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

Given:

Percentage of illiterate adults= 40. 1 $% \approx$ 40 $%$ Percentage of literate children=85.1%=85% The ratio of the adults to that of children=2:3 Calculations:
Let the total adult be 2x and children be 3x
Total population= 2x+ 3x= 5x
Total illiterate adults $= 2 x \times 40/100 = 4 x /5$
Total literate adults=2x-4x/5=6x/5
Total literate children=3x×85/100=51x/20
Total literate $= (6 x /5) + (51 x /20)$
$\Rightarrow (24 x + 51 x) /20 = 75 x /20$
Percent of the literate population $= ((75 x /20) \div 5 x) \times 100 = 75%$
$∴$ Percent of the literate population is 75%