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Financial Maths, STD2 EQ-Bank 21

Maya uses a buy now, pay later payment option to make a purchase of $120. Her repayments are split across 4 equal payments over 6 weeks. No interest is charged.

Maya misses her final payment on 16 March 2026 and is charged a late fee of $19. Maya's payment schedule is shown, with her balance totalling $49.

\begin{array} {|l|c|c|c|}
\hline \textbf{Payment} & \textbf{Due Date} & \textbf{Amount} & \textbf{Status} \\
\hline \text{1st}  & \text{2 February 2026} & \$30 &  \text{Paid} \\
\hline \text{2nd} & \text{16 February 2026} & \$30 &  \text{Paid}  \\
\hline \text{3rd} & \text{2 March 2026} & \$30 &  \text{Paid} \\
\hline \text{4th} & \text{16 March 2026} & \$30 &  \text{Not Paid} \\
\hline \text{Outstanding Due} & \text{30 March 2026} & \$49\ \text{including late fee} &   \\
\hline \end{array}

  1. Find the total amount Maya pays for her purchase if repaying in full on 30 March 2026.   (1 mark)

    --- 3 WORK AREA LINES (style=lined) ---

  2. Maya's bank offers short-term loans where simple interest is charged at 16% per annum.
  3. Suppose Maya had borrowed $120 from the bank to make this purchase on 2 February 2026 and repaid it in full 8 weeks later.
  4. How much would Maya have saved using this approach instead of the buy now, pay later option?   (2 marks)

    --- 7 WORK AREA LINES (style=lined) ---

Show Answers Only

a.    \($139\)

b.    \($16.05\)

Show Worked Solution

a.    \(\text{If total owing paid on 30 March:}\)

\(\text{Total paid} = 30+30+30+49=$139\)
 

b.    \(r=16\%=0.16,\ \ n=\dfrac{8 \times 7}{365} = \dfrac{56}{365}\)

\(I=Prn=120 \times 0.16 \times \dfrac{56}{365} = 2.945… = $2.95 \)

\(\text{Amount saved} = 19-2.95=$16.05\)

Filed Under: Loans Tagged With: Band 3, Band 4, smc-6926-10-Buy Now Pay Later, syllabus-2027

Financial Maths, STD2 EQ-Bank 20

Kimberley uses a buy now, pay later payment option to make a purchase of $100. Her repayments are split across 4 equal payments over 6 weeks. No interest is charged.

Kimberley misses her final payment and is charged a late fee of $17. Kimberley’s payment schedule is shown, with her balance totalling $42.
 

  1. Find the total amount Kimberley pays for her purchase if repaying in full on 27 July 2024.   (1 mark)

    --- 3 WORK AREA LINES (style=lined) ---

  2. Kimberley’s bank offers short-term loans where simple interest is charged at 18% per annum.
  3. Suppose Kimberley had borrowed $100 from the bank to make this purchase on 1 June 2024 and repaid it in full 8 weeks later.
  4. How much would Kimberley have saved using this approach instead of the buy now, pay later option?   (2 marks)

    --- 7 WORK AREA LINES (style=lined) ---

Show Answers Only

a.    \($117\)

b.    \($14.24\)

Show Worked Solution

a.    \(\text{If total owing paid on 27 July:}\)

\(\text{Total paid} = 25+25+25+42=$117\)
 

b.    \(r=18\%=0.18,\ \ n=\dfrac{8 \times 7}{365} = \dfrac{56}{365}\)

\(I=Prn=100 \times 0.18 \times \dfrac{56}{365} = 2.761… = $2.76 \)

\(\text{Amount saved} = 17-2.76=$14.24\)

Filed Under: Loans Tagged With: Band 3, Band 4, smc-6926-10-Buy Now Pay Later, syllabus-2027

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