Question

In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?; In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?

Answer 1

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let the people in the city be 100

Congress supporters = 60% of 100 = 60

40% are BJP=40% of 100 = 40

out of 60,75% voted for congress=75%(60)=45

out of 40%,20% voted for congress=20%(40)=8

Total=45 + 8 = 53

Total percent= 53%

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Answer 2

Answer:

60% of the registered voters are congress supporters

We are given that rest are BJP supporters

So,1005-60% = 40% of the registered voters are BJP supporters

Percentage of registered voters of congress supporters are expected to vote = 75%

So, registered voters of congress supporters are expected to vote = 75% of 60%

                                                                                                                = $0.75 \times 0.60$

Percentage of registered voters of BJP supporters are expected to vote = 20%

So, registered voters of BJP supporters are expected to vote = 75% of 60%

                                                                                                                = $0.20 \times 0.40$

Total percentage of registered voters are expected to vote for candidate :

$0.75 \times 0.60+0.20 \times 0.40$

$0.53$

53%

Hence 53% of the registered voters are expected to vote for candidate A