In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III.
50% of those asked favoured proposal I, 30% favoured proposal II and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage of those asked favoured more than one of the three proposals?
Explanation:
Let ‘a’ be the percentage of people who favoured exactly one proposal, ‘b’ be the percentage of people who favoured exactly by two proposals and ‘c’ be the percentage of people who favoured exactly three proposals.
a + b + c = 78......(i) a + 2b + 3c = 100.....(ii)
(ii) – (i) implies b + 2c = 22 Since c = 5, b = 12
Required percentage = b + c = 12 + 5 = 17%.
Hence, option (c).
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