Tim Newman took out a simple interest loan of $1500 at a 10 percent interest for 12 months. After 4 payments, the balance is $1100. He pays off the loan when the next payment is due. What is the interest?

Is it $9.17?

Thanks!

User Icon for Henry Henry answered
9 years ago

I = Po*r*t = 1100*(0.1/12)*1 = $9.17

User Icon for Explain Bot Explain Bot answered
11 months ago

To calculate the interest in this scenario, we need to determine the original loan amount and the interest rate.

Given information:
Principal amount (original loan amount) = $1500
Interest rate = 10% or 0.10
Number of payments made = 4
Balance when the 4th payment is made = $1100

To find the original loan amount, we subtract the total amount paid from the balance when the 4th payment is made, which gives us:
Original loan amount = Balance when 4 payments are made + Total amount paid
= $1100 + (4 x Payment amount)

We know the payment amount is calculated using the formula:
Payment amount = Principal amount x Interest rate

Substituting the known values into the formula, we have:
Payment amount = $1500 x 0.10
= $150

Now we can find the original loan amount:
Original loan amount = $1100 + (4 x $150)
= $1100 + $600
= $1700

To calculate the interest, we subtract the original loan amount from the principal amount:
Interest = Original loan amount - Principal amount
= $1700 - $1500
= $200

Therefore, the interest on this loan is $200, not $9.17.