Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › GATE › GATE 2021 › Q1
1 mark, −0.333Microeconomics › Demand theory and elasticity › Price elasticity of demandEasyabout 1 min

GATE 2021 Question 1: Demand theory and elasticity

A firm finds that for the product that it produces, its (own) price elasticity of demand is 4. Currently, the firm is selling 2000 units per month at ₹5 per unit. If it wishes to increase its sales by 10%, it must

Tap an option to check your answer.

Answer and worked solution

Answer: (C)

Price elasticity of demand: ep=%ΔQd%ΔP=4e_p = \dfrac{\%\Delta Q_d}{\%\Delta P} = 4ep​=%ΔP%ΔQd​​=4 (in magnitude).

To achieve a 10% increase in quantity demanded:

4=10%%ΔP⇒%ΔP=10%4=2.5%4 = \frac{10\%}{\%\Delta P} \Rightarrow \%\Delta P = \frac{10\%}{4} = 2.5\%4=%ΔP10%​⇒%ΔP=410%​=2.5%

Since demand curves slope downward, increasing sales requires lowering the price. Therefore the firm must lower its price by 2.5% — option (C).

The trap: (B) lower its price by 2%

Students sometimes divide in the wrong direction or misremember the elasticity formula's arrangement, computing 10%×10\%\times10%× something or halving 4% incorrectly instead of dividing the target %change by the elasticity value.

Demand theory and elasticity has come up 161 times in 7 exams since 2004.

What this question tests

This question is on Price elasticity of demand, part of Demand theory and elasticity in Microeconomics.

How responsive quantity is to price, at a point, along a linear curve, and for constant-elasticity demand.

TestStop has 41 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q48A consumer always spends 50% of monthly income on food. A value added tax raises food prices by 20% while…
  • GATE 2023 · Q52Suppose the own price elasticity of demand and income elasticity of demand are given by eₚ and e_I…
Take this paper as a timed mockMore on Price elasticity of demand

Question from the GATE 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.