Given data:
The original amount of television is T=$550.
The initial amount to be paid is i=$50.
The installment for the television is a=$50.
The expression for the amount paid by all 14 installment including initial amount is,
[tex]P=i+14a[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} P=50+14(50) \\ =750 \end{gathered}[/tex]The amount saved by paying original amount at the time of purchase is,
[tex]\begin{gathered} s=P-i \\ =750-550 \\ =200 \end{gathered}[/tex]Thus, $200 is saved by paying original amount at the time of purchase.