Skip to content
Worked Examples · Example 2

Q.A shopkeeper's total sales revenue on a good was ₹1,000 when its price was ₹10 per unit. After a price cut to ₹8 per unit, total revenue fell to ₹880. Using the total outlay method, state and justify the type of price elasticity of demand, and verify using the percentage method.

Gujarat GsebTextbookSubjectiveImportance★★★★★est
75% · 9/12 Questions
✓ Free question

Given: At P1=₹10P_1 = ₹10, total outlay TO1=₹1,000TO_1 = ₹1{,}000, so quantity Q1=1,000/10=100Q_1 = 1{,}000 / 10 = 100 units.

At P2=₹8P_2 = ₹8, total outlay TO2=₹880TO_2 = ₹880, so quantity Q2=880/8=110Q_2 = 880 / 8 = 110 units.

Applying the total outlay rule: price FELL (₹10 → ₹8) and total outlay ALSO FELL (₹1,000 → ₹880). Under the total outlay method, when price falls and outlay falls in the same direction, demand is relatively inelastic.

Independent cross-check using the percentage method:

% ΔQ=110−100100×100=10%\%\ \Delta Q = \frac{110-100}{100}\times100 = 10\%

% ΔP=8−1010×100=−20%\%\ \Delta P = \frac{8-10}{10}\times100 = -20\%

Ep=∣10−20∣=0.5E_p = \left|\frac{10}{-20}\right| = 0.5

Since Ep=0.5<1E_p = 0.5 < 1, the percentage method independently confirms the total-outlay classification of relatively inelastic demand — both methods agree.

✓Final answer

Demand is relatively inelastic; total outlay falls as price falls, and the percentage method gives Ep=0.5E_p = 0.5, confirming the classification.

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.