CAT Quantitative Aptitude Questions | CAT Percentages Problems - Variables

CAT Questions | Percentage Questions | Percentages - Algebra & Inequalities
× CAT Questions

CAT Quantitative Aptitude
HCF and LCM Factors Remainders Factorials Digits Ratios,Mixtures;Averages Speed & Time; Races Logarithms and Exponents Pipes,Cisterns; Work,Time Set Theory Geometry Coordinate Geometry Mensuration Trigonometry Linear & Quadratic Equations Functions Inequalities Polynomials Progressions Permutation Probability
CAT Verbal
Para Jumble Sentence Correction Sentence Elimination Paragraph Completion Reading Comprehension Critical Reasoning Word Usage Para Summary Text Completion
DI LR: Bar Graphs DI LR: Pie Charts DI LR: Multiple Graphs DI LR: Word Problems DI LR: Line Graphs DI LR: Sequencing DI LR: Grid Puzzles DI LR: Math Puzzles DI LR: Visualization DI LR: Other Patterns DI LR: CAT 2017 Cet DI LR: CAT 2017 Rural Survey DI LR: CAT 2017 Happiness DI LR: CAT 2017 Airlines DI LR: CAT 2017 Travel Route DI LR: CAT 2017 Food Delivery DI LR: CAT 2017 Square Layout DI LR: CAT 2017 Team Project DI LR: CAT 2017 Assets DI LR: CAT 2017 Pizza DI LR: CAT 2017 Electives DI LR: CAT 2017 Chess DI LR: CAT 2017 Dorms DI LR: CAT 2017 Tea DI LR: CAT 2017 Friends DI LR: CAT 2017 Security Scan

CAT Online Coaching
CAT Question MenuCAT Questions

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 2019. 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 (1 - x) < x
  2. y (1 - x) > x
  3. y (1 + x) < x
  4. y (1 + x) > x

2IIM : Best Online CAT Coaching

Signup and sample 9 classes
CAT Online Coaching

Best CAT Coaching in Chennai

CAT Coaching in Chennai - CAT 2020
Starts Sat, September 21st, 2019

Explanatory Answer

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)
Therefore, y < \\frac{x}{1 + x}\\)

The question is " find the relation between x and y. "
y < \\frac{x}{1 + x}\\)

Hence, the answer is y < \\frac{x}{1 + x}\\)

Choice C is the correct answer.


CAT Preparation Online | CAT Arithmetic Videos On YouTube

Other useful sources for Arithmetic Question | Percentages Profits SICI Sample Questions

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT

Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
10-C, Kalinga Colony, Bobbili Raja Salai
K.K.Nagar, Chennai. India. Pin - 600 078

How to reach 2IIM?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now