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 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.
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
26 Apr 2026, 11:27
Kudos
Bookmarks
Three freelance designers, Luca, Sophie, and Marta, receive monthly retainers that total €9,700. Luca spends 70% of his retainer, Sophie spends 75%, and Marta spends 60%. At the end of the month, their savings are in the ratio 9:8:14. What is Marta’s monthly retainer?
A. €3,000
B. €3,200
C. €3,500
D. €3,700
E. €4,000
A. €3,000
B. €3,200
C. €3,500
D. €3,700
E. €4,000
26 Apr 2026, 11:27
Kudos
Bookmarks
Official Solution:
Three freelance designers, Luca, Sophie, and Marta, receive monthly retainers that total €9,700. Luca spends 70% of his retainer, Sophie spends 75%, and Marta spends 60%. At the end of the month, their savings are in the ratio 9:8:14. What is Marta’s monthly retainer?
A. €3,000
B. €3,200
C. €3,500
D. €3,700
E. €4,000
Let \(L\), \(S\), \(M\) be the retainers.
• Savings:
Luca saves 30%, so savings = \(0.30L\)
Sophie saves 25%, so savings = \(0.25S\)
Marta saves 40%, so savings = \(0.40M\)
• Given savings ratio \(9:8:14\), set
\(0.30L = 9k\)
\(0.25S = 8k\)
\(0.40M = 14k\)
• Solve each:
\(L = \frac{9k}{0.30} = \frac{9k}{\frac{3}{10}} = 9k * \frac{10}{3} = 30k\)
\(S = \frac{8k}{0.25} = \frac{8k}{\frac{1}{4}} = 8k * 4 = 32k\)
\(M = \frac{14k}{0.40} = \frac{14k}{\frac{2}{5}} = 14k * \frac{5}{2} = 35k\)
• Total retainer:
\(30k + 32k + 35k = 97k = 9700\)
So \(k = 100\)
• Marta’s retainer:
\(M = 35k = 3500\) euros.
Answer: C
Three freelance designers, Luca, Sophie, and Marta, receive monthly retainers that total €9,700. Luca spends 70% of his retainer, Sophie spends 75%, and Marta spends 60%. At the end of the month, their savings are in the ratio 9:8:14. What is Marta’s monthly retainer?
A. €3,000
B. €3,200
C. €3,500
D. €3,700
E. €4,000
Let \(L\), \(S\), \(M\) be the retainers.
• Savings:
Luca saves 30%, so savings = \(0.30L\)
Sophie saves 25%, so savings = \(0.25S\)
Marta saves 40%, so savings = \(0.40M\)
• Given savings ratio \(9:8:14\), set
\(0.30L = 9k\)
\(0.25S = 8k\)
\(0.40M = 14k\)
• Solve each:
\(L = \frac{9k}{0.30} = \frac{9k}{\frac{3}{10}} = 9k * \frac{10}{3} = 30k\)
\(S = \frac{8k}{0.25} = \frac{8k}{\frac{1}{4}} = 8k * 4 = 32k\)
\(M = \frac{14k}{0.40} = \frac{14k}{\frac{2}{5}} = 14k * \frac{5}{2} = 35k\)
• Total retainer:
\(30k + 32k + 35k = 97k = 9700\)
So \(k = 100\)
• Marta’s retainer:
\(M = 35k = 3500\) euros.
Answer: C
