To solve this problem, we first need to calculate the number of red, white, and blue marbles in the jar.
Let's start with the red marbles. We know that 61.5 percent of the total number of marbles are red. To find the actual number, we multiply the total number of marbles (2000) by the percentage of red marbles (61.5 percent or 0.615 in decimal form):
1230 marbles are red.
Next, we calculate the number of white marbles. We know that 27.2 percent of the total number of marbles are white. So, we multiply 2000 by 27.2 percent (or 0.272 in decimal form):
544 marbles are white.
For the blue marbles, we multiply the total number of marbles by the percentage of blue marbles (10 percent or 0.10 in decimal form):
200 marbles are blue.
Now, let's calculate the total number of marbles that are either red, white, or blue. We simply add the number of red, white, and blue marbles:
1230 (red) + 544 (white) + 200 (blue) = 1974 marbles are either red, white, or blue.
Finally, to find the number of marbles that are neither red, white, nor blue, we subtract the number of marbles that are colored from the total number of marbles:
2000 (total) - 1974 (colored) = 26 marbles are neither red, white, nor blue.
So, the answer is not a) 300, b) 400, c) 500, or d) 600, but rather 26 marbles are neither red, white, nor blue.