Question

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 :
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(a) Neither 1 nor 2​

Answer 1

Given :

80% of the club members went for shopping and 50% went for sightseeing, whereas 10% took rest in the hotel.

To Find :

Percentage of members went for shopping as well as sightseeing.

Solution :

Percentage of members went for shopping  = 80%

percentage of members went for sightseeing = 50%

Percentage of members took rest in the hotel = 10%

Members who either went for shopping or sightseeing or both

= 100% - 10% = 90%

Members who went for both shopping and sightseeing

= 80% + 50% - 90% = 40%

Members who went only for shopping = 80% - 40% = 40%

40% members went for shopping as well as sightseeing.

and 40% members went for only shopping.

Therefore, first statement is correct and second statement is incorrect.

Option (a) 1 only is correct.