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?

  1. A.0.5
  2. B.0.8
  3. C.1
  4. D.1.5
  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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