# 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 2019. 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. $$frac{$y - x$100}{100 - y}$ 2. $\frac{$y + x$100}{100 - y}$ 3. $\frac{$y - x$100}{100 - x}$ 4. $\frac{$y - x$100}{100 + y}$ ## 2IIM : Best Online CAT Coaching #### Signup and try 9 classesfor free ### Video Explanation ## Best CAT Coaching in Chennai #### Crash course - CAT 2019Intakes Closing Soon! Starts Sat, August 24th, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from Percentages: Comparison of A, B and C in terms of x and k. A = B$1 - $$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. ###### Best Online CAT CoachingSignup and try 9 classesfor free Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiEnroll at 26,000/- Next Weekend Batch Starts Sat, August 17th, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Intakes Closing Soon! ##### 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
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