# CAT Quantitative Aptitude Questions | CAT Percentages Problems - Variables

###### CAT Questions | Percentage Questions | Percentage - Variables CAT Questions

The question is from CAT Percentages. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020. This is a very interesting question from the topic percentages using variables.When x's and y's get thrown about, questions always seem harder. But knowing how to deal with these is very crucial.

Question 7 : A is x% less than B, A is y% less than C. C is k% more than B. Express k in terms of x and y.

1. $$frac{$y - x$100}{100 - y}$ 2. $\frac{$y + x$100}{100 - y}$ 3. $\frac{$y - x$100}{100 - x}$ 4. $\frac{$y - x$100}{100 + y}$ ## 🐤 Early Bird Offer! 4,000 off on CAT '22 Online courses Valid until 25th July #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2021Online Batches Available Now! ### Explanatory Answer ##### Method of solving this CAT Question from Percentages: Comparison of A, B and C in terms of x and k. A = B$1 - $$frac{x}{100}\\$) -------- Equation$1)
A = C(1 - $$frac{y}{100}\\$) ------Equation$2)
C = B(1 + $$frac{k}{100}\\$) -------- Equation$3)
Substituting equations (1) and (3) in (2), we get
B(1 + $$frac{k}{100}\\$)$1 - $$frac{y}{100}\\$) = B$1 - $$frac{x}{100}\\$) 1 + $\frac{k}{100}\\$ - $\frac{y}{100}\\$ - $\frac{ky}{100^2}\\$ = 1 - $\frac{x}{100}\\$ $\frac{k}{100}\\$$1 - $$frac{y}{100}\\$) = $\frac{y - x}{100}\\$ k =$$$frac{$y - x$100}{100 - y}$) The question is " Express k in terms of x and y. " ##### Hence, the answer is k =$$$frac{$y - x$100}{100 - y}$) Choice A is the correct answer. ###### 🐤 Early Bird Offer! 4,000 off on CAT '22 Online courses. Valid until 25th July ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### 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
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