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In an election, 40% of the candidates who stand for election are women and 50% of women are married. If 40% of total candidates are married and married male candidates are equal to 10,000, what is the total number of candidates standing for election?

In an election, 40% of the candidates who stand for election are women and 50% of women are married. If 40% of total candidates are married and married male candidates are equal to 10,000, what is the total number of candidates standing for election? Correct Answer 50,000

Given:

In an election, 40% of the candidates who stand for election are women and 50% of female candidates are married.

40% of total candidates are married and married male candidates are equal to 10,000.

Concepts used:

Total married candidates = Married male candidates + married female candidates

Total candidates standing for election = Male candidates + female candidates

Calculation:

Let the total number of candidates standing for election be x.

40% of the candidates who stand for election are women.

⇒ Female candidates = 0.40x

⇒ Male candidates = x - 0.40x = 0.60x

40% of total candidates are married.

⇒ Total married candidates = 0.40x = 2x/5

50% of female candidates are married.

⇒ Married female candidates = 50% of 0.40x = x/5

⇒ Married male candidates = 2x/5 - x/5 = x/5

Married male candidates are equal to 10,000.

⇒ x/5 = 10,000

⇒ x = 10,000 × 5

⇒ x = 50,000

∴ Total number of candidates standing in election are equal to 50,000.

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