Indian Institute of Foreign Trade 2010 Solved Paper

Question : 21 of 135

Marks: +1, -0

A survey shows that 61%, 46% and 29% of the people watched “3 idiots”, “Rajneeti” and “Avatar” respectively. 25% people watchedexactly two of the three movies and 3% watched none. What percentage of people watched all the three movies?

Validate

Solution:

Let the number of people who watched exactly one movie be 'a', the number of people who watched exactly two movies be 'b' and the number of people
who watched exactly three movies be 'c'
Then,

a+b+c=100-3=97

..........(i)
also, a + 2b + 3c = 61 + 46 + 29 = 136 ...(ii)
On subtracting (i) from (ii), we get
b + 2c = 39
It is given that, b = 25
So, c = 7
Therefore, 7% people watched all the three movies.
Hence, option D is the correct answer.

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