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Yuzu is a citrus fruit grown in Japan.

In the UK, 1 kg of yuzu costs £41.25.
In Japan, 1 kg of yuzu costs ¥2304.
The conversion rate between pounds (£) and Japanese yen (¥) is £1 = ¥144.

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.

b) Why do you think there is a difference between the cost of yuzu in the UK and in Japan? Write a sentence to explain your answer.

Answer :

Certainly! Let's solve the problem step-by-step:

### Part (a)

To find the difference in cost between purchasing 200 grams of yuzu in the UK and in Japan, we need to calculate the price for that specific amount in both countries and then convert the Japanese price to pounds using the given exchange rate.

1. Cost of 1 kg of Yuzu:
- In the UK: £41.25 per kg
- In Japan: ¥2304 per kg

2. Calculate the cost of 200 grams (0.2 kg):

- In the UK:
- Price for 1 kg is £41.25.
- Price for 0.2 kg = [tex]\((200 \text{ g} / 1000 \text{ g/kg}) \times £41.25 = £8.25\)[/tex].

- In Japan:
- Price for 1 kg is ¥2304.
- Price for 0.2 kg = [tex]\((200 \text{ g} / 1000 \text{ g/kg}) \times ¥2304 = ¥460.8\)[/tex].

3. Convert the cost from yen to pounds:
- Given that £1 = ¥144, we convert ¥460.8 to pounds:
- Cost in pounds = [tex]\(\frac{¥460.8}{144} = £3.20\)[/tex].

4. Calculate the difference in cost:
- Difference = Cost in the UK - Cost in Japan (converted to pounds)
- Difference = £8.25 - £3.20 = £5.05

So, the difference in the cost of 200 g of yuzu between the UK and Japan is £5.05.

### Part (b)

The difference in the cost of yuzu between the UK and Japan can be explained by several factors:

- Import Costs: Yuzu is grown in Japan, and when it's sold in the UK, there could be additional costs involved including shipping and handling, duties, and taxes which can increase the price.

- Market Demand and Supply: The availability and demand for yuzu in the UK might be different from Japan. In the UK, it might be considered a specialty item with lower supply and higher demand, hence a higher price.

- Distribution and Retail Markup: Imported goods often have a higher retail markup to cover the costs incurred in importing, storing, and selling the item in a different country.

These factors contribute to the price difference, making yuzu more expensive in the UK than in Japan.

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