Question
In a club of singers and dancers, 10% of the artists
are absent on a particular day and 90% of the present artists are dancers. If 2,250 singers are present on that particular day, find the total number of artists in that club?Solution
Let, total number of artists be x. Total number of present artists = 90% of x ∴ Number of singers who are present = 10% of 90% of x As per the question, number of present singers = 2,250  ∴ 10% of 90% of x = 2,250 ⇒ x = (2250 × 100 × 100 )/(10 × 90) = 25,000 ∴ Total number of artists= 25,000.
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