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In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate?
  • a)
    20%
  • b)
    25%
  • c)
    50%
  • d)
    75%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In a city, 40% of the adults are illiterate while 85% of the children ...
The given information is:
- 40% of the adults are illiterate.
- 85% of the children are literate.
- The ratio of adults to children is 2:3.

To find: The percentage of the population that is literate.

Explanation:

Let's consider a population of 100 individuals for easier calculations.

Step 1: Calculate the number of adults and children
- Let the number of adults be 2x.
- Let the number of children be 3x.

Since the ratio of adults to children is 2:3, the total population is 2x + 3x = 5x.

Step 2: Calculate the number of illiterate adults and literate children
- 40% of adults are illiterate, so the number of illiterate adults is 40/100 * 2x = 0.4 * 2x = 0.8x.
- 85% of children are literate, so the number of literate children is 85/100 * 3x = 0.85 * 3x = 2.55x.

Step 3: Calculate the total number of illiterate individuals
The total number of illiterate individuals is the sum of illiterate adults and illiterate children:
- Total illiterate individuals = 0.8x + 0 = 0.8x.

Step 4: Calculate the total number of literate individuals
The total number of literate individuals is the sum of literate adults and literate children:
- Total literate individuals = 2x - 0.8x + 2.55x = 3.75x.

Step 5: Calculate the percentage of the population that is literate
The percentage of the population that is literate is given by:
- Percentage of literate individuals = (Total literate individuals / Total population) * 100
= (3.75x / 5x) * 100
= 75%

Therefore, 75% of the population is literate.

Conclusion:
The correct answer is option D) 75%.
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In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2 : 3, then what percent of the population is literate?a)20%b)25%c)50%d)75%Correct answer is option 'D'. Can you explain this answer?
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