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 12 of 14.

SANKAR NAYAK said:   4 years ago
Don't use XYZ, it's easier to buy one method i.e.

Below 8 year students = 20%.
And above 8 year students = 48,
And 8 year students = 2/3 of 8 year students,
=> (2/3)*48 => 32.

Simply things if 20% of students below 8 then same and above year students % will be = 100%-20% = 80%,
Then,
80% = 8yr students+8yr above students.
=>80% =48+32.
=>80%=80.
if 80 % students = 80.
Then 1% students =80/80 =1.
Then 100% students =100*1=100.
The total students are 100.

Soumyadeep Chatterjee said:   4 years ago
Let,

Total number of student = x.
Given as,
8 years age = 48
8 years above age = 48 *(2/3)
= 32.

Below 8 years age = x * 20%.

By condition,

X*20%+32+48 = x,
Or, x*(20÷100) +80 = x,
Or, x - x/5 =80,
Or, (5x-x)/5 = 80,
Or,4x/5 = 80,
Or, x = (80*5)/4,
Or, x = 100.
So, a total number of students = 100.

Ans: 100.

S. Raghu yadav said:   4 years ago
Given;

20% below 8 year of age. (100%- 20% ) = 80%.
80 % = age of students equal to 8 yr + age of students above 8 yr.
80 % = 48 + 2/3 * 48.
48 + 32 = 80 students,
80 % = 80 students,
20 % = x students.

Cross multiple;
We get 20 students,
For 20% students = 20 students,
Hence 20 % + 80 % = 20 + 80 students,
Total no of students = 100 students.
(1)

Saket said:   4 years ago
Let total student be x.

Then
20% of x +48+2/3 of 48=x.
Implies, x/5-x+80=0.
or, x=80*5/4=100.
Total no of students =100.

Subham Paul said:   3 years ago
1. Let us assume the total number of students be 100%.
2. Then subtract 20% from 100% (where 20% equals less than 8 yrs).
3. Given exact 8 years child = 48.
4. A/Q above 8 years will be 2/3 of 8 years which means (2/3'-48=32).
5. Add exact 8yrs+above 8yrs =80 which is also equal to 80'.
6. Then 100 Will be 80'-100/80=100 students (Total).
(1)

M.Lokesh said:   3 years ago
Let us assume that total number of students =100%-20%=80%.
2/3 this means 3 parts *16=48
then 2parts * 16 = 32.
Together 80%= 48 + 32.

100% = 100 students.
(1)

Mallepu Naveen Kumar said:   3 years ago
>8yrs = 2/3of 48(8yrs)=> 32students.
8yrs = 48students.

<8yrs = 20%.

80% = (32+48) = 80students,
100% = ?.
Total students = 100/80*80 = 100 students.
(2)

Vaibhav kumar singh said:   3 years ago
If 20 % = above 8 years so , 80 % = below 8 years + exact 8 years.
therefore 80 % ----> 2/3 of 48=32 (below 8 years) + 48(exact).
80% ---------> 80.
100% ---------> 100.
So, ans = 100.
(14)

Pankaj khati uk 01 said:   3 years ago
No of students above 8 years is 48*2/3 =32,
Then let the total number of students = x,
Then 20%of x is = 20* X /100 = x/5,
Than 48 +32+x/5 = x,
Than x = 100.
(3)

Hemant Asthana said:   3 years ago
x is a total number of students. Then According to the question,
x = 48 + 2/3*48 + 20% of x,
x = 48 + 32 + x/5,
4x/5 = 80,
x = 100 (total number of students).
(16)


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