CAT 2022 Slot 1 QA Question 2: 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

Question

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

Accepted Answer

Let the original average be $A$ kg. The average of the new students is then $A + 3$ kg.
Increase in average = $600$ gm = $0.6$ kg
Let the number of original students be $m$ and the number of new students be $n$.
$\dfrac{3n}{m+n} = 0.6$
$\Rightarrow \dfrac{3n}{m+n} = \dfrac{3}{5}$
$\Rightarrow 5n = m

The average weight of students in a class increases by 600600600 gm when some new students join the class. If the average weight of the new students is 333 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

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