Multiple choice

The population of a town is $155625$. For ever $1000$ males there are $1075$ females. If $40\%$ of the males and $24\%$ of the females are literate, find the percentage of literacy in the town.

  1. $33.7$
  2. $32.7$
  3. $31.7$
  4. $30.7$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio M:F = 1000:1075 = 40:43. Total parts = 83. Males = (40/83)*155625 = 75000. Females = (43/83)*155625 = 80625. Literate males = 0.4*75000 = 30000. Literate females = 0.24*80625 = 19350. Total literate = 49350. Percentage = (49350/155625)*100 = 31.7%.

AI explanation

Assume the number of males is 1000, so the number of females is 1075, making the total population 2075. The number of literate males is 40% of 1000, which is 400, and the number of literate females is 24% of 1075, which is 258. The total number of literate people is 400 plus 258, equaling 658. The literacy percentage is (658 divided by 2075) multiplied by 100, which equals 31.7%.

Keep practicing — related questions