In an office, 76% of the number of females is equal to the one-third of the number of males. What is the ratio of number of males to that of the females in the office? 

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  1. 57 : 25
  2. 25 : 57
  3. 43 : 19
  4. 19 : 43

Answer (Detailed Solution Below)

Option 1 : 57 : 25
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Detailed Solution

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Given:

76% of the number of females = (1/3) × number of males

Calculation:

Let the number of females be F and the number of males be M.

According to the given condition:

76% of F = (1/3) × M

⇒ (76/100) × F = M/3

⇒ (19/25) × F = M/3

⇒ M/3 = (19/25) × F

⇒ M = 3 × (19/25) × F

⇒ M = (57/25) × F

⇒ M / F = 57 / 25

∴ The ratio of the number of males to that of the females in the office is 57:25.

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