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:
135 comments Page 6 of 14.

Ramesh said:   9 years ago
It clearly indicates that 80% of students is 100 but 100% is 120 must be the answer.

Sachin Dubey said:   9 years ago
x = total number of students.

Below 8 year = 20%x.
Exact 8 year = 48.
Above 8 year= (2/3) * 48 = 32.
Then the equation becomes (we have to find x):

x = (20%x) + 48 + 32.
x - (20%x) = 80.
100x - 20x = 80 * 100.
x = 100.

Hope you will understand it.

Neeraj said:   9 years ago
Why we are doing 2/3*48? Please, anyone explain me.

Asad said:   9 years ago
Nice one @Rumman.

Ayesha said:   9 years ago
Nice explanation @Ramesh.

SAMEER said:   9 years ago
80% of 80 = ?

Liyakat said:   9 years ago
8 years old students are exact no = 48.
Above 8 years old students are=2/3 * 48 = 32.
8years students+above 8year students = 80.
20% no of below 8 years students = 20/100 * 80 = 96.

RAJIB KUMAR KOHAR said:   9 years ago
Students at the age of 8 = 48,
Students above age of 8 = 2/3 of 48 = 32,
Students at the age of 8 = 20,
Total students = (48 + 32 + 20) = 100.

Anshra Khan said:   8 years ago
Good and easy method @Ramesh. Thanks.

Rehan said:   8 years ago
Thanks for explaining the solution.


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