Multiple choice

In a city (\frac{2}{3})rd of the total population are male population and rest are females, 80% of the males and 70% of the females are literate. 40% of the literate males and 30% of the literate females are graduate. 20% of the graduate males and 25% of the graduate females are government employee. Find the percentage of the total government employee with respect to the total populations.

  1. $5.94$
  2. $5.8$
  3. $6.20$
  4. $6.50$
  5. Cannot be determined

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Working through percentages sequentially: Males = 2/3 of population. Literate males = 80% of 2/3 = 53.33%. Graduate males = 40% of 53.33% = 21.33%. Government male employees = 20% of 21.33% = 4.27% of total. Similarly, females = 1/3, literate females = 23.33%, graduate females = 7%, government female employees = 1.75%. Total = 4.27 + 1.75 = 6.02%. However, without knowing the actual population numbers, we cannot determine the exact percentage.