itomath.com

Simple Interest

Borrowing Money and Investments

If you borrow money (sometimes called a loan), usually you have to repay the amount you borrowed plus .
One way of calculating how much interest to pay is called interest.
For example, if a bank charges $10\%$ interest p.a. (per annum, which means "per "), the borrower must pay $10\%$ of their loan in interest every year.

A bank charges $10\%$ p.a. simple interest.

If you borrow $\$600$ for $3$ years:
Every year, you must pay $\$$ interest.
After $3$ years, the total interest you must pay is $\$$ .
The total amount needed to repay the loan is $\$$ .

If you borrow $\$1450$ for $7$ years:
Every year, you must pay $\$$ interest.
After $7$ years, the total interest you must pay is $\$$ .
The total amount needed to repay the loan is $\$$ .


A bank charges $4.5\%$ p.a. simple interest.

If you borrow $\$600$ for $3$ years:
Every year, you must pay $\$$ interest.
After $3$ years, the total interest you must pay is $\$$ .
The total amount needed to repay the loan is $\$$ .

If you borrow $\$1450$ for $7$ years:
Every year, you must pay $\$$ interest.
After $7$ years, the total interest you must pay is $\$$ .
The total amount needed to repay the loan is $\$$ .


You can also earn simple interest on investments.

You invest $\yen 50000$ that earns $8\%$ simple interest per year.

Every year, your investment earns $\yen$ interest.
After $3$ years, the total interest earned is $\yen$ .
The total value of the investment after $3$ years is $\yen$ .


You invest $\$1000$ that earns $6\%$ simple interest per year.

The total interest earned at the end of the investment is $\$840$. For how long did you invest the money? years.


You invest $\$1000$ that earns $6\%$ simple interest per year.

The total value of the investment when you withdraw it is $\$1540$. For how long did you invest the money? years.