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29 Jun 2025, 22:21
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Difficulty:
45%
(medium)
Question Stats:
77% (02:58) correct
23%
(03:01)
wrong
based on 206
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In a college placement, 100 students attended an interview process and each of them got a job offer. 20 percent of the students who did not have a master's degree got finance jobs. 25 percent of the students who got non-finance jobs have master's degree. If 68 percent of the students got finance jobs, what percent of the students who attended the interview process have master's degree?
A. 30%
B. 45%
C. 60%
D. 70%
E. 90%
A. 30%
B. 45%
C. 60%
D. 70%
E. 90%
MyGMATbuddy
Expert
Joined: 27 Jun 2025
Last visit: 11 Aug 2025
Posts: 46
Given Kudos: 5
Location: India
Schools: IIMB EPGP'23 (A$)
GMAT 1: 730 Q50 V39
GPA: 9.82
Expert reply
29 Jun 2025, 22:48
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Total #students with finance jobs = 68, and non-finance jobs = 32
Master's degree with non-finance jobs = 25% of 32 = 8 students,
No master's degree with non finance jobs = 32-8 = 24
20 percent of the students who did not have a master's degree got finance jobs
which means 80% of students who did not have master's degree got non-finance jobs, and the number is 24
80% of #students with no master's degree = 24
#students with no master's degree = 30
hence #students with master's degree = 70
Pankaj Jindal | IIM Bangalore | 730 GMAT
Master's degree with non-finance jobs = 25% of 32 = 8 students,
No master's degree with non finance jobs = 32-8 = 24
20 percent of the students who did not have a master's degree got finance jobs
which means 80% of students who did not have master's degree got non-finance jobs, and the number is 24
80% of #students with no master's degree = 24
#students with no master's degree = 30
hence #students with master's degree = 70
Pankaj Jindal | IIM Bangalore | 730 GMAT
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30 Jun 2025, 09:51
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Here's how to solve this one with algebra:
Define variables for the numbers of students with and without a master’s degree.
\(y = 100 - x\)
Compute the number of students who did not get finance jobs.
\(100 - 68 = 32\)
Express the number of non-master’s students who got finance jobs as 20% of y.
\(\frac{20}{100} \times y = 0.20y\)
Express the number of finance-job students with a master’s degree as the remainder of total finance jobs.
\(68 - 0.20y\)
Compute the number of master’s-degree students among non-finance jobs as 25% of the 32 non-finance students.
\(\frac{25}{100} \times 32 = 8\)
Set the count of non-finance master’s students equal to total master’s minus finance master’s count.
\(x - \bigl(68 - 0.20y\bigr) = 8\)
Substitute y = 100 - x into the equation relating x and y.
\(x - \bigl(68 - 0.20\,(100 - x)\bigr) = 8\)
Simplify inside the parentheses and combine like terms.
\(x - \bigl(48 + 0.20x\bigr) = 8\\x - 48 - 0.20x = 8\)
Solve the linear equation for x.
\(0.80x = 56\\x = \frac{56}{0.80} = 70\)
Convert the number of master’s-degree students into a percentage of the total 100 students.
\(\frac{70}{100} \times 100\% = 70\%\)
Answer 70% (Option D)
Hope this helps!
ʕ•ᴥ•ʔ
Define variables for the numbers of students with and without a master’s degree.
\(y = 100 - x\)
Compute the number of students who did not get finance jobs.
\(100 - 68 = 32\)
Express the number of non-master’s students who got finance jobs as 20% of y.
\(\frac{20}{100} \times y = 0.20y\)
Express the number of finance-job students with a master’s degree as the remainder of total finance jobs.
\(68 - 0.20y\)
Compute the number of master’s-degree students among non-finance jobs as 25% of the 32 non-finance students.
\(\frac{25}{100} \times 32 = 8\)
Set the count of non-finance master’s students equal to total master’s minus finance master’s count.
\(x - \bigl(68 - 0.20y\bigr) = 8\)
Substitute y = 100 - x into the equation relating x and y.
\(x - \bigl(68 - 0.20\,(100 - x)\bigr) = 8\)
Simplify inside the parentheses and combine like terms.
\(x - \bigl(48 + 0.20x\bigr) = 8\\x - 48 - 0.20x = 8\)
Solve the linear equation for x.
\(0.80x = 56\\x = \frac{56}{0.80} = 70\)
Convert the number of master’s-degree students into a percentage of the total 100 students.
\(\frac{70}{100} \times 100\% = 70\%\)
Answer 70% (Option D)
Hope this helps!
ʕ•ᴥ•ʔ
