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CA Foundation · Business Economics · Theory of Demand and Supply

The demand and supply functions for a commodity in a local market are Qd = 200 − 5P and Qs = 20 + 4P, where P is in rupees. What are the equilibrium price and equilibrium quantity?

Equating demand and supply, 200 − 5P = 20 + 4P gives 9P = 180, so the equilibrium price is ₹20. Substituting this into either function gives a quantity of 100 units, since 200 − 100 = 100 and 20 + 80 = 100.

  1. AP = ₹20, Q = 100Correct
  2. BP = ₹20, Q = 80
  3. CP = ₹18, Q = 110
  4. DP = ₹25, Q = 75

Explanation

Set Qd = Qs: 200 − 5P = 20 + 4P, so 180 = 9P and P = 20. Quantity = 200 − 5(20) = 100, and check with supply: 20 + 4(20) = 100. Option B uses the wrong quantity of 80, which matches neither curve at P = 20.

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