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Numerical Problems · Q9

Q.Continuing from the previous market (Qs=20+2PQ_s = 20 + 2P), suppose demand rises to Qd=140−2PQ_d = 140 - 2P. Find the new equilibrium and state the effect of the increase in demand on price and quantity.

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✓ Free question

Set the new demand equal to supply:

140−2P=20+2P140 - 2P = 20 + 2P

140−20=2P+2P140 - 20 = 2P + 2P

120=4P⇒P=30120 = 4P \Rightarrow P = 30

Substitute back:

Qd=140−2(30)=80,Qs=20+2(30)=80.Q_d = 140 - 2(30) = 80, \qquad Q_s = 20 + 2(30) = 80.

Both sides equal 80, confirming the result. The earlier equilibrium was P = ₹20, Q = 60; now P = ₹30, Q = 80.

Interpretation. With supply unchanged, a rightward shift of demand raises both the equilibrium price (from ₹20 to ₹30) and the equilibrium quantity (from 60 to 80). This illustrates the rule that demand moves price and quantity in the same direction.

Figure 4 — Increase in demand: with supply fixed, demand shifts from D0 to D1, raising equilibrium from (60, ₹20) to (80, ₹30)
Figure 4 — Increase in demand: with supply fixed, demand shifts from D0 to D1, raising equilibrium from (60, ₹20) to (80, ₹30)
✓Final answer

New equilibrium is price ₹30 and quantity 80 units; the increase in demand raises both price and quantity.

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