Question

. 2/5 of the voters promise to vote for Mulayam Singh and rest promise to vote

Mayawati. On election day 15% of the voters went back on their promise to vote for

Mulayam Singh & 25% of the voters went back on their promise to vote for

Mayawati. Mayawati won by 1500 votes. Find the total number of voters.​

Answer 1

The total number of voters = 4286.

Step-by-step explanation:

• We assume, number of total votes = x

Since, 2/5 of the total voters promise to vote for Mulayam Singh.

• But, 15% of the voters went back on their promise to vote for Mulayam Singh

• Therefore, Voters premises to vote for Mulayam Singh = $x \times \dfrac{2}{5}$

= $\dfrac{2x}{5}$

• But, 15% voters went back on their premises.

• So, Mulayam Singh got votes = $\dfrac{2x}{5}- \left ( \dfrac{2x}{5}\times \dfrac{15}{100} \right )$

By solving it, we get.

• Mulayam Singh got votes =

Now, Rest promises to Vote for Mayawati. It means (x-2x/5) = 3x/5 promises to vote for Mayawati.

But, 25% voter went back on their promises.

• Thus, Mayawati got votes = $\dfrac{3x}{5} - 25% of \dfrac{3x}{5}$

= $\dfrac{3x}{5} - \dfrac{3x}{20}$

= $\dfrac{9x}{20}$

Finally, Mayawati wons by 1500 votes.

So, Mayawati - Mulayam = 1500

• $\dfrac{9x}{20} - \dfrac{x}{10} = 1500$

x = 4285.71.

Number of voters can't be in decimal number. It means x = 4286.

Thus the total number of voters = 4286.

Answer 2

Answer:

Step-by-step explanation:

let total votes be 100

so Mayawati promised votes = 3/5*100 = 60;

Mulayam Singh's promised votes = 2/5*100=40;

As promised 25% voters of Mayawati went back on their promise so,

Mayawatai expected votes = 60 - 60*1/4 = 45

theses votes will be transfered to mulayam singh so Mulayam's expected votes = 40 + 60*1/4 = 55;

As promised 15% voters of Mulayam Singh went back on their promise so,

Mulayam expected votes = 40 + 60*1/4 -40*15/100 = 49

theses votes will be transfered to Mayawati

So Mayawati's expected votes = 60 - 60*25/100 + 40*15/100  = 51

hence total win difference = 51-49 = 2;

2= 1500

=> 100 = 1500/2*100 = 7500 Answer