High School

Yuzu is a citrus fruit grown in Japan.

In the UK, 1 kg of yuzu costs £43.15.

In Japan, 1 kg of yuzu costs ¥2431.

The conversion rate between pounds (£) and Japanese yen (¥) is £1 = ¥143.

a) Use the information above to work out the difference between the costs of 200 g of yuzu in the UK and in Japan. Give your answer in pounds.

Answer :

Final answer:

The cost difference for 200g of yuzu between the UK and Japan is £5.23.

Explanation:

To calculate the difference in cost for 200g of yuzu between the UK and Japan, we'll first need to determine the price per kilogram in both currencies and then perform the necessary conversions.

First, we'll calculate the cost of 200g of yuzu in each country:

  • In the UK, 200g is 1/5 of a kilogram, so the cost is £43.15 × (1/5) = £8.63.
  • In Japan, the cost for 200g is £2431 × (1/5) = £486.2 yen.

Now we need to convert the cost from yen to pounds using the exchange rate £1 = £143. So, £486.2 converted to pounds is £486.2 / 143 = £3.40 approximately.

Finally, we'll find the difference in cost between the UK and Japan:

£8.63 (cost in the UK) - £3.40 (cost in Japan converted to pounds) = £5.23

So, the cost difference for 200g of yuzu is £5.23 in pounds.

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