CAT Quantitative Aptitude Questions | CAT Percentages Problems - Variables

CAT Questions | Percentage Questions | Percentage - Variables

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. $$frac{$y - x$100}{100 - y}$ 2. $\frac{$y + x$100}{100 - y}$ 3. $\frac{$y - x$100}{100 - x}$ 4. $\frac{$y - x$100}{100 + y}$ Online CAT Coaching for CAT 2019 Signup to avail 9 full classes Free Video Explanation CAT Coaching in Chennai Starts Sat, Feb 23, 2019 Explanatory Answer Method of solving this CAT Question from Percentages: Comparison of A, B and C in terms of x and k. A = B$1 - $$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. Online CAT CoachingTry it free! Register in 2 easy steps and start learning in 30 seconds! Already have an Account? CAT Coaching in Chennai Next Weekend Batch Starts Sat, Feb 23rd, 2019 CAT Coaching in Chennai Sign up for a Free Demo of our CAT Coaching in Chennai 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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