We are given the following information:
Henry buys a furniture for $1,200
He pays a deposit of 25%
Duration = 36 months = 3 years
Interest charged on balance = 12%
We will proceed to solve the total hire purchase price as shown below:
![\begin{gathered} Deposit=25\text{\%}*1,200 \\ Deposit=\text{ \$}300 \\ CashPrice(P)=(Price-Deposit)=(1,200-300)=900 \\ CashPrice(P)=\text{ \$}900 \\ \\ TotalInterest=(P* R* T)/(100) \\ TotalInterest=(900*12*3)/(100) \\ TotalInterest=900*0.12*3 \\ TotalInterest=\text{ \$}324 \\ \\ TotalHirePurchase=Deposit+CashPrice+TotalInterest \\ TotalHirePurchase=(300+900+324) \\ TotalHirePurchase=\text{ \$}1524 \\ \\ \therefore TotalHirePurchase=\text{ \$}1,524 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/osqs70k47fpgwtdot79prwlq0h8ff1jxlz.png)
Therefore, the total hire purchase is $1,524