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.
May 3101:00 AM EDT
-02:00 AM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
May 2110:00 AM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.
May 2910:00 AM IST
-11:00 PM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.
May 3012:30 AM EDT
-01:30 AM EDT
Struggling to find the right strategies to score a 99 %ile on GMAT Focus? Riya (GMAT 715) boosted her score by 100-points in just 15 days! Discover how the right mentorship, tailored strategies, and an unwavering mindset can transform your GMAT prep.
May 3102:00 PM PDT
-03:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Jun 0210:00 AM PDT
-11:00 AM PDT
Probability is one of the most important GMAT Quant topics because it often combines logic, counting, set theory, and permutations & combinations. Many students try to solve probability questions by listing every possible case, but GMAT probability...- Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
26% (02:45) correct
74%
(03:01)
wrong
based on 19
sessions
History
Date
Time
Result
Not Attempted Yet
In Spain, the first €10,000 of income is not taxed, but every euro of the next €40,000 of income is taxed at 30%. Every euro of income above €50,000 is taxed at 50%. In France, the first €40,000 of income is taxed at 10%, and every euro of additional income is taxed at 60%. Bruno would pay the same amount of tax in either country, as would Theodora.
If Bruno’s income is lower than Theodora’s, what is the sum of their incomes?
A. €75,000
B. €80,000
C. €85,000
D. €90,000
E. €95,000
If Bruno’s income is lower than Theodora’s, what is the sum of their incomes?
A. €75,000
B. €80,000
C. €85,000
D. €90,000
E. €95,000
29 May 2026, 06:05
Kudos
Bookmarks
Fantastic problem!
This can be converted into a speed/distance problem.
The main stem says, at some amount, taxation in both countries would be the same.
In 1st interval:
Firstly we see,
10k of 2nd case with taxation of 1k.
10k o 1st case yields no taxation.
Now using the concept of race problems.
We need to bridge 1k gap over a difference in speed of 30%-10% = 20% = 1/5.
Thus 1k/(1/5) = 5k.
10k+5k = 15k.
This is where the taxation equals in the first interval.
Now let's take next interval:
This would be after 40k, because till 40k, 1st case is way ahead of the race of 2nd.
After 40k, speed of 2nd case(France) increases.
But 50k in 1st case and 40k in 2nd case is uneven. Let's see the taxation till 50k mark for both cases:
1st case:
40k*0.3 = 12k.
2nd case:
4k+6k = 10k.
So we have a gap of 2k to be bridged by an increase in speed of 2nd case by 10% = 0.1.
Thus 2k/0.1 = 20k.
Thus 50k+20k = 70k, is where taxations meet again.
Now both of them have different amounts as well so we can keep 15k and 70k for either of them and the sum = 15k+70k = 85k.
This can be converted into a speed/distance problem.
The main stem says, at some amount, taxation in both countries would be the same.
In 1st interval:
Firstly we see,
10k of 2nd case with taxation of 1k.
10k o 1st case yields no taxation.
Now using the concept of race problems.
We need to bridge 1k gap over a difference in speed of 30%-10% = 20% = 1/5.
Thus 1k/(1/5) = 5k.
10k+5k = 15k.
This is where the taxation equals in the first interval.
Now let's take next interval:
This would be after 40k, because till 40k, 1st case is way ahead of the race of 2nd.
After 40k, speed of 2nd case(France) increases.
But 50k in 1st case and 40k in 2nd case is uneven. Let's see the taxation till 50k mark for both cases:
1st case:
40k*0.3 = 12k.
2nd case:
4k+6k = 10k.
So we have a gap of 2k to be bridged by an increase in speed of 2nd case by 10% = 0.1.
Thus 2k/0.1 = 20k.
Thus 50k+20k = 70k, is where taxations meet again.
Now both of them have different amounts as well so we can keep 15k and 70k for either of them and the sum = 15k+70k = 85k.
kevincan
Moderator:
