If the price of a product goes up by 10% and, as a result, the quantity demanded falls by 20%, how would you classify the demand?
- (a)Demand is elastic (elasticity greater than 1)
- (b)Demand is inelastic (elasticity less than 1)
- (c)Demand is unitary elastic (elasticity equals 1)
- (d)Demand is perfectly elastic (elasticity is infinite)
Answer
Why
Correct — A. Price elasticity of demand = percentage change in quantity ÷ percentage change in price.
Change in price = +10%
Change in quantity = −20%
Elasticity = 20 ÷ 10 = 2 (size only, the minus sign dropped)
2 is greater than 1, so demand is elastic: option (a).
Why the others are wrong
- (b)Demand is inelastic (elasticity less than 1) — Inelastic needs a smaller response. Quantity would have to fall by less than 10% for a 10% price rise. Here it falls 20%, giving elasticity 2.
- (c)Demand is unitary elastic (elasticity equals 1) — Unitary needs equal percentages. A 10% price rise would have to cut quantity by exactly 10%. A 20% fall gives elasticity 2, not 1.
- (d)Demand is perfectly elastic (elasticity is infinite) — Perfectly elastic means a horizontal demand curve, where demand drops to zero at any other price and elasticity is infinite. A finite 20% fall gives a finite 2.
Concept
Price elasticity of demand measures how strongly quantity demanded responds to a change in price. NCERT defines it as the percentage change in demand divided by the percentage change in price.
Below 1 the demand is inelastic, exactly 1 is unitary elastic, and above 1 is elastic. A horizontal demand curve is perfectly elastic, and a vertical one has elasticity 0.
Spending gives a quick cross-check. Price × quantity becomes 1.10 × 0.80 = 0.88 of the old total, a 12% fall. When quantity falls by a larger percentage than price rises, total expenditure on the good goes down, which is the elastic case.
Key facts
- Price elasticity of demand = percentage change in quantity demanded ÷ percentage change in price.
- Elasticity above 1 is elastic, below 1 is inelastic, and exactly 1 is unitary elastic.
- A horizontal demand curve is perfectly elastic, with elasticity infinite.
- If quantity falls by a larger percentage than price rises, total expenditure on the good falls.
Study next
Common traps
- Dividing the price change by the quantity change: 10 ÷ 20 = 0.5 would wrongly read as inelastic.
- Letting the minus sign decide: elasticity is compared with 1 by its size, so −2 counts as elastic.
Here both percentage changes are given and only the category is asked, so the whole task is one division and a comparison with 1.
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