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Date May 2017 Marks available 3 Reference code 17M.1.sl.TZ1.8
Level SL only Paper 1 Time zone TZ1
Command term Calculate Question number 8 Adapted from N/A

Question

Daniela is going for a holiday to South America. She flies from the US to Argentina stopping in Peru on the way.

In Peru she exchanges 85 United States dollars (USD) for Peruvian nuevo sol (PEN). The exchange rate is 1 USD = 3.25 PEN and a flat fee of 5 USD commission is charged.

At the end of Daniela’s holiday she has 370 Argentinean peso (ARS). She converts this back to USD at a bank that charges a 4% commission on the exchange. The exchange rate is 1 USD = 9.60 ARS.

Calculate the amount of PEN she receives.

[3]
a.

Calculate the amount of USD she receives.

[3]
b.

Markscheme

\((85 - 5) \times 3.25\)     (M1)(M1)

 

Note:     Award (M1) for subtracting 5 from 85, (M1) for multiplying by 3.25.

Award (M1) for \(85 \times 3.25\), (M1) for subtracting \(5 \times 3.25\).

 

\( = 260{\text{ (PEN)}}\)     (A1)     (C3)

[3 marks]

a.

\(\frac{{(370 \times 0.96)}}{{9.6}}\)     (M1)(M1)

 

Note:     Award (M1) for multiplying by 0.96 (or equivalent), (M1) for dividing by 9.6. If division by 3.25 seen in part (a), condone multiplication by 9.6 in part (b).

 

\( = 37{\text{ (USD)}}\)     (A1)     (C3)

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 1 - Number and algebra » 1.5
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