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Date November 2008 Marks available 2 Reference code 08N.1.sl.TZ0.5
Level SL only Paper 1 Time zone TZ0
Command term Calculate Question number 5 Adapted from N/A

Question

The exchange rate between Indian rupees (INR) and Singapore dollars (S$) is \(100{\text{ INR}} = {\text{S\$ }}3.684\)

Kwai Fan changes \({\text{S\$ }}500\) to Indian rupees.

Calculate the number of Indian rupees she will receive using this exchange rate. Give your answer correct to the nearest rupee.

[2]
a.

On her return to Singapore, Kwai Fan has \(2500\) Indian rupees left from her trip. She wishes to exchange these rupees back to Singapore dollars. There is a \(3\% \) commission charge for this transaction and the exchange rate is \(100{\text{ INR}} = {\text{S\$}}3.672\).

Calculate the commission in Indian rupees that she is charged for this exchange.

[2]
b.

On her return to Singapore, Kwai Fan has \(2500\) Indian rupees left from her trip. She wishes to exchange these rupees back to Singapore dollars. There is a \(3\% \) commission charge for this transaction and the exchange rate is \(100{\text{ INR}} = {\text{S\$}}3.672\).

Calculate the amount of money she receives in Singapore dollars, correct to two decimal places.

[2]
c.

Markscheme

Financial penalty (FP) applies in this question.

\(500 \times \frac{{100}}{{3.684}}\)     (M1)

FP     \( = 13572\)     (A1)     (C2)

Note: (M1) for multiplication by \(\frac{{100}}{{3.684}}\)

[2 marks]

a.

\(2500 \times 0.03\)     (M1)

\( = 75{\text{ }}(75.0{\text{, }}75.00)\)     (A1)     (C2)

If \(2500 \times 0.03 \times \frac{{3.672}}{{100}}\)

\( = 2.75\)

Award (M1)(A0)

[2 marks]

b.

Financial penalty (FP) applies in this question.

\(2425 \times \frac{{3.672}}{{100}}\)     (M1)(ft)

FP     \( = 89.05\)     (A1)(ft)

OR

\(\frac{{3.672}}{{100}} \times 0.97 \times 2500\)     (M1)(ft)

FP     \( = 89.05\)     (A1)(ft)

OR

\(3\% {\text{ of }}91.8 = 2.754\)

\(91.8 - 2.754\)     (M1)(ft)

FP     \( = 89.05\)     (A1)(ft)     (C2)

Note: (ft) in (c) if the conversion process is reversed consistently through the question, i.e. multiplication in (a) followed by division in (c).

[2 marks]

c.

Examiners report

This caused problems for many candidates. The form of the exchange rate proved difficult.

a.

Most candidates managed to answer this correctly.

b.

This part also proved problematic for many candidates.

c.

Syllabus sections

Topic 1 - Number and algebra » 1.5 » Currency conversions.
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