in an election between two candidates a candidate who gets 40..., Percentage, General Mathematics

Question:In an election between two candidates, a candidate who gets `40%` of total votes is defeated by `15000` votes. The number of votes polled by the winning candidate is :

A `6000` 
B `10000` 
C `22500` 
D `45000`

/114

+ AnswerD

+ ExplanationLet the votes polled by the winning candidate be x.

Defeated candidate gets` (x - 15000)` votes.

`40% of [x + (x - 15000)]`

`= (x - 15000)`

`2/5 (2x - 15000)`

`= x - 15000`

`or 4x - 30000`

`= 5x - 75000`

`or x = 45000.`

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