Final answer:
Rita loses approximately £100.05 in the process of converting £400 to Egyptian Pounds and then back to British pounds, due to the difference in selling and buying exchange rates.
Step-by-step explanation:
To calculate how much money Rita loses in the conversion back to British pounds, we need to use the given selling and buying rates for the currency exchange.
First, Rita converts £400 to Egyptian Pounds using the selling rate:
£1 = EG 9.787, so £400 = 400 * 9.787 = EG 3914.8
Next, when the holiday is cancelled, she converts EG 3914.8 back to British pounds using the buying rate:
£1 = EG 13.0409, so EG 3914.8 = 3914.8 / 13.0409 ≈ £299.95
Now, we need to find the difference between the original amount in British pounds and what she gets back:
£400 - £299.95 = £100.05
Therefore, Rita loses approximately £100.05 in the process of converting back to British pounds.