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605-655 (Medium)|   Overlapping Sets|         
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Bunuel
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In Company X, 70% of the junior employees and 38% of the non-junior 11 Jun 2026, 07:30
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45% (medium)

Question Stats:

72% (02:30) correct 28% (02:40) wrong based on 322 sessions

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In Company X, 70% of the junior employees and 38% of the non-junior employees received a negative performance review. If 42% of Company X employees received a negative performance review, what percent of Company X's employees are junior employees?

(A) 6.25%

(B) 12.5%

(C) 14%

(D) 86%

(E) 87.5%
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B
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Bunuel
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In Company X, 70% of the junior employees and 38% of the non-junior 13 Jun 2026, 07:30
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Bunuel
In Company X, 70% of the junior employees and 38% of the non-junior employees received a negative performance review. If 42% of Company X employees received a negative performance review, what percent of Company X's employees are junior employees?

(A) 6.25%

(B) 12.5%

(C) 14%

(D) 86%

(E) 87.5%
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GMATNinja Video Solution:



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MakB
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In Company X, 70% of the junior employees and 38% of the non-junior 01 Jul 2026, 14:00
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I guess this question should be tagged in Algebra or weighted average questions and not Overlapping Sets.
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PolarStar
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In Company X, 70% of the junior employees and 38% of the non-junior 09 Jul 2026, 05:38
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It can also be done with a grid:
Attachments

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Ohne Titel.png [ 324.92 KiB | Viewed 1081 times ]

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Username1512
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GRE 1: Q160 V159
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In Company X, 70% of the junior employees and 38% of the non-junior 22 Jul 2026, 10:13
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I initially thought to solve it using the 2X2 matrix but then applied allegation and solved it in less than a min. Bunuel, pls let me know if that's the right way to approah this!
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In Company X, 70% of the junior employees and 38% of the non-junior 13 Sep 2026, 07:59
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70 of x + 38% of (100-x) = 42% (x+100-x) (where x= junior employees)
By solving, we get-
70x+3800−38x=4200
x=400/32=12.5 (b)
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In Company X, 70% of the junior employees and 38% of the non-junior 13 Sep 2026, 23:24
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Bunuel
In Company X, 70% of the junior employees and 38% of the non-junior employees received a negative performance review. If 42% of Company X employees received a negative performance review, what percent of Company X's employees are junior employees?

(A) 6.25%

(B) 12.5%

(C) 14%

(D) 86%

(E) 87.5%
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Use the weighted averages formula discussed here: https://anaprep.com/arithmetic-weighted-averages/

\(\frac{w1}{w2} = \frac{(38 - 42)}{(42 - 70)} = \frac{1}{7}\)

So 1 part are junior and 7 parts are senior which means 1/8 = 12.5% of the company are Junior employees.

Answer (B)
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In Company X, 70% of the junior employees and 38% of the non-junior 13 Sep 2026, 23:42
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Let x be the percentage of Companys X junior employees.
0.42 = x * 0.7 + (1 - x) * 0.38
0.42 = 0.7x - 0.38x + 0.38
0.04 = 0.32x
x = 0.125 = 12.5%
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