If Akash stopped playing the game when his gain would be maximized, the gain

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Question

If Akash stopped playing the game when his gain would be maximized, the gain in Rs. Would have been:

Options:

A . 12

B . 20

C . 16

D . 4

Answer: Option A
:
A

We can summarize the four rounds of play in the table given below :
$\begin{matrix} R o u n d & B a s e C a r d & \frac{E a r n i n g s -}{D e a l e r / P l a y e r} & T o p C a r d & \frac{E a r n i n g s -}{D e a l e r / P l a y e r} I & 8 - C l u b s & 8 - P l a y e r & Q u e e n - C l u b s & 16 - D e a l e r I I & 10 - H e a r t s & 10 - P l a y e r & 2 - S p a d e s & 10 - P l a y e r I I I & 6 - D i a m o n d & 6 - P l a y e r & A c e - H e a r t s & 6 - D e a l e r I V & 8 - S p a d e s & 8 - P l a y e r & J a c k - S p a d e s & 16 - D e a l e r \end{matrix}$
Akash's gain would be maximized at the end of Round II which is = -8 (Round I earnings) + 20 (Round II earnings) = Rs. 12.

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