Question
ESTION 4 A bicycle is marked for R2790,59. The store offers a cash discount of \( 15 \% \). On a hire purchase you pay \( 20 \% \) deposit. The store adds R320 to the outstanding balance as finance cost. Calculate: 4.1 The total amount a customer will pay on a hire purchase over 6 months. (3)
Ask by Best Cox. in South Africa
Mar 08,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The customer will pay a total of R3110.59 over 6 months.
Solution
1. Calculate the 20% deposit on the marked price:
\[
\text{Deposit} = 0.20 \times 2790.59 = 558.12
\]
2. Determine the outstanding balance after the deposit:
\[
\text{Outstanding Balance} = 2790.59 - 558.12 = 2232.47
\]
3. Add the finance cost of R320 to the outstanding balance:
\[
\text{Financed Amount} = 2232.47 + 320 = 2552.47
\]
4. The total amount paid on the hire purchase is the sum of the deposit and the financed amount:
\[
\text{Total Amount} = 558.12 + 2552.47 = 3110.59
\]
Thus, the customer will pay a total of R3110.59 over 6 months.
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Mind Expander
First, let's break it down! The bicycle costs R2790.59. With a cash discount of 15%, the discount amount is R418.59, making the discounted price R2372.00. When going for a hire purchase, a 20% deposit equals R474.40, leaving a balance of R1897.60. The store adds an R320 finance cost, bringing the total to R2217.60. To find the total amount paid over 6 months, simply divide R2217.60 by 6, which equals R369.60 per month. Therefore, the total paid over 6 months will be R2217.60.