CAT Quantitative Aptitude Questions | CAT Percentages Problems - Variables

CAT Questions | Percentage Questions | Percentages - Algebra & Inequalities

The question is from CAT Percentages. CAT tests multiple ideas in the same question, and 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023. This question from the topic percentages using variables.When Percentages, Algebra and Inequalities are combined it proves to be a Potent cocktail.Go get a taste of it.

Question 14 : A is x % more than B. B is y % less than C. If A, B and C are positive and A is greater than C, find the relation between x and y.

1. y (100 - x) < 100x
2. y (100 - x) > 100x
3. y (100 + x) < 100x
4. y (100 + x) > 100x

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

Method of solving this CAT Question from Percentages: Again comparison of A, B and C but in terms of x and y.

a = (1 + x) b
b = c (1 - y)
c = $$frac{b}{1 - y}\\$ a is greater than c or b$1 + x) > $$frac{b}{1 - y}\\$ => 1 + x > $\frac{1}{1 - y}\\$ =>$1 + x) (1 - y) > 1
=> 1 + x - y - xy > 1
=> x > y (1 + x)
Converting back to percentages...

=> $$frac{x}{100}\\$ > $\frac{y}{100}\\$$$$frac{100}{100}\\$ + $\frac{x}{100}\\$) Therefore, y$100 + x) < 100x

The question is " find the relation between x and y. "

Hence, the answer is y (100 + x) < 100x

Choice C is the correct answer.

CAT Coaching in ChennaiCAT 2024

Classroom Batches Starting Now! @Gopalapuram and @Anna nagar

Best CAT Coaching in Chennai

Attend a Demo Class

Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com