Question

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 proposal?

(a) 10
(b) 12
(c) 17
(d) 22​

Answer 1

Answer:

This is a simple question to answer. Just thought of posting it with solution:

Let p, q and r be the percentages of people who favour exactly two proposals – I & II, II & III and III & I respectively. Then,

50 + (30 - p - 5) + (20 -q - r - 5)

= 78 p+ q + r =12

So, more than one proposal = p + q + r + 5

= 12 + 5 = 17.

Step-by-step explanation:

Hope it helps:)

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