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.

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).

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)

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).

ADP said:   1 decade ago
We Have to find literate percent. For men it was given illiterate percent so we are subtracting from 100, but in case of children literate percents given so no need 2 subtract.

Harshwardhan said:   1 decade ago
Men illiterate 40% = 60% literate
Children= 85% literate
2:3 ratio
2*100:3*100
200:300 ==200+300=500
60% of 200: 85% of 300
120:255= 120+255=375
Now 375/500==75%

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.

Niranva said:   7 years ago
Adult : Children.

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

Priya said:   1 decade ago
Why you are subtracting 40% from 100 but not 85%.

Will you clear it?

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

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


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