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Date November 2014 Marks available 2 Reference code 14N.1.sl.TZ0.4
Level SL only Paper 1 Time zone TZ0
Command term Find Question number 4 Adapted from N/A

Question

Albena travels to Bulgaria on a business trip. She is paid 3550 Bulgarian levs (BGN) at the end of her trip. She converts all her BGN into euros (EUR), at an exchange bureau that sells 1 EUR for 1.95 BGN and charges 3 % commission.

Calculate the amount that Albena receives in EUR.

[4]
a.

At the airport shop, Albena buys chocolates that cost 34.50 BGN. She uses 20 EUR to pay for the chocolates but receives her change in BGN. The shop’s exchange rate is 1 EUR = 1.90 BGN.

Find how many BGN she receives as change.

[2]
b.

Markscheme

\(\frac{{0.97 \times 3550}}{{1.95}}\)     (M1)(M1)(M1)

Note: Award (M1) for \(0.97\) seen, (M1) for \(0.97 \times 3550\), (M1) for division by \(1.95\).

 

OR

\((3550 - 0.03 \times 3550) \times \frac{1}{{1.95}}\)     (M1)(M1)(M1)

Note: Award (M1) for \(0.03 \times 3550\) seen, (M1) for subtracting \(0.03 \times 3550\) from \(3550\), (M1) for division by \(1.95\).

 

\( = 1765.90{\text{ (EUR)}}\)     (A1)     (C4)

a.

\(20 \times 1.90 - 34.50\)     (M1)

Note: Award (M1) for subtraction of \(34.50\) from their product of \(20 \times 1.90\).

 

\( = 3.50\,\,\,{\text{(BGN)}}\)     (A1)     (C2)

Notes: Award at most (M1)(A0) for an answer of \(4\), but only if working seen.

b.

Examiners report

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

Syllabus sections

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