Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the colleg

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the colleg

by BTGModeratorVI » Tue Feb 16, 2021 8:24 am

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Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?

A. 10%
B. 16 2/3 %
C. 20%
D. 25%
E. 183 1/3%

Answer: C
Source: official guide

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Source: Beat The GMAT — Problem Solving | Tue Feb 16, 2021 8:24 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the co

by Brent@GMATPrepNow » Thu Feb 18, 2021 6:55 am

BTGModeratorVI wrote: ↑
Tue Feb 16, 2021 8:24 am
Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?

A. 10%
B. 16 2/3 %
C. 20%
D. 25%
E. 183 1/3%

Answer: C
Source: official guide

A quick approach is to test values that satisfy the given information.

Given: Enrollment in City College in 1980 was 83 1/3 percent of enrollment in 1990
Important: We can save ourselves some time if we recognize that 83 1/3% is equivalent to 5/6.

So we can rewrite the given information as follows:
Given: Enrollment in City College in 1980 was 5/6 the enrollment in 1990

So, it COULD be the case that the 1990 enrolment was 6 students, and the 1980 enrolment was 5

What was the percent increase in the college’s enrollment from 1980 to 1990?
Percent change = (100)(new - old)/old
= (100)(6 - 5)/5
= (100)(1/5)
= 20%

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com