This deep dive covers Advanced Exchange Rate Concepts within Exchange Rates for GCSE Mathematics. Revise Exchange Rates in Ratio & Proportion for GCSE Mathematics with 12 exam-style questions and 22 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 7 of 8 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Advanced Exchange Rate Concepts
Cross-Currency Calculations
Sometimes you need to convert between two currencies without a direct rate:
Problem: Convert €500 to Japanese Yen
Available rates: EUR/GBP = 0.87, GBP/JPY = 180
Solution:
Step 1: EUR → GBP: €500 × 0.87 = £435
Step 2: GBP → JPY: £435 × 180 = ¥78,300
Percentage Changes in Exchange Rates
Exchange rates fluctuate - understanding the impact:
Example: GBP/USD rate changes from 1.25 to 1.30
Percentage change: (1.30 - 1.25) ÷ 1.25 × 100% = 4% stronger
Impact: £100 now buys $130 instead of $125 (extra $5)
Best Value Calculations
Comparing different exchange services:
| Service | Rate (GBP/EUR) | Commission | €500 costs |
|---|---|---|---|
| Bank A | 1.12 | 2% | £459.18 |
| Bank B | 1.10 | 0% | £454.55 |
| Online Service | 1.15 | £3 fixed | £437.87 |
Online service offers best value despite the fixed fee.
Practice questions for Exchange Rates
The exchange rate is £1 = €1.15. How many euros would you get for £100?
The exchange rate is £1 = $1.25. A jacket costs £89 in the UK and $105 in the USA. In which country is the jacket cheaper? Show your working.