Question
3 friends play a game, rules are as follows whenever there is a contest between any 2 of them, the one who has a higher % alcohol should pour 200ml of his wine into the one having lower % alcohol. The game starts as a contest between A and B, then B and C and then C and A. Post this, the game continues in the same cycle on and on. If a player has emptied all his alcohol, then the remaining two play the game with same rules. If 2 players have alcohol of same percentage level, the younger one pours 200 ml of his alcohol into the elder one's glass. All 3 of them start the game with 600 ml of wine. A's mine has 60% alcohol, B's has 48% alcohol, C's has 50% alcohol. They take 3 minutes to play one round of this game. D, a fourth friend leaves the pub immediately after the game begins, returns after an hour and drinks wine from the person who has the highest alcohol percentage. What is the concentration of alcohol that D had ?
Answer: Option B
:
B
A v/s B:
A has higher % of alcohol than B, A has to give 200 ml of wine. Considering that A has 60% of strength mixture, B will end up having 800 ml of wine that has 60%×1+48%×34=51% of alcohol.
B v/s C:
B has higher % of alcohol than C, B has to give 200 ml of wine to C now. C will end up having wine that has,
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:
B
A v/s B:
A has higher % of alcohol than B, A has to give 200 ml of wine. Considering that A has 60% of strength mixture, B will end up having 800 ml of wine that has 60%×1+48%×34=51% of alcohol.
B v/s C:
B has higher % of alcohol than C, B has to give 200 ml of wine to C now. C will end up having wine that has,
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