0
This would give option C, but the midpoint method is not the standard one used in NECO. With the usual original-value method, the answer is 0.
Answer: B. 0.8
Tip: Always use the formula PED = (ΔQ/Q) ÷ (ΔP/P), with the original (first) values as the base unless the question says "average" or "midpoint". Also remember: PED < 1 means inelastic, PED > 1 means elastic, and PED = 1 means unitary.
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