| Date | May 2013 | Marks available | 4 | Reference code | 13M.1.sl.TZ2.12 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Calculate | Question number | 12 | Adapted from | N/A |
Question
Yoshi is spending a year travelling from Japan to Italy and then to the United States of America.
Before Yoshi leaves Japan he changes 100 000 Japanese Yen (JPY) into euro (EUR). The exchange rate is 1 JPY = 0.006 EUR.
Calculate the amount Yoshi receives, in EUR.
Yoshi spends 426.70 EUR in Italy. In an American bank he changes the remaining amount, into US dollars (USD), at an exchange rate of 1 USD = 0.673 EUR.
The bank charges 1.5 % commission.
Calculate the amount, in USD, Yoshi receives after commission. Give your answer correct to the nearest USD.
Markscheme
\(0.006 \times 100000\) (M1)
Note: Award (M1) for multiplication by 0.006.
\( = 600\) (A1) (C2)
\(\frac{{(600 - 426.70)}}{{0.673}} \times 0.985\) (M1)(M1)(M1)
Note: Award (M1) for subtracting 426.70 from their answer to part (a), (M1) for division by 0.673, (M1) for multiplication by 0.985 (or equivalent).
OR
\(\frac{{173.30 - (600 - 426.70) \times 0.015}}{{0.673}}\) (M1)(M1)(M1)
Note: Award (M1) for subtracting 426.70 from their answer to part (a), (M1) for division by 0.673, (M1) for multiplication by 0.015 (or equivalent) and subtraction from their 173.30.
254 (A1)(ft) (C4)
Notes: Follow through from their part (a). In order to award the final (A1)(ft) the answer must be given correct to the nearest dollar. If division used in part (a) and multiplication in part (b) award at most (M1)(M1)(M1)(A0).
