Question

5/9 part of the population in a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is:

• A. 70%
• B. 40%
• C. $27\frac{7}{9}\%$
• D. 20%

Answer 1

The correct option is C $27\frac{7}{9}\%$

$Let,totalpopulation=x$

$Males=\frac{5}{9}x$

$Marriedmales=30\%of\frac{5}{9}x$

$=\frac{30}{100}\times \frac{5}{9}x=\frac{x}{6}$

$Marriedfemales=\frac{x}{6}$

$Totalfemales=(x-\frac{5}{9}x)=\frac{4x}{9}$

$Unmarriedfemales=(\frac{4x}{9}-\frac{x}{6})=\frac{5x}{18}$

$\therefore Requiredpercentage$

$=(\frac{5x}{18}\times \frac{1}{x}\times 100)\%$ $=27\frac{7}{9}\%$