All members of a club went to Mumbai and stayed in a hotel. On the first day, 80% went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel. Which of the following conclusion(s) can be drawn from the above data?
1. 40% members went for shopping as well as sightseeing.
2. 20% members went for only shopping.

Select the correct answer using the code given below:

Correct Option: Neither 1 nor 2

Let the total number of members be 100. Let S be the percentage of members who went for shopping (80%) and T be those who went for sightseeing (50%). Given that 10% took rest, the percentage of members who went for at least one activity (shopping or sightseeing) is 100% - 10% = 90%. Using the principle of inclusion-exclusion: Total (S union T) = S + T - (S intersection T) => 90 = 80 + 50 - (S intersection T) => 90 = 130 - (S intersection T) => S intersection T = 40%. Thus, 40% members went for both shopping and sightseeing, making statement 1 correct. For statement 2: Members who went for *only* shopping = S - (S intersection T) = 80% - 40% = 40%, not 20%. Therefore, statement 2 is incorrect. Hence, only statement 1 is correct.