Currency Conversion & Units

Dr. Davinder Bhachu & Nick Featherstone

Teachers

Dr. Davinder Bhachu Nick Featherstone

Introduction - Currency Conversion & Units

How do I do currency conversions?

Amount in New Currency = Amount in Original Currency x Exchange Rate.

Example

What is in USD?

No answer provided.

Why are currency and unit conversions tested in the UCAT?

Conversions are something that students typically find challenging and can help distinguish top-performing candidates.

Explainer Video

Filmed by our Maths department, this video walks through currency and unit conversions from first principles.

Worked Examples

Question 1 - Easy

Liam is traveling from the UK to Italy and wants to buy euros. The exchange rate is: At the airport, there's a commission fee applied to the amount exchanged.

Liam exchanges .

How many euros does Liam receive after the commission is applied?

Answer

Worked solution

  • Commission of

  • Total exchanged

  • Convert to euros

Question 2 - Medium

An event agency is promoting concerts in two countries: the UK and the USA. The table below shows the cost to run promotional banners of different sizes in each country’s main media outlets.

Advertisement Prices

Ad Size (cm)

UK Price (£)

USA Price ($)

24 x 10

£6,120

$8,400

22 x 5

£4,180

$5,700

8 x 10

£2,350

$3,200

The current exchange rate is . How much more does it cost in GBP to run two ads and one ad in the USA than to run four ads in the UK?

Answer

Worked Solution

  • USA Ads Total

    • Total

    • Convert to GBP

  • UK Ads Total

    • Difference

Question 3 - Hard

A UK-based design firm books a conference booth and catering in Canada and Japan, paying in GBP but dealing with CAD and JPY suppliers.

Exchange Rates:

They initially pay:

  • for the booth

  • for catering

Later, they cancel the catering and receive a refund, which is returned in GBP using the current exchange rate of .

There is a processing fee applied only to the refunded amount in GBP.

What is the final total amount paid in GBP after the refund and fee are accounted for?

Answer

Worked Solution

  • Booth in GBP

  • Catering in GBP

  • Refund (Catering in Canadian Dollars)

  • Convert to GBP

  • 5% processing fee applied to refund =

  • Actual Refund received

  • Final amount paid

Worked Examples Video