Simple and Compound Interest Word Problems Worksheet

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.

Find the simple interest charged when :

Problem 1 :

$5000 is borrowed for 1 year at 12% per annum simple interest. 

Solution

Problem 2 :

$2500 is borrowed for 2 years at 8% per annum simple interest.

Solution

Problem 3 :

$40000 is borrowed for 5 years at 11% per annum simple interest.

Solution

Problem 4 :

$250000 is borrowed for 9 months at 20% per annum simple interest.

Solution

Find the total amount needed to repay a loan of :

Problem 5 :

$2400 borrowed for 3 years at 10% per annum simple interest.

Solution

Problem 6 :

$8000 borrowed for 7 years at 12% per annum simple interest.

Solution

Problem 7 :

$7500 borrowed for 2 1/2 years at 8% per annum simple interest.

Solution

Problem 8 :

$23000 borrowed for 4 months at 15% per annum simple interest.

Solution

Problem 9 :

Kyle borrows $25000 at 6% p.a. Simple interest for 4 years.

(a)  Find the total amount needed to repay the loan.

(b)  Calculate the monthly repayment required to pay this loan off in 48 equal instalments.

Solution

Problem 10 :

You deposit $5000 in an account earning 7.5% simple interest. How long will it take for the balance of the account to be $6500?

Solution

Problem 11 :

You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?

Solution

Answer Key

1) I = 600

2) I = 400

3)  $22000

4)  $37500

5)  I = $720, P = $3120

6)  I = $6720, P = $14720

7)  I = $1500, P = $9000

8)  I = $1150, P = $24150

9)  a) I = 6000, P = 31000

b) $645.83

10) Approximately 7 years.

11)  the annual rate of interest is 6%.

Problem 1 :

a) What will an investment of $3000 at 10% p.a. compound interest amount to after 3 years?

b) What part of this is interest?

Solution

Problem 2 :

How much compound interest is earned by investing $20,000 for 4 years at 12% p.a.?

Solution

Problem 3 :

$5000 is invested for 2 years at 10% p.a. What will this investment amount to if the interest is calculated as :

a) Simple interest

b) Compound interest?

Solution

Problem 4 :

a) What will an investment of $30,000 at 10% p.a. Compound interest amount to after 4 years?

b) What part of this is interest?

Solution

Problem 5 :

How much compound interest is earned by investing €80,000 at 9% p.a. over a 3 year period?

Solution

Problem 6 :

$6000 is invested for 2 years at 15% p.a. What will this investment amount to if the interest is calculated as :

a) Simple interest

b) Compound interest?

Solution

Answer Key

1)  interest is $993.

2)  compound interest is $11470.39.

3) a)  total amount is £6000.

b) compound interest is $6050.

4) a) $43923

b) interest is $13923.

5) compound interest is $23602.32.

6) a)  total amount is $7800.

b) compound interest is $7935.

Problem 1 :

Calculate :

a) The simple interest earned on $2000 at 5% p.a. for 3 years.

b) Using a table, the compound interest earned on $2000 at 5% p.a. for 3 years.

Solution

Problem 2 :

If $50,000 is invested at 9% p.a. compound interest, use a table to find:

a) The final amount after 2 years.

b) How much interest was earned in the 2 year period.

Solution

Problem 3 :

Determine the interest earned for the following investments 

a. $4000 at 8% p.a. compound interest for 2 years.

b. $12000 at 6% p.a. compound interest for 3 years.

c. $500 at 3% p.a. compound interest for 3 years.

Solution

Problem 4 :

Tong loaned Jody $50 for a month. He charged 5% simple interest for the month. How much did Jody have to pay Tong?

Solution

Problem 5 :

Jessica’s grandparents gave her $2000 for college to put in a savings account until she starts college in four years. Her grandparents agreed to pay her an additional 7.5% simple interest on the $2000 for every year.

How much extra money will her grandparents give her at the end of four years?

Solution

Problem 6 :

Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her account after 7 years?

Solution

Problem 7 :

What is the difference in the amount of money in the bank after five years if $2500 is invested at 3.2% interest compounded annually or at 2.9% interest compounded annually?

Solution

Problem 8 :

Ronna was listening to her parents talking about what a good deal compounded interest was for a retirement account. She wondered how much money she would have if she invested $2000 at age 20 at 2.8% annual interest compounded quarterly (four times each year) and left it until she reached age 65. Determine what the value of the $2000 would become.

Solution

Answer Key

1) compound interest is $315.25.

2) a)  final amount after 2 years is 9405.

b) interest was earned in the 2 year period is 9000.

3) a) compound interest is $665.6.

b) compound interest is $2292.192.

c)  compound interest is $46.3635.

4) 50.20

5) At the end of four years, her grandparents will give $600.

6) Approximately 5745 is the amount he will receive after 7 years.

7)  $42.5

8) 7020

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More