To solve for the price elasticity of demand, we utilize the formula below.
Price elasticity of demand = % Change in Demand Quantity
% Change in Price
where: % Change in Demand Quantity = (Qnew -Qold)/Qold
% Change in Price = (Pnew - Pold/)Pold
Using midpoint method, the formula changes to:
% Change in Demand Quantity = (Qnew -Qold)/Qave = (200000-100000)/150000 = 67%
% Change in Price = (Pnew - Pold/)Pave = (1-1.5)/1.25 = -40%
Price elasticity of demand = 67%/-40% = -1.675%
ANSWER: -1.675%