Let’s determine where it is cheaper to buy the air ticket and by what percent.
### Step 1: Understand the given costs
- The cost of the ticket in London is £820.
- The cost of the ticket in Nepal is Rs. 125,000.
### Step 2: Consider the exchange rate
- Assume the exchange rate is 1 pound (£) = 150 Nepali rupees (Rs).
### Step 3: Convert the cost of the ticket in London to Nepali rupees
To find out how much the ticket costs in Nepali rupees if purchased in London, multiply the cost in pounds by the exchange rate.
[tex]\[ \text{Cost in London (in NPR)} = 820 \times 150 = 123,000 \text{ NPR} \][/tex]
### Step 4: Compare the converted cost in London to the cost in Nepal
- Cost in London in NPR: 123,000 NPR
- Cost in Nepal: 125,000 NPR
Clearly, 123,000 NPR (if purchased in London) is less than 125,000 NPR (if purchased in Nepal).
So, it is cheaper to buy the ticket in London.
### Step 5: Calculate the percentage difference
To find the percentage difference between the costs in the two locations, we use the formula for percentage difference:
[tex]\[
\text{Percentage Difference} = \left( \frac{\text{Difference in Cost}}{\text{Original Cost}} \right) \times 100
\][/tex]
Since it is cheaper in London, the percentage difference is calculated taking the cost in Nepal as the original cost:
[tex]\[
\text{Difference in Cost} = 125,000 - 123,000 = 2,000 \text{ NPR}
\][/tex]
[tex]\[
\text{Percentage Difference} = \left( \frac{2,000}{125,000} \right) \times 100 \approx 1.6\%
\][/tex]
### Conclusion
- It is cheaper to buy the ticket in London.
- The cost is approximately 1.6% cheaper in London compared to Nepal.
Thus, purchasing the ticket in London will save around 1.6% compared to purchasing it in Nepal.
