# 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 rupees a week the merchant will receive from the sales of the articles?

1. 175 - $$frac{x}{2}\\$ 2. $\frac{x}{3}\\$ + 156 3. 350 - $\frac{x^2}{2}\\$ 4. x2 - 2x + 75 ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /-CAT Online Coaching ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, November 2nd, 2019 ### 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 rupees a week the merchant will receive from the sales of the articles?" ##### Hence the answer is "175 - $\frac{x}{2}\\$" Choice A is the correct answer. ###### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /- Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Nov 2nd, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ##### 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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