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?

# 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
3. C
4. D

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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   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
$k-2×100=200$
$k=200+2×100=200+200=400$
Hence, option (4) is correct.

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