Question

A group of students decided to collect as many paise from each member of the group as is the number of members in the group. If the total collection amounts to Rs.$22.09$, the number of members in the group is.

• A. $37$
• B. $47$
• C. $39$
• D. $49$

Answer 1

The correct option is B $47$

Let the total number of members = $x$

So, money collected from each member = $xpaise=Rs.0.01x$

Total money collected = $x\times 0.01x=0.01x^2$

$\Rightarrow 0.01x^2=22.09$

$\Rightarrow x^2=\frac{22.09}{0.01}=2209$

$\Rightarrow x=\sqrt{2209}=47$

So, there are $47$ members in the group. $\left[B\right]$