Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 12)
12.
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
47.55 kg
48 kg
48.55 kg
49.25 kg
Answer: Option
Explanation:
Required average
= 50.25 x 16 + 45.15 x 8
16 + 8
= 804 + 361.20
24
= 1165.20
24
= 48.55
Discussion:
31 comments Page 1 of 4.

Sms said:   1 decade ago
Very complicated and tough problem. Difficult to solve it and need more explanation.

Shree Hema said:   1 decade ago
I cant understand. Please anyone help me ?

Jithu said:   1 decade ago
See @hema

Avg=total/no
avg_weight=total_weight/no_student
here 16 boys's avg =50.25
let us take x be total
Avg=x/no
ie,50.25=x/16
so
x=50.16*25
x=804------(1)

let take y be total
then
Avg=y/no
ie,45.15=y/8
So y= 45.15*8
y==361.20--------(2)

Total_number of students is=16+8=24
So all weight=x+y
i.e,804+361.20=1165.20
avg=total/no
therefore avg=1165.20/24
Avg=48.55

Karan said:   1 decade ago
@Jitu superb explanation.

PavaN said:   1 decade ago
I you understand the concept then u can do like this also.. its easy too

16:8 = 2:1

then, (50.25x2 + 45.15x1) / (2+1) = 48.55
(4)

M.V.KRISHNA/PALVONCHA said:   1 decade ago
Avg. of 16 boys= 50.25,

weight of 16 boys=(50.25*16)=804,

avg. of 8 boys= 45.15,

weight of 8 boys=(45.15*8)=361.2,

total no. boys=24,

total weight of the boys=1165.2.

avg. weight of 24 boys=(1165.2/24)

=48.55.

Madhavi said:   1 decade ago
@heema

It can also be solved sing the following formula:n1x1+n2x2/n1+n2....... n1=16,n2=8,x1=50.25 & x2=45.15

Swapnil said:   1 decade ago
16 * 50.25= 804 (total wt of 16 boys)
8 * 45.15= 361.2 (total wt remaining 8 boys)
_____________________
24 = 1165.2 (total wt of all boys)
= 1165.2/24
=48.55 (Average wt of all boys)

Muneer.s said:   1 decade ago
16 boys total weight= 50.25*16= 804kg

8 boys total weight= 45.15*8= 361.2

Total weight of all boys= 804+361.2 =1165.2
Avg weight of all boys= 1165.2/24= 48.55

Gokul Sreekumar said:   1 decade ago
A more simple way.

Instead of doing these complex multiplications you can simply take (50.25+50.25+45.15) /3 & you will get the answer.


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