2 (a) Chen asks some people if they prefer a beach, cruise, lake or mountain holiday. The pie chart shows the results. Mountain Beach 120° 135° 75° 30° Lake Cruise (i) Find the fraction of people who prefer a mountain holiday. Give your answer in its simplest form. ................................................. [2] (ii) Find the percentage of people who prefer a beach holiday. ..............................................% [1] (iii) Find the ratio of people who prefer each type of holiday in the form beach : cruise : lake : mountain. Give your answer in its simplest form. .................... : .................... : .................... : .................... [2] (iv) One person is chosen at random. Find the probability that this person prefers a cruise or a lake holiday. ................................................. [2] (v) 675 people prefer a beach holiday. Show that the total number of people Chen asks is 1800. [1] © UCLES 2024 0580/31/M/J/24 5 (vi) (a) Complete the table. Type of holiday Pie chart sector angle Frequency Beach 135° 675 Cruise 30° 150 Lake 75° Mountain 120° [2] (b) Complete the bar chart, including the scale on the frequency axis. Frequency 0 Beach Cruise Lake Mountain [3] (b) Mr Gibb pays $2208 for a holiday. Mr Shah pays 2050 euros for the same holiday. The exchange rate is 1euro = $1.15 . Work out how much more, in euros, Mr Shah pays for the holiday than Mr Gibb. ........................................ euros [2] © UCLES 2024 0580/31/M/J/24 [Turn over 6