62.5% of the entire village decided to select Aamir as president and t

1.	62.5% of the entire village decided to select Aamir as president and the rest wantedto select for candidate Bilal. During Selection 50% of the villagers who wanted toselect Aamir voted for Bilal and 30% of the villagers who wanted to select Bilal votedfor Aamir. Bilal won by 45,000 votes. Then find the total no of people in the village.
Answer» Answer: 300000 Step-by-step EXPLANATION: Let the VILLAGE have X villagers. 62.5% of x SUPPORTED Aamir ⇒37.5% of x supported Bilal Bilal's votes 50% of (Aamir supporters)+70% of (Bilal supporters) =( $\frac{50}{100}$ × $\frac{62.5}{100}$ × $x$ ) + ( $\frac{70}{100}$ × $\frac{37.5}{100}$ × $x$ ) = $\frac{31.25}{100}x$ + $\frac{26.25}{100}x$ = $\frac{57.5}{100}x$ Aamir's votes $\frac{100}{100}x - \frac{57.5}{100} x$ = $\frac{42.5}{100}x$ Given, Bilal won by 45000 votes. So, $\frac{57.5}{100}x-\frac{42.5}{100}x=45000$ $\frac{15}{100}x = 45000$ $x= 45000$ × $\frac{100}{15}$ $x=300000$