# CAT Quantitative Aptitude Questions | CAT Algebra - Linear Equations; Quadratic Equations

###### CAT Questions | Algebra | Quadratic Equations - Medium CAT Questions

The question is about Linear Equations and Profit and Loss. This is an application based question which is based on linear equation. Framing and solving equations is an integral part of Linear Equations and Quadratic Equations. Get as much practice as you can in these two topics because the benefits of being good at framing equations will be useful in other concepts.

Question 17: A merchant decides to sell off 100 articles a week at a selling price of Rs. 150 each. For each 4% rise in the selling price he sells 3 less articles a week. If the selling price of each article is Rs x, then which of the below expression represents the number of articles sold by the merchant in that week?

1. 175 - $$frac{x}{2}\\$ 2. $\frac{x}{3}\\$ + 156 3. 350 - $\frac{x^2}{2}\\$ 4. x2 - 2x + 75 ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from CAT Algebra - Quadratic Equations: An application based question! The selling price per article is Rs. x The price of the article is Rs$x - 150) more than Rs 150
4% rise from Rs 150 ==> Rs 6
For each Rs 6 increase in price over Rs.150, he sells 3 articles lesser.

So, the reduction in number of articles = ($$frac{$x – 150$}{6}$) * 3 So, in the new price of Rs.x he sells 100 -$$$frac{$x – 150$}{6}$) * 3 Or he sells 100 – $\frac{$x – 150$}{2}$ = $\frac{$200 – x + 150$}{2}$ = $\frac{$350 – x$}{2}$ = 175 – $\frac{x}{2}\\$ The question is "If the selling price of each article is Rs x, then which of the below expression represents the number of articles sold by the merchant in that week?" ##### Hence the answer is "175 - $\frac{x}{2}\\$" Choice A is the correct answer. ###### Prepare for CAT 2022 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2022 Classroom Batches Starting Now! @Gopalapuram ###### 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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