Aspire Faculty ID #9481 · Topic: NIMCET 2020 · Just now
NIMCET 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 the children is 2:3, then what percent of the population is literate?

Solution

Let total population be $100$ (as given). Ratio of adults : children $= 2 : 3$ 
So, total parts $= 2 + 3 = 5$ 
Adults $= \dfrac{2}{5} \times 100 = 40$ 
Children $= \dfrac{3}{5} \times 100 = 60$ 
Now use literacy data: For adults: Illiterate adults $= 40.1%$ 
So, literate adults $= 100% - 40.1% = 59.9%$ 
Literate adults $= 59.9%$ of $40$ $= \dfrac{59.9}{100} \times 40 = 23.96$ 
For children: Literate children $= 85.1%$ of $60$ $= \dfrac{85.1}{100} \times 60 = 51.06$ 

Total literate population $= 23.96 + 51.06 = 75.02$ 

Since total population is $100$, 
Literate percentage $= 75.02% \approx 75%$.
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