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:

The correct answer is 1 only.

Here is the detailed step-by-step explanation of the solution:

Step 1: Understand the given data
Let the total number of members in the club be represented as 100%.
According to the problem:
- Percentage of members who took rest in the hotel = 10%
- Percentage of members who went for shopping = 80%
- Percentage of members who went for sightseeing = 50%

Step 2: Find the percentage of members who participated in activities
Since 10% of the members took rest in the hotel, the remaining members went for shopping, sightseeing, or both.
Percentage of members who went for at least one activity:
$$\text{Members who went out}=100\%-10\%=90\%$$

Step 3: Define set notations for the activities
Let:
- $S$ be the set of members who went for shopping, so $P\left(S\right)=80\%$.
- $V$ be the set of members who went for sightseeing, so $P\left(V\right)=50\%$.
- The union of the two sets represents members who did at least one activity: $P(S\cup V)=90\%$.

Step 4: Analyze Conclusion 1
We need to find the percentage of members who went for both shopping and sightseeing, which is the intersection of set $S$ and set $V$, represented as $P(S\cap V)$.
Using the set theory formula:
$$P(S\cup V)=P\left(S\right)+P\left(V\right)-P(S\cap V)$$
Substitute the known values into the equation:
$$90\%=80\%+50\%-P(S\cap V)$$
$$90\%=130\%-P(S\cap V)$$
$$P(S\cap V)=130\%-90\%=40\%$$
Thus, 40% of the members went for shopping as well as sightseeing. This means Conclusion 1 is correct.

Step 5: Analyze Conclusion 2
We need to calculate the percentage of members who went for only shopping.
This is calculated by subtracting the percentage of members who went for both activities from the total percentage of members who went for shopping:
$$\text{Members who went for only shopping}=P\left(S\right)-P(S\cap V)$$
$$\text{Members who went for only shopping}=80\%-40\%=40\%$$
Since the actual percentage of members who went for only shopping is 40%, the statement "20% members went for only shopping" is incorrect. This means Conclusion 2 is incorrect.

Conclusion:
Since only Conclusion 1 can be logically drawn from the data, the correct option code is 1 only.