NIMCET 2020 — Reasoning PYQ

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Question

NIMCET 2020 — Reasoning PYQ

NIMCET | Reasoning | 2020

In a city, 40.1% of the adults are illiterate while 85.1% of the children are literate. If the ratio of the adults to that of thechildren is 2 ∶ 3, then what percent of the population is literate?

Choose the correct answer:

Explanation

1. Assume Values Based on the Ratio:

The ratio of adults to children is given as 2 : 3. To make calculations simple, let's assume:

Number of adults = 200
Number of children = 300

$Total population = 200 + 300 = 500$

2. Calculate Literate Adults:

Percentage of illiterate adults = 40%
Therefore, percentage of literate adults = $100% - 40% = 60%$

$Number of literate adults = 60% of 200 = \frac{60}{100} \times 200 = 120$

3. Calculate Literate Children:

Percentage of literate children = 85%

$Number of literate children = 85% of 300 = \frac{85}{100} \times 300 = 255$

4. Find Total Literate Population and Percentage:

$Total literate population = 120 + 255 = 375$

Now, find the overall percentage of the literate population:

$Literate percentage = (\frac{Total Literate Population}{Total Population}) \times 100$

$Literate percentage = (\frac{375}{500}) \times 100 = 75%$

Correct Answer: D) 75%