i think solution is XXXXX (Question:263580.0)

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keshav kumar

· started a discussion

· 1 Months ago

i think solution is XXXXX (Question:263580.0)

1. 500 peole voted FOR the bill( you either mean this) or
2. 500 people voted in election.
you took second case ok
500-x is initail number of supporter to bill
500-2x is after supporter
so initially 300 for, 200 against => majority of 100.
now finally A/Q rejected by 3 * initial majority. => 100*3=300
so total vote against bill = 300+200=500 which is total strength. so you cant mean that.
so lets say you meant total extra votes against bill this time, which is =300
even then it is not 100% increment to people voteing against bill initially, which is 200 according to you and so increment value should be 200*2=400, but it is 300 only.

Question:

A total of 500 people voted for a resolution, but after some discussion, the opponents were increased by 100%. The motion was then rejected by a majority, three times as great as that by which it was formerly passed. How many voted for and how many voted against the resolution initially?

Options:

100 (for); 400 (against)

300 (for); 100 (against )

300 (for); 200 (against )

200 (for); 200 (against)

Solution:

Ans: (c)

Let the number of opponents be x.

So, number of supporters = 500 - x

After discussion, number of opponents = 2x

And number of supporters = 500 - 2x

According to the question,

500 - x = 3(500 - 2x)

1500 - 6x = 500 - x

1000 = 5x

x = 1000/5 = 200

Number of supporters = 500 - 200 = 300

Alternatively:

Add to existing solution.

2x - 500 + 2x = 1500 - 6x

4x - 500 = 1500 - 6x

or 10x = 2000

x = 200

Hence, 300 for and (500 – x) are against.

Therefore, 300 (for) and 200 (against) .

jitendra burdak

· commented

· 1 Months ago

It's correct, he is asking about the previous data, after discussion 400 against and 100 for
i.e. majority of 300
Earlier against were 200 and 300 for so
Majority was 100
I hope you're getting my point

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