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 ?
Answers
Answer:
75%
Step-by-step explanation:
Given ratio is 2:3.
Let the Adults be 2x and Students be 3x.
Given that 40% of students are illiterate i.e 60% of the students are literate.
According to the given condition,
⇒ 60% of 2x + 85% of 3x
⇒ (60/100) * 2x + (85/100) * 3x
⇒ (120x/100) + (255x/100)
⇒ (6x/5) + (51x/20)
⇒ (24x + 51x)/20
⇒ (75x/20)
⇒ (15/4)x
∴ Required % = (15/4)x + (1/5x) * 100%
= (3/4) * 100%
= 75%.
Therefore, 75% of the population is literate.
Hope it helps!
Answer:
adults literacy =60%
let the total population of adults be 2x
then,
60/100*2x=6/5x
children literate =85%
let total population of children be 3x
then,
total population =2x+3x=5x
85/100*3x=51/20x
total literacy =6/5x+51/20x
= 15/4x
required percentage =
(total literacy/total population )*100
15/4x *1/5x *100=75% answer