One cup of sugar water was poured out of 300 g of 8% sugar water and then the same amount of pure water was poured into the solution. After that 2% sugar water was added, resulting in 400 g of 6% sugar water. What weight of sugar water was initially poured out?

Answer Choices

Correct answer marked below

20 g

25 g

Correct

30 g

35 g

40 g

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Official Explanation

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Resulting amount of sugar = 6% of 400 grams = 24 grams.

Since the added sugar water increases the total volume from 300 grams to 400 grams, the amount of added sugar water = 400 - 300 = 100 grams.

Since the added sugar water is 2% sugar, the weight of the added sugar = 2% of 100 = 2 grams.

Implication: Before the 2% sugar water is added, the amount of sugar in the container = 24 - 2 = 22 grams.…

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What this question tests

What it tests

Your ability to apply GMAT math concepts to solve a multi-step problem quickly and accurately. At the 705-805 level, accuracy and speed both matter.

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Overcomplicating the setup — most GMAT problems reward a direct, organized approach over brute calculation.