Elisa buys a violin, which costs $2200, through a hire purchase agreement. Under the agreement, she
pays a deposit of $500 and makes 8 monthly repayments of $320. Find the total interest charged and
the flat rate of interest, correct to two decimal places

Respuesta :

Answer:

-$860

-58.64%

Step-by-step explanation:

Given the cash price as $2200, the down payment as $500 and monthly installments of $320 for 8 months, the interest charged is calculated as;

[tex]Interest=Hire \ Purchase \ Price -Cash \ Price\\\\=(500+320\times8)-2200\\\\=3060-2200\\\\=860[/tex]

Hence, the interest charged is $860

#Flat rate of interest is similar to simple interest rate.

Knowing n=8 months and interest as $860, the rate is calculated as:

[tex]I=P\times i \times n \ \ \ \ \n=8/12 \ ,P=2200\\\\860=2200i\times \frac{8}{12}\\\\i=0.5864[/tex]

Hence, the flat rate of interest over the 8 months is 58.64%