In an online game, the number of active players reduces by 20% every 4 years. If there are currently 80,000 active players, how many active players will remain after 12 years?

Answer Choices

Correct answer marked below

16,000

24,200

40,960

Correct

48,560

64,320

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Explanation

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Official Explanation

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To find out how many times the initial number of players will decrease by 20%, we first calculate the total time period (12 years) and divide it by the duration it takes for a 20% decrease (4 years). Thus, 12 divided by 4 equals 3, indicating that there will be 3 decreases. A 20% decrease means that 80% of the original number remains. For instance, after the…

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Comments

ChristopherFeb 13, 2024

Great

TejJul 30, 2024

appreciated!

SwatiSep 16

I picked A at first because I just did 80,000 x 0.2 and panicked lol. took me a sec to remember it's the REMAINING amount each time, not the amount lost

MatthiasSep 27

classic trap, they put 16,000 there on purpose to catch that exact mistake

SatvikMay 11

thanks this was helpful, kept forgetting to count how many 4-year chunks fit into 12

What this question tests

What it tests

Your ability to reason about weighted averages and the composition of mixtures.

Common trap

Averaging the percentages of two solutions without weighting by their volumes.