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 2019. 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}\\)

Online CAT Coaching for CAT 2019

Signup to sample the Best CAT Online Coaching

Best CAT Coaching in Chennai

Starts Sat, Mar 16, 2019

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.


Online CAT Coaching
Try it free!

Register in 2 easy steps and start learning in 30 seconds!

★ Sign up for Free

Already have an Account?

★ Login to Continue

CAT Coaching in Chennai

Next Weekend Batch Starts Sat, Mar 23rd, 2019

★ CAT Coaching Info

Best CAT Coaching in Chennai

Sign up for a Free Demo of our CAT Coaching in Chennai

★ Schedule Demo

CAT Preparation Online | CAT Arithmetic Videos On YouTube

Other useful sources for Arithmetic Question | Percentages Profits SICI Sample Questions

CAT Questions | CAT Quantitative Aptitude

CAT Questions | CAT DILR

CAT Questions | Verbal Ability for CAT

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
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now