A consumer spends Rs 100 on a good priced at Rs 4 per unit. When its price falls by 25 percent, the consumer spends Rs 75 on the good. Calculate the price elasticity of demand by the Percentage method.
Advertisement Remove all ads
Solution
Given:
Actual Total Expenditure (TE0) Rs 100
Change in Total Expenditure (TE1) Rs 75
Actual Price (P0) Rs 4
Percentage change in price - -25
Percentage change in price = `(P_1 - P_0)/P_0 xx 100`
`= -25 = (P_1 - 4)/4 xx 100`
`(-100)/100 = P_1 - 4`
`P_1 = 3`
Therefore,
Price (P) |
Total Expenditure (TE) = Price (P) × Quantity (Q | Quantity (Q) = `"TE"/P` |
P0 = Rs = 4 | TE0 = Rs 100 | Q0 = 2 |
P1 = Rs 3 | TE1 = Rs 75 | Q1= 25 |
`Ed = (-) "Percentage change in quantity demanded"/"Percentage change in price"`
`Ed = (-) ("Changeindemand"/"Actualdemand"xx100)/-25`
Ed = (-) `((Q_1 - Q_0)/Q_0 xx 100)/-25`
`Ed = (-) ((25 - 25)/25 xx 100)/-25`
`Ed = (-) (-20)/25`
∴ Ed = 0
Thus, the price elasticity of demand is 0.
Concept: Elasticity of Demand
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads