# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Ratio and Proportion Questions | Question 26

This is a wonderful question from Ratio and Proportion that appeared in CAT 2018 Question Paper. This a question that incorporates percentages in it. These type of questions from Arithmetic are given the utmost importance in the CAT Exam. By mastering the basics of Ratio and Proportion in CAT Preparation Online, one can ace Ratio proportion questions when faced in the CAT Exam

Question 26 :Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?

1. $$frac{1}{4}$ 2. $\frac{1}{5}$ 3. $\frac{6}{19}$ 4. $\frac{7}{33}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Ratio and Proportion Given that original ratio is 4 : 9 Let us assume Lalitha gives โaโ chocolates to Raju ending up in a ratio of 5 : 6 $\frac{4๐ฅ + ๐}{9๐ฅ - ๐}$ = $\frac{5}{6}$ We need to find the fraction of number of marbles given by Lalitha to the initial number of Chocolates => We need to find the value of $\frac{a}{9x}$ $\frac{4๐ฅ + ๐}{9๐ฅ - ๐}$ = $\frac{5}{6}$ Take k = ๐/๐ฅ $\frac{4 + k}{9 - k}$ = $\frac{5}{6}$ 11k = 21 k = $\frac{21}{11}$ We need to find the value of $\frac{a}{9x}$ $\frac{a}{9x}$ = $\frac{k}{9}$ = $\frac{21}{9 × 11}$ $\frac{a}{9x}$ = $\frac{7}{33}$ The question is "Raju and Lalitha originally had marbles in the ratio 4 : 9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5 : 6. What fraction of her original number of marbles was given by Lalitha to Raju?" ##### Hence, the answer is $\frac{7}{33}$ Choice D is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Prepare for CAT 2024 with 2IIM's Daily Preparation Schedule ###### Know all about CAT Exam Syllabus and what to expect in CAT ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2024 Classroom Batches Starting Now! @Gopalapuram and @Anna nagar ###### Best CAT Coaching in Chennai Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ## CAT Questions | CAT Quantitative Aptitude ## CAT Questions | Verbal Ability for CAT ##### 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? Mobile:$91) 99626 48484 / 94459 38484
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