Question

Cayden wants to buy a television that costs $600, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $225, and then pay $74.50 each. What is the percent increase from the original cost of the television to the cost of the television using the payment plan?

Answer 1

well, the regular cost of the TV is 600 bucks, that includes taxes already, so is just 600 flat.

the payment plan makes Cayden pay 225 first, leaving 375 for periodic payments for 6 months, each payment of 74.50.

well, 74.5*6 = 447, so Cayden is paying 225 + 447 = 672, so the increase is 72 bucks.

If we take 600 to be the 100%, how much is 72 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 600&100\\ 72&x \end{array}\implies \cfrac{600}{72}=\cfrac{100}{x}\implies \cfrac{25}{3}=\cfrac{100}{x} \\\\\\ 25x=300\implies x=\cfrac{300}{25}\implies x=12$