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PS · Problem Solving
705-805
percent
Last year at an accounting firm, accountants made up 40% of the total employees. This year, 50% of these accountants left for another company, and new accountants, which amounts to 50% of the total employees left, joined the company. What percent of the total employees are accountants this year?
Answer Choices
Correct answer marked belowA
10%
B
20%
C
25%
D
30%
50%
Correct
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Official Explanation
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Let the total employees be 100.
Accountants = 40 (40% of the total employees).
50% of these accountants left → accountants = 40 - 20 = 20.
Total employees left = 100 - 20 = 80.
New accountants, which amounts to 50% of the total employees left, joined the company → new accountants = 0.5 × 80 = 40.…
Accountants = 40 (40% of the total employees).
50% of these accountants left → accountants = 40 - 20 = 20.
Total employees left = 100 - 20 = 80.
New accountants, which amounts to 50% of the total employees left, joined the company → new accountants = 0.5 × 80 = 40.…
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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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Related GMAT Topic Guides
Quant
TopicGMAT Quantitative Reasoning
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Difficulty
705-805
Type
PS
Category