BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

percent

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 138
Joined: Mon May 01, 2017 11:56 pm
Thanked: 4 times
by vaibhav101 » Wed Aug 01, 2018 9:49 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

50% of the apartments in a certain building have windows and hardwoods floors. 25% of the apartments without Windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent of the apartments with Windows ha e hardwood floors?

A 10%
B 16.66%
C 40%
D 50%
E 83.33%
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Thu Aug 09, 2018 9:35 am
Let a = total window
b = total of apartment with no window.
Apartment with window and hardwood floor = 50%
$$=\ \frac{50}{100}=\ 0.5$$
$$Apartments\ without\ window\ bat\ have\ hardwood\ floor\ =25\%\ =\ \frac{25}{100\ }=\ 0.25$$

$$Apartments\ without\ hardwood\ floor\ =40\%\ =\ \frac{40}{100\ }=\ 0.4$$
Proportion of apartment with windows = a - b
1 - 0.4 = 0.6
$$\leftDesire\ proprtion\ =\ \frac{\left(Apartment\ with\ windows\ \&\ hardwood\ \right)}{total\ windows}\ \right\cdot\frac{100}{1}$$
$$=\ \frac{0.5}{0.6}\ \cdot\ \frac{100}{1}$$
= 83.33%
Option E is CORRECT.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8136
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Fri Aug 10, 2018 5:35 pm
vaibhav101 wrote:50% of the apartments in a certain building have windows and hardwoods floors. 25% of the apartments without Windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent of the apartments with Windows ha e hardwood floors?

A 10%
B 16.66%
C 40%
D 50%
E 83.33%
We can let the total number of apartments = 100.

So, 50 have windows and hardwood floors.

Since 40 do not have hardwood floors, then 60 do have hardwood floors.

Thus, 60 - 50 = 10 have hardwood floors but no windows.

We are given that 25% of the apartments without windows have hardwood floors and we found the number of such apartments is 10. If 25% of the apartments without windows is 10, the total number of apartments without windows is 10/0.25 = 40. Thus, there are 100 - 40 = 60 apartments that have windows.

Since 50 of them have hardwood floors, 50/60 = â…š = 83.33% of them have hardwood floors.

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1