Question

How much money did Tara lose or won?___

Answer 1

Let the amounts held by Suvarna, Tara, Uma and Vibha at any stage be denoted by S, T, U and V respectively.

At the end of game 4, all of them have Rs 32 with them.

Since Vibha lost game 4, she would have doubled the other three players' amount.

Thus, at the end of the game 3 (or at the beginning of game 4), Suvarna, Tara and Uma would each have had Rs. $\frac{32}{2}=$ Rs. 16.

Also, Vibha would have had 32 + 16 + 16 + 16 = Rs. 80

Similarly, the amount with each person at the end of each game can be calculated as shown in the table below.

$\begin{array}{ccccc}Game\left(End\right)& S& T& U& V\\ 4& 32& 32& 32& 32\\ 3& 16& 16& 16& 80\\ 2& 8& 8& 72& 40\\ 1& 4& 68& 36& 20\\ Start& 66& 34& 18& 10\end{array}$

Starting amount = 34
Final amount = 32
Lose = 34-32 = Rs. 2