Students in a college are discussing two proposals --
1: a proposal by the authorities to introduce dress code on campus, and
2: a proposal by the students to allow multinational food franchises to set up outlets on college campus.
A student does not necessarily support either of the two proposals.
In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates.
A survey was conducted among the students by picking a sample of 500 students. The following information was noted from this survey.
1. 250 students supported proposal 1 and 250 students supported proposal 2.
2. Among the 200 students who preferred Sunita as student union president, 80% supported proposal 1.
3. Among those who preferred Ragini, 30% supported proposal 1.
4. 20% of those who supported proposal 2 preferred Sunita.
5. 40% of those who did not support proposal 2 preferred Ragini.
6. Every student who preferred Sunita and supported proposal 2 also supported proposal 1.
7. Among those who preferred Ragini, 20% did not support any of the proposals.
Q. How many of the students surveyed supported proposal B, did not support proposal A and preferred Ragini as student union president?