Suppose that there are two products, A and B. Product A currently sells for Rs. 5 and demand at
this price is 1700 units. If the price fell to Rs. 4.60 demand would increase to 2000 units. Product
B currently sells for Rs.8 and demand at this price is 9500 units. If the price fell to 7.50 demand
would increase to 10000 units. In each these cases calculate
a) Price elasticity of demand
b) The effect on total revenue
Answers
Given : Product A currently sells for Rs. 5 and demand at
this price is 1700 units. If the price fell to Rs. 4.60 demand would increase to 2000 units.
To find : a) Price elasticity of demand
b) The effect on total revenue
Solution:
Price = 5
Demand = 1700
Price = 4.6
Demand = 2000
Change in Demand = dQ/Q = (2000 - 1700)/1700 = 300/1700 = 3/17
Change in Price = dP/P ( 4.6 - 5)/5 = -0.4/5 = -0.08
price elasticity of demand = (dQ/Q )/ dP/P =
Price elasticity of demand = (3/17) /(-0.08) = - 2.2
Effect on revenue = 2000 * 4.6 - 1700 * 5 = 9200 - 8500 = Rs 700
Revenue increased by Rs 700
Price = 8
Demand =9500
Price = 7.5
Demand = 10000
dQ/Q = 500/9500 = 1/19
dP/P = -0.5/8 = -0.0625
Price elasticity of demand = -0.842
Effect on revenue = 10000 * 7.5 - 9500 * 8 = 75000 - 76000 = Rs -1000
Revenue decreased by Rs 1000
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Given :
Product A currently sells for Rs. 5 and demand at
this price is 1700 units. If the price fell to Rs. 4.60 demand would increase to 2000 units.
To find :
a) Price elasticity of demand
b) The effect on total revenue
Solution:
Price = 5
Demand = 1700
Price = 4.6
Demand = 2000
Change in Demand = dQ/Q = (2000 - 1700)/1700 = 300/1700 = 3/17
Change in Price = dP/P ( 4.6 - 5)/5 = -0.4/5 = -0.08
price elasticity of demand = (dQ/Q )/ dP/P =
Price elasticity of demand = (3/17) /(-0.08) = - 2.2
Effect on revenue = 2000 * 4.6 - 1700 * 5 = 9200 - 8500 = Rs 700
Revenue increased by Rs 700
Price = 8
Demand =9500
Price = 7.5
Demand = 10000
dQ/Q = 500/9500 = 1/19
dP/P = -0.5/8 = -0.0625
Price elasticity of demand = -0.842
Effect on revenue = 10000 * 7.5 - 9500 * 8 = 75000 - 76000 = Rs -1000
Revenue decreased by Rs 1000