Jack purchased two chairs at a discount of \(50\%.\) Sally purchased a table at a discount of \(80\%.\) Jack spent more

Jack purchased two chairs at a discount of \(50\%.\) Sally purchased a table at a discount of \(80\%.\) Jack spent more on his two chairs than Sally did on her table. If Jack had purchased his two chairs at a discount of \(60\%,\) he would have spent less than Sally. If \(z\) represents the undiscounted price of Sally's table, which of the following could be the average undiscounted price of Jack's two chairs, in terms of \(z?\)

A. \(0.25z\)
B. \(0.22z\)
C. \(0.19z\)
D. \(0.15z\)
E. \(0.13z\)

Answer: B

Source: Manhattan GMAT