MathematicsIn a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?

In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?



  1. A
    150
  2. B
     250
  3. C
     150
  4. D
     400 

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    Solution:

    Concept: First we have to find the initial number of point K which is given to the payer.
    We know that 2 point are lost by the player every time he fails to complete a task given that player had gain no additional points,
    final number of point =k-2×100
    Given that final number of point is 200, score can equate k-2×100 to 200  and we will solve the equation to find the value of k.
    intal number of player=k
    Player failed to complete 100 tasks and 2 points are loss by the player every time he fails
    total point lost by player=2×100
    Final score by the player =initial score –point loss=k-2×100=200
    Given final score =200
    k-2×100=200
    k=200+2×100=200+200=400
    Hence, option (4) is correct.
     
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