Verbal Reasoning - Arithmetic Reasoning - Discussion

Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 30)
30.
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 ?
20%
25%
50%
75%
Answer: Option
Explanation:

Discussion:
13 comments Page 1 of 2.

Sherab Jatsho said:   3 years ago
Here our answer should be in percent.

So, 75x/20 * 1/5x = 75/100.
Now 75/100*100(percent) = 75%.
Correct me if am wrong.

Nayana said:   6 years ago
The ratio of adults to children (total) = 2:3.

So, adding these ratios up, we can conclude that out of 5 people, 2 of them are adults and 3 of them are children.

So, adults = 2/5,
children = 3/5.

They have taken 1/5 as common, this is how 1/5 comes.
hope it helps.
(3)

Washington said:   7 years ago
How did you get that 1/5x? please explain.

Pankaj said:   7 years ago
Where from 1/ 5x came? Explain.
(1)

Talari suresh said:   7 years ago
100 - 85 = 15 %
100 - 40 = 60 %
15% + 60% = 75 %.
Ans: 75%.
(5)

Niranva said:   7 years ago
Adult : Children.

2x=3x
Literate=2 x (60%) + 3x(85%),
=120x+255x,
=375x.
%= 375/500 = 75%.

Shivangi said:   8 years ago
Can't understand please anyone makes it clear.

Priya said:   8 years ago
@Khadyoth.

We have divided the literate population fraction by the total population, i.e, 5x(2x+3x).
And multiplied it with 100 to get the percentage.
((75x/20 ÷ 5x) * 100).

Mathslover said:   9 years ago
Let A for adults and C for children.
A : C :: 2 : 3.
i.e. A : C = 40 : 60 (from 100 people).
So iliterate adult 40% i.e. 40% of 40 people = 16 people (out of 100).
So iliterate childs are 15% i.e. 15% of 60 people = 9 people (out of 100).
So total iliterate people are 16 + 9 = 25 (from 100).
Then literate people 100 - 25 = 75% (Percentage is because we take out of 100).

Khadyoth said:   10 years ago
Why did you multiply 75x/20 with 100/5x? Why did you take 5x?


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