UCAT currency conversion questions

If the rate is euros per pound, pounds to euros is multiply; euros to pounds is divide. Take any fee off in the currency it is charged in, before converting. Try two below.

By Shrey, Cambridge studentUpdated
Quantitative Reasoning · Question 1 of 20:00 / 0:43

An exchange office offers €1.20 for £1, with no fee. How many euros are received for £240?

Worked answers

1. An exchange office offers €1.20 for £1, with no fee. How many euros are received for £240?

Answer: D: €288.00

  1. Euros received = 240 × 1.20.
  2. Amount received = €288.00.
2. An exchange service deducts a fee of £7 from the amount handed over, then exchanges the remainder at €1.18 per £1. How many euros does a customer receive for £500?

Answer: B: €581.74

  1. Sterling exchanged = £500 − £7 = £493.
  2. Euros received = 493 × 1.18 = €581.74.

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Multiply or divide?

Rate givenYou haveDo this
€1.20 per £1PoundsMultiply by 1.20
€1.20 per £1EurosDivide by 1.20
£0.85 per €1EurosMultiply by 0.85

Sense-check: a pound buys more than one euro here, so a euro total must be bigger than the pound total.

Fees and commission

  • A flat fee in pounds comes off the pounds before converting.
  • A percentage commission on the amount exchanged multiplies by (1 − rate).
  • Two conversions in a row: do them in order and round only at the end.

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