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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?

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150

250

150

400

answer is D.

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Detailed 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 \times 100

Given that final number of point is 200, score can equate

k - 2 \times 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 \times 100

Final score by the player =initial score –point loss

= k - 2 \times 100 = 200

Given final score

= 200

k - 2 \times 100 = 200

k = 200 + 2 \times 100 = 200 + 200 = 400

Hence, option (4) is correct.

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