Skip to content
Numerical Problems · Q8

Q.In a competitive market the demand and supply for a commodity are given by Qd=100−2PQ_d = 100 - 2P and Qs=20+2PQ_s = 20 + 2P, where P is price in rupees and Q is quantity. Find the equilibrium price and quantity.

ChseodishaTextbookSubjectiveImportance★★★★★est
40% · 8/20 Questions
✓ Free question

At equilibrium, quantity demanded equals quantity supplied:

Qd=QsQ_d = Q_s

100−2P=20+2P100 - 2P = 20 + 2P

100−20=2P+2P100 - 20 = 2P + 2P

80=4P⇒P=2080 = 4P \Rightarrow P = 20

Substitute P=20P = 20 into either equation:

Qd=100−2(20)=100−40=60,Qs=20+2(20)=20+40=60.Q_d = 100 - 2(20) = 100 - 40 = 60, \qquad Q_s = 20 + 2(20) = 20 + 40 = 60.

Both give the same quantity, which confirms the answer.

✓Final answer

Equilibrium price P = ₹20 and equilibrium quantity Q = 60 units.

Unlock everything free for 14 days

  • Full step-by-step solutions
  • Concept-first explanations
  • Methods, shortcuts & mistakes
  • PYQ mapping + timed mock tests

Full access for 14 days. No credit card required.