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SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    Of the adult population in a certain city, 45% of men and 25% of women are married. Assuming that no man marries more than one women and vice-versa, the percentage of total population of adults who are married, is

    A) 33.33

    B) 32.14

    C) 31.1

    D) 30

    Correct Answer: B

    Solution :

    [b] Let total number of men \[=x\] and total number of women \[=y\] \[\therefore \] Number of married men \[=\frac{45x}{100}\] and number of married women\[=\frac{25y}{100}\] According to the question,             \[\frac{45x}{100}=\frac{25y}{100}\] \[\Rightarrow \]   \[y=\frac{9x}{5}\]                                             …(i) \[\therefore \] Total number of married adults             \[=\frac{45x}{100}+\frac{25y}{100}\]             \[=\frac{9x}{20}+\frac{9x}{20}\]                      [Using Eq. (i)]             \[=\frac{9x}{10}\] \[\therefore \] Required percentage \[=\frac{\frac{9x}{10}}{\frac{14x}{5}}\times 100\]                                     \[=32.14%\]


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