Question

A group of $3$ friends staying together consume $54kg$ of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for $18$ days. How many new members are there in a group now ?

• A. $3$
• B. $1$
• C. $2$
• D. $4$

Answer 1

The correct option is C $2$

Let $x$ be the total number of members in the group now.
Since more members can finish the wheat in less number of days.
$\therefore$ It is a case of inverse proportion.
$\Rightarrow 3\times 30=x\times 18$
$\Rightarrow x=\frac{3\times 30}{18}=5$
Thus, the number of new members in the group are $(x-3)=2$