Question

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10%are illiterate. What percentage of the poor population is illiterate?
(A)$36\% $
(B)$40\% $
(C)$60\% $
(D)None of these

Answer 1

Hint: In this type of questions you should know the formula for the percentage. So during application of this formula you should confirm what is the name of the thing, material or any other thing whose percentage is asked.
   Out of $40\% $ illiterates, there are $4\% $rich and $36\% $ should be poor
    Let total number of people $ = 100$
  Formula for percentage of illiterate population which is poor $ = $(Illiterate poor$/$Poor people)$ \times 100$
   Percentage of poor illiterate $ = $ Illiterate people percentage $ - $rich illiterate percentage

Complete step by step solution:
Let total number of peoples $ = 100$
Then $40$ are illiterate and $60$ are poor, so $40$ are rich
Since,$10$ percent of the rich are illiterate ,
$\therefore $using formula (given in Hint)
Thus, $\dfrac{{40 - 4}}{{100}}$
     $
   = \dfrac{{36}}{{100}} \\
   = 36\% \\
 $
$ \Rightarrow $$36\% $ of the population is illiterate poor
Percentage of illiterate population which is poor $ = $$\dfrac{{36\% }}{{60\% }} \times 100$
$ \to 36\% = $population is illiterate poor
$ \to 60\% $$ = $poor population
$ = $$\dfrac{{\dfrac{{36}}{{100}}}}{{\dfrac{{60}}{{100}}}} \times 100$
$ = \dfrac{{36}}{{60}} \times 100$
$ = 60\% $
Which is the required solution.
So, the correct option is C.

Note: A statement is a group of words arranged to form a meaningful sentence so In this type of questions students can get confused in the illiterate poor and illiterate population which is poor.