| Date | November 2014 | Marks available | 4 | Reference code | 14N.1.sl.TZ0.4 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Calculate | 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.
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.
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)
\(20 \times 1.90 - 34.50\) (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.
