Respuesta :

A 15 percent increase in the price will result in 18% decrease in quantity demanded.

What is Price Elasticity Of  Demand?

Price elasticity of demand  is defined as the the change in the rate  of consumption of a particular product with respect   to the change in its price. It is given as is the ratio of the percentage change in the  quantity demanded of a product to the percentage change in price.

Simply put;

Price elasticity of demand   = percentage change in quantity demand / percentage change in price

[tex]pEd[/tex] =[tex]\frac{percentage change in quantity}{percentage change in price, }[/tex] ; [tex]pEd[/tex] =[tex]\frac{Qd}{Pd }[/tex]

We were given that

  • Price Elasticity of demand; pEd  1.20
  • Increase in the price ; 15%

Plugging in our values, we have that

1.20 =[tex]\frac{Qd}{0.15}[/tex]

Percentage change in quantity demanded[tex]Qd[/tex]  =0.18   =18%

Therefore, A  15 percent increase in the price will  result to an  18% decrease in quantity demanded.

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