Question 20.

The average weight of students in a class increases by 600 gm when some new students join the class. If the average weight of the new students is 3 kg more than the average weight of the original students, then the ratio of the number of original students to the number of new students is

A
1 : 2
B
3 : 1
C
1 : 4
D
4 : 1

Question Explanation

Text Explanation

Let the original number of students be 'n' whose average weight is 'x'

Let the number of students added be 'm' and the average weight will be x + 3

We need to find the value of n : m

It is given, average weight of students in a class increased by 0.6 after new students are added.

Therefore,

nx+m(x+3)n+m=x+0.6\frac{nx + m(x + 3)}{n + m} = x + 0.6

nx+mx+3m=mx+nx+0.6n+0.6mnx + mx + 3m = mx + nx + 0.6n + 0.6m

2.4m=0.6n2.4m = 0.6n

4m=n4m = n

nm=41\frac{n}{m} = \frac{4}{1}

Video Explanation
XAT 2026 Full Course - Enroll Now for Best XAT Preparation
CAT LRDI 100 Recorded Course - Master Logical Reasoning and Data Interpretation
HOME
XAT Sankalp Sale
Quant Revision Book
More
YoutubeWhatsapp