The price of the water needs to be raised by 40% when the consumption of water reduces by 10% and the price elasticity of demand results to 25%.
What is meant by the price of elasticity of demand?
The price elasticity of demand is determined as the proportionate variation in quantity with respect to variation in the price of a good.
Given values:
Change in water consumption (fall): 10%
Price elasticity of demand: 25%
Computation of percentage change in the price of water:
[tex]\rm\ Change \rm\ in \rm\ price \rm\ of \rm\ water=\frac{\rm\ Change \rm\ in \rm\ water \rm\ consumption}{\rm\ Price \rm\ elasticity \rm\ of \rm\ demand} \\\rm\ Change \rm\ in \rm\ price \rm\ of \rm\ water=\frac{10\%}{25\%} \\\rm\ Change \rm\ in \rm\ price \rm\ of \rm\ water=40\%[/tex]
Therefore, there is an increase in water price by 40%.
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