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

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