Target Exam

CUET

Subject

Economics

Chapter

Micro Economics: Theory of Firms under Perfect Competition

Question:

When the price of a good falls from Rs. 40 to Rs 30, the total revenue earned by the firm falls from Rs. 4000 to Rs. 2700. find price elasticity of supply for the good.

Options:

2

1.3

1

0.4

Correct Answer:

0.4

Explanation:

The correct answer is Option (4) → 0.4

  • Initial price, P₁ = Rs. 40

  • New price, P₂ = Rs. 30

  • Initial total revenue, TR₁ = Rs. 4000

  • New total revenue, TR₂ = Rs. 2700

Under perfect competition or for a single good, Total Revenue (TR) = Price (P) × Quantity (Q)

Q₁ = TR₁ / P₁ = 4000 / 40 = 100 units
Q₂ = TR₂ / P₂ = 2700 / 30 = 90 units

Change in quantity supplied = 90 − 100 = −10 units
Change in price = 30 − 40 = −10

Percentage change in quantity = (ΔQ / Q₁) × 100 = (−10 / 100) × 100 = −10%
Percentage change in price = (ΔP / P₁) × 100 = (−10 / 40) × 100 = −25%

Elasticity of supply (Es) = (% change in quantity supplied) / (% change in price)

Es = (−10%) / (−25%) = 0.4