NIMCET 2018 — Logical Reasoning PYQ

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Question

NIMCET 2018 — Logical Reasoning PYQ

NIMCET | Logical Reasoning | 2018

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?

Choose the correct answer:

Explanation

Correct Option - 4

Given:
40% of the adults are illiterate
85% of the children are literate
the ratio of the adults to that of the children is 2 : 3
Formula Used:
%literate population = total literate population/total population × 100
Calculation:
Let the total population be 500
The ratio of the adults to that of the children is 2 : 3
Let the number of adults be 2x and,
Number of children be 3x
⇒ 2x + 3x = 500
⇒ 5x = 500
⇒ x = 500/5
⇒ x = 100
Number of adults = 2x
⇒ 2 × 100 = 200
40% of the adults are illiterate
i.e. 60% are literate
⇒ 60/100 × 200
⇒ 120
Out of 200 adults, 120 are literate.
Number of children = 3x
⇒ 3 × 100 = 300
85% of the children are literate.
⇒ 85/100 × 300
⇒ 255
Out of 300 children, 255 are literate.
Total literate = 120 + 255
⇒ Total literate = 375

%literate population = total literate population/total population × 100
⇒ %literate population = 375/500 × 100
⇒ %literate population = 75%
∴ 75% population is literate