High School

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Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss francs). In Manchester, an identical watch costs 145 pounds. Given that 1 pound = 1.55 CHF, which watch is cheaper? Calculate the cost difference between the two watches.

Answer :

Answer:

Part a) In Geneva the watch is cheaper

Part b) The watch in Geneva is [tex]\£20[/tex] cheaper than the same watch in Manchester

Step-by-step explanation:

The question is

a) In which city is the watch cheaper?

b) By how much is it cheaper (in £)?

Part a)

Transform [tex]CHF\ to\ \£[/tex] in order to work with the same currency and make the comparison

If [tex]\£1=1.55CHF[/tex]

[tex]193.75\ CHF=193.75(\frac{1}{1.55})=\£125[/tex]

Now we can make the comparisons:

In Geneva the watch costs

[tex]\£125[/tex]

and

in Manchester it costs

[tex]\£145[/tex]

[tex]\£125 < \£145[/tex]

therefore

In Geneva the watch is cheaper

Part b)

If we want to know by how much is cheaper, subtract from the expensive price the value of the cheaper price

[tex]\£145-\£125=\£20[/tex]

Therefore

The watch in Geneva is [tex]\£20[/tex] cheaper than the same watch in Manchester

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Rewritten by : Barada

Final answer:

To compare the cost of the watch in two currencies, we convert the Swiss franc price into British pounds, finding the watch cheaper in Geneva. Investors profit by anticipating currency changes, such as a rising British pound value against the U.S. dollar.

Explanation:

The student's question involves comparing the cost of an identical item in two different currencies and determining which buying option would be most cost-effective given the current exchange rate. To evaluate this, we should express both prices in the same currency. In this case, we'll convert the price of the watch in Swiss francs (CHF) to British pounds (£), using the exchange rate provided (1 pound = 1.55 CHF).

The cost of the watch in Geneva is 193.75 CHF. Using the exchange rate:

  • 193.75 CHF × (1 GBP / 1.55 CHF) = 125 GBP

Hence, Toby would find the watch to be cheaper in Geneva when converted to British pounds.

An international investor, on the other hand, anticipates changes in currency value to make profits. If the investor expects the British pound to increase in value relative to the U.S. dollar, they might convert U.S. dollars to British pounds and then convert back after the pound's value has risen, resulting in a profit.