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Q.Suppose given values of market demand and market supply respectively are q^D = 200 - p, q^S = 120 + p : then calculate the equilibrium price and equilibrium quantity.

Rajasthan RbseRBSE Rajasthan Senior Secondary (Class-12) Commerce Board 2023Subjective· 2mImportance★★★★★
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Equating demand and supply (200 − p = 120 + p) gives equilibrium price ₹40 and equilibrium quantity 160.

Market equilibrium occurs where quantity demanded equals quantity supplied, i.e. qD = qS.

Step 1 — set demand equal to supply:

200 − p = 120 + p

Step 2 — solve for the equilibrium price:

200 − 120 = p + p

80 = 2p

p = 40

Step 3 — find the equilibrium quantity by substituting p = 40 into either equation:

qD = 200 − 40 = 160 …

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