Simple and Compound Interest Word Problems Worksheet

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.

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

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

Problem 7 :

Calculate :

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

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

Solution

Problem 8 :

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 9 :

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

Answer Key

1)  a)  $3993

b)  $993

2)  $11470.39

3)  a)  $6000

b)  $6050

4)  a)  $43923

b)  $13923

5)  $23602.32

6)  a)  $7800

b)  $7935

7) a)  $300  b)  315.25

8)  a)  9405  b)   9000

9)  a)  665.6 

b)  $2292.192

c)  $46.3635

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