Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
03 Feb 2023, 02:30
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
63% (02:36) correct
37%
(02:35)
wrong
based on 208
sessions
History
Date
Time
Result
Not Attempted Yet
Every month, Harriet draws three paychecks from three jobs. The greatest paycheck incurs a thirty five percent income tax, while the other two paychecks incur twenty five percent income tax each. Is the total amount of tax deducted from the three paychecks greater than thirty percent of the total of the paychecks before tax deduction?
(1) Harriet's biggest salary is $4000, and the next largest salary is $1500.
(2) Harriet's smallest salary is $1000.
700-Level Question!!!
(1) Harriet's biggest salary is $4000, and the next largest salary is $1500.
(2) Harriet's smallest salary is $1000.
700-Level Question!!!
10 Feb 2023, 12:17
Kudos
Bookmarks
Bunuel
(1) Harriet's biggest salary is $4000, and the next largest salary is $1500.
If Harriet 3rd job also gives max allowed i.e. \(1500\) then lets check:
\(.35*4000= 1400\)
\(.25*(1500 +1500) = 750\)
Total tax\(= 1400+750= 2150\)
Well as \(30\% \) flat rate of salary before any deduction:
\(.30 (4000+1500+1500) = 2100\)
So even with max amt of 3rd salary \(30\%\) cannot exceed \(35\%, 25\%, 25\%\)
We can answer Yes to the stem
SUFF.
(2) Harriet's smallest salary is $1000.
If salary is \(4000, 1000,1000. \)
Tax using \(35\%, 25\% , 25\% \) repectively is \(1400 +250+250 =1900\)
Tax using \(30\%\) flat is \(.30 * 6000 =1800 \)
We can answer YES to the stem
If salary is \(1100,1000\) and \(1000\)
Tax using \(35\%, 25\% , 25\%\) repectively is \(385+250+250=885\)
Tax using \(30\% \) flat is \(.30 * 3100 =930\)
We can answer NO to the stem.
INSUFF.
Ans A
Hope it's clear.
14 Mar 2023, 01:45
Kudos
Bookmarks
Bunuel
Solution:
Pre Analysis:
- Let the three paychecks be a, b and c such that \(a>b>c\)
- Tax collected \(=\frac{35a}{100}+\frac{25b}{100}+\frac{25c}{100}=\frac{7a}{20}+\frac{b}{4}+\frac{c}{4}\)
- We are asked if tax collected > 30% of paycheck
- Or if \(\frac{7a}{20}+\frac{b}{4}+\frac{c}{4}>\frac{30}{100}(a+b+c)\)
\(⇒\frac{7a+5b+5c}{20}>\frac{3a+3b+3c}{10}\)
\(⇒a>b+c\) - So, we just need to check if \(a>b+c\) or not
Statement 1: Harriet's biggest salary is $4000, and the next largest salary is $1500
- According to this statement, \(a=4000\) and \(b=1500\)
- Now even if \(c=1500\) (which is greater than its max value), then also we can confirm \(a>b+c\)
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: Harriet's smallest salary is $1000
- According to this statement, \(c=1000\)
- With no other information, we cannot say if \(a>b+c\) or not
Hence the right answer is Option A
