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The price of a good decreases from ₹100 to 80 per unit. If the price elasticity of demand for the good is 2 and the original quantity demanded is 30 units, calculate the new quantity demanded.

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Question

The price of a good decreases from ₹100 to 80 per unit. If the price elasticity of demand for the good is 2 and the original quantity demanded is 30 units, calculate the new quantity demanded.

Sum
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Solution

P1 = 100, P2 = 80

Change in price

(ΔP) = 100 - 80 = ₹20

Ed = 2

Q1 = 30 units.

Ed = `(ΔQ)/Q_1 xx P_1/(ΔP)`

2 = `(ΔQ)/30 xx 100/20`

12 = ΔQ

Q2 = Q+ ΔQ

= 30 + 12

= 42 units.

The new quantity purchased at a reduced price will be 42 units.

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