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.
- AP = ₹20, Q = 100Correct
- BP = ₹20, Q = 80
- CP = ₹18, Q = 110
- 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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