Find the amount of the interest that Mandzur must pay. Give your answer correct to the nearest 100 KHR.

Write down your answer to part (a) in the form \(a \times {10^k},{\text{ where }}1 \leqslant a < 10,{\text{ }}k \in \mathbb{Z}\).

\(FV = 900000{\left( {1 + \frac{{15}}{{12 \times 100}}} \right)^{24}}\)     (M1)(A1)

Note: Award (M1) for substitution in the compound interest formula (either \(FV\) or interest), do not penalize if \(–PV\) not seen.

Award (A1) for correct substitution.

 

OR

\({\text{N}} = 2\)

\({\text{I%  = 15}}\)

\({\text{PV = 900}}\,{\text{000}}\)

\({\text{P/Y}} = 1\)

\({\text{C/Y}} = 12\)     (A1)(M1)

Note: Award (A1) for \({\text{C/Y}} = 12\) seen, (M1) for other correct entries.

 

OR

\({\text{N}} = 24\)

\({\text{I%  = 15}}\)

\({\text{PV = 900}}\,{\text{000}}\)

\({\text{P/Y}} = 12\)

\({\text{C/Y}} = 12\)     (A1)(M1)

Note: Award (A1) for \({\text{C/Y}} = 12\) seen, (M1) for other correct entries.

 

\({\text{interest = 321615.945}}\)     (A1)

\( = 312\,600\;\;\;{\text{(KHR)}}\)     (A1)(ft)     (C4)

 

Notes: Award the final (A1) for the correct rounding of their unrounded answer.

If final amount is \(1 212 600\) and working is shown award (M1)(A1)(A0)(A1)(ft).

Award (A2) for \((FV = )\ 1212600\) if no working is seen.

\(3.126 \times {10^5}\)     (A1)(ft)(A1)(ft)     (C2)

Notes: Award (A1)(ft) for their \(3.126\) \((3.13)\), (A1)(ft) for \( \times {10^5}\).

Follow through from part (a).

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