To solve this problem, let's follow these steps:
1. Find out how much more is being paid in the installment plan than the full price.
2. Calculate the total amount that will be paid on the installment plan.
3. Divide the total amount paid by the number of payments to find the amount of each installment.
The full price of the item is $200. According to the installment plan, the total amount paid is 20% more than the full price.
1. To find 20% of $200, you would calculate 0.20 times $200:
\( 0.20 \times 200 = 40 \).
So 20% of the full price is $40.
2. The total amount paid in the installment plan would then be the full price plus the additional 20%:
\( 200 + 40 = 240 \).
Therefore, the total amount paid over the installment plan is $240.
3. The total amount is to be paid over five installment payments. Therefore, to find the amount of each installment payment, we divide $240 by 5:
\( 240 \div 5 = 48 \).
So each installment payment is $48.
Given the available options, the correct answer is:
D. $48
