What is the simple interest of a loan for $1,000 with 5 percent interest after 3 years?

$150

$1,150

$1,050

$50

1 answer

To calculate the simple interest, you can use the formula:

\[ \text{Simple Interest} = P \times r \times t \]

where:

  • \( P \) is the principal amount (the initial loan amount),
  • \( r \) is the rate of interest (as a decimal),
  • \( t \) is the time in years.

Given:

  • \( P = 1000 \)
  • \( r = 0.05 \) (5 percent as a decimal)
  • \( t = 3 \)

Now plug in the values:

\[ \text{Simple Interest} = 1000 \times 0.05 \times 3 \]

Calculating this gives:

\[ \text{Simple Interest} = 1000 \times 0.15 = 150 \]

So the simple interest after 3 years is $150.

If you want to find the total amount to be paid back after 3 years, you would add the simple interest to the principal:

\[ \text{Total Amount} = P + \text{Simple Interest} = 1000 + 150 = 1150 \]

Thus, the answers are:

  • Simple Interest: $150
  • Total Amount: $1,150

The correct option for the simple interest is $150.