# Finding the Exact Simple Interest

by Dane
(Cleveland)

##### Question
Find the interest amount and maturity value for the following loan:
Principal: \$585
Interest rate: 9%
Date borrowed: June 5
Date Repaid: Dec 15
Exact time: 193 days
In simple terms, the question demands finding the interest amount and maturity value on a principal amount of \$585 for 193 days at 9% rate of interest.

STEP 1:
Let us start by finding the amount of interest. The basic formula used to calculate simple interest is:

I = Prt.

Here, P denotes the principal, r represents the rate of interest for one year, and t is the time in years.

STEP 2:
Since the time period is 193 days, we need to convert the number of days into an equivalent number of years. It is a known fact that a year consists of 365 days. This means that we have to divide 193 days by 365 days to get the equivalent number of years.

Also, it will be desirable to convert the rate of interest to a decimal by dividing it by 100.

STEP 4:
Our aim next is to find the maturity value. This can be achieved using the formula:
S = P(1 + rt).

Since the values of all the variables in the formula are known, we can directly substitute and get the result.

The maturity value is about \$612.85.

### Comments for Finding the Exact Simple Interest

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 Oct 23, 2021 Rating J by: Anonymous At what rate of simple interest will a principal of AED 142 500 earn AED 2100 in 210 days? Using the exact interest method.

 Mar 21, 2013 Rating MATH PERCEDURES by: Anonymous Janet took out a loan of \$50,000 from Bank of America at 8 percent on March 19, 2006 which is due on July 8, 2006. Using exact interest, the amount of Janet's interest cost is:

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