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Question 19

A queen-sized bed at a furniture shop costs R5,999.00. On hire purchase, a [tex]$10 \%$[/tex] deposit is required followed by 24 monthly payments of R260.

Calculate the total money that the purchaser will pay if he buys the bed on the hire purchase option.

A. R6,140.00
B. R6,839.90
C. R6,240.00
D. R6,340.00


Sagot :

To determine the total money that the purchaser will pay if he buys the bed on the hire purchase option, follow these steps:

1. Calculate the 10% deposit:
The first step is to calculate 10% of the cost of the bed.

[tex]\[ \text{Deposit} = 10\% \text{ of } R5,999.00 \][/tex]
[tex]\[ \text{Deposit} = 0.10 \times 5999.00 = R599.90 \][/tex]

2. Calculate the total amount paid in monthly installments:
The purchaser makes 24 monthly payments of R260 each.

[tex]\[ \text{Total Monthly Payments} = R260 \times 24 = R6,240.00 \][/tex]

3. Calculate the total cost of hire purchase:
Add the initial deposit and the total amount paid in monthly installments.

[tex]\[ \text{Total Cost} = \text{Deposit} + \text{Total Monthly Payments} \][/tex]
[tex]\[ \text{Total Cost} = R599.90 + R6,240.00 = R6,839.90 \][/tex]

Therefore, if the purchaser buys the bed on the hire purchase option, the total money paid will be R6,839.90.

So, the correct answer is:
[tex]\[ \boxed{B \ R6,839.90} \][/tex]