CAT Quantitative Aptitude Questions | CAT Percentages Problems - Integers

CAT Questions | Percentage Questions | Percentage - Integers
× 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. Solve this CAT Question from percentages to set the ball rolling. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023. This question is a very basic question that tests our understanding on the topic percentages using integers.

Question 4 : A earns 25% more than B. C earns 25% more than A. A earns 20% more than D. E earns 20% more than A. A, B, C, D, and E earn integer amounts less than Rs. 100. What is the total amount earned by all five of them put together?

  1. Rs. 300
  2. Rs. 245
  3. Rs. 305
  4. Rs. 480

🎉Get Upto ₹6,000 off on our CAT 2024 and IPM 2024/25 courses! Valid till 1st December 2023.
★ Register now

Video Explanation

Best CAT Coaching in Chennai

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

Explanatory Answer

Method of solving this CAT Question from Percentages: Compare the income of A, B, C and D.

A = \\frac{5}{4}\\) * B or B = \\frac{4}{5}\\) * A
C = \\frac{5}{4}\\) * A
A = \\frac{6}{5}\\) * D or D = \\frac{5}{6}\\) * A
E = \\frac{6}{5}\\) * A

In order for the amounts earned by A, B, C, D and E to be integers, the amount earned by A should be a multiple of 4, 5 and 6. Or, the amount earned by A should be a multiple of 60. The only multiple of 60 that is a 2–digit number is 60.
So, if A earns Rs. 60, B should earn Rs. 48. C should earn Rs. 75, D should earn Rs. 50 and E should earn Rs. 72.
The total income earned by all 5 of them should be equal to
Rs. 60 + Rs. 48 + Rs. 75 + Rs. 50 + Rs. 72 => Rs. 305

The question is " What is the total amount earned by all five of them put together?"
The total income earned by all 5 of them should be equal to Rs. 305

Hence, the answer is Rs. 305

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,
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