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Q.The demand and supply functions of a commodity is given by
Qd = 100 - 2P
Qs = 2P - 60
Find:

(i) Equilibrium price
(ii) Equilibrium quantity. (3+1=4)
Assam AhsecAHSEC Assam Higher Secondary Final Class 12 (Commerce) 2020Subjective· 4mImportance★★★★★
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At equilibrium Qd = Qs; solving 100 − 2P = 2P − 60 gives P = 40 and Q = 20.

Given: Demand function Qd = 100 − 2P and Supply function Qs = 2P − 60.

Step 1 — Equilibrium condition: The market is in equilibrium where quantity demanded equals quantity supplied:

Qd = Qs

100 − 2P = 2P − 60

Step 2 — Solve for P:

100 + 60 = 2P + 2P

160 = 4P

P = 160 ÷ 4 = 40

So the equilibrium price = Rs. 40.

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