Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 7)
7.

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

72
80
120
150
100
Answer: Option
Explanation:

Let the number of students be x. Then,

Number of students above 8 years of age = (100 - 20)% of x = 80% of x.

80% of x = 48 + 2 of 48
3

80 x = 80
100

x = 100.

Video Explanation: https://youtu.be/yPfocU6DA2M

Discussion:
142 comments Page 15 of 15.

Kannan said:   3 months ago
Hi, guys.

Let the total number of students be "x".

Condition 1 -> below 8 years of age = 20/100 of x = x/5 ---->1.
Condition 2 -> 8 year of age = 48 --->2.
Condition 3 -> above 8 years of age = 2/3(48) = 32 ---->3.

Then 1 + 2 + 3.
x/5 + 48 + 32 = x.
80 = x - x/5,
80 = 5x-x/5,
80 = 4x/5,
400 = 4x,
x= 400/4 =100.
(18)

Shreya Bawankule said:   4 weeks ago
Let, x be the total number of students

20% of x (Below 8 years)
48 (exact 8 years )
2/3 * 48 (above 8 years)
20%of x = x/5 (percentile converted into ratio)

Let's calculate,
THe total number of students = x/5 + 48 + (2/3*48)
x - x/5 = 48 + 32.
4x = 400,
x = 100.
(2)


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