# CAT Quantitative Aptitude Questions | CAT Percentages Problems - Variables

###### CAT Questions | Percentage Questions | Percentage - Number of Balls

The question is from CAT Percentages. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023. This is a very interesting question from the topic percentages using Variables.In this question, we are given a bucket with a certain % of large and small balls along with certain % of different colours and we need to find the total no. of balls. It may seem to be a tough one to crack but its a simple, when you understand the concept.

Question 23 : A bucket has ‘a’ number of small and large balls out of which b% are black. Of the small balls, c% are black and of large balls, d% are black. Find the number of small balls in the bucket.

1. a * $$frac{$b - d$}{c + b - d}$ 2. a * $\frac{$b - d$}{c + b - 2d}$ 3. a * $\frac{$c - b$}{b - d}$ 4. a * $\frac{$b - d$}{c - d}$ ## Best CAT Online Coaching Try upto 40 hours for free Learn from the best! #### 2IIM : Best Online CAT Coaching. ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now! ### Explanatory Answer ##### Method of solving this CAT Question from Percentages: Form the equations carefully and you are through! Let the number of small and large balls be S and L respectively => a = S + L ------- Equation$1)
Also, b% of a = c% of S + d% of L
=> ba = cS + dL
=> ba = cS + d(a - S) (Putting L = a – S from Equation(1))
=>( b – d) * a = (c – d) * S
=> S = a * $$frac{$b - d$}{c - d}$ The question is " Find the number of small balls in the bucket. ##### Hence, the answer is a * $\frac{$b - d$}{c - d}$ Choice D is the correct answer. ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### 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! ##### 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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