Final answer:
The total number of tourists arriving to visit Nepal is calculated using the principle of inclusion-exclusion and it is found to be 2500. This number is obtained by solving the equation that represents the given percentages and the fact that 250 tourists have visited both Pokhara and Lumbini. None of the above option is correct.
Step-by-step explanation:
To find the total number of tourists arriving to visit Nepal given the constraints, we start with the principle of inclusion-exclusion in probability and set theory. We know the following:
40% of tourists have visited Pokhara.
30% have visited Lumbini.
40% have not visited any of the places.
250 tourists have visited both places.
Let's denote the total number of tourists as T. Since 40% have not visited any of the places, it means 60% have visited at least one of the two places. The sum of percentages of tourists visiting Pokhara and Lumbini (70%) includes those who have visited both places (which is counted in both the 40% and 30%, therefore overcounting). To remedy this, we use the formula:
Percentage of at least one visit = Percentage visiting Pokhara + Percentage visiting Lumbini - Percentage visiting both
Since we know that 60% have visited at least one, we set up the equation:
60% of T = 40% of T + 30% of T - 250
Now we can solve for T:
60% of T = 70% of T - 250
10% of T = 250
T = 2500
Therefore, the total number of tourists is 2500. To find the number of individuals, we do not need to convert percentages into a fraction. The correct option in the context of this question is not listed in the provided choices, as they are all smaller than the calculated number of tourists.
None of the above option is correct.