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?
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
Choice C is the correct answer.
Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.
Privacy Policy | Terms & Conditions
CAT® (Common Admission Test) is a registered trademark of the Indian
Institutes of Management. This website is not endorsed or approved by IIMs.
2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi
Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093
Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com