# CAT Quantitative Aptitude Questions | CAT Percentages Problems - Integers

###### CAT Questions | Percentage Questions | Mixtures
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The question is from CAT Percentages. CAT tests multiple ideas in the same question, and 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2019. This question is from the topic percentages using integers and ratios. In this question, An ice cream factory produces different flavours of ice cream and mixed in certain ratio and we need to find the overall percentage of ice-cream produced which is mixed together.

Question 30 : In an ice-cream factory, 30% of total Vanilla-flavored ice-cream produced is mixed with 40% of total Banana-flavored ice-cream produced, in a ratio of 1:1. Find the overall percentage of ice-cream produced which is mixed with each other. (Ice-creams of only these 2 flavors are produced in the factory)

1. 17.14%
2. 34.28%
3. 35%
4. More information required

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### Explanatory Answer

##### Method of solving this CAT Question from Percentages: Forming the right equation based on the question is enough.

Let the total Vanilla-flavored ice-cream produced and total Banana-flavored ice-cream produced be x and y respectively
Given,
30% of x = 40% of y (Since ratio is 1:1) ------Equation(1)
=> $$frac{x}{y}\\$ = $\frac{4}{3}\\$ => $\frac{x}{y}\\$ + 1 = $\frac{4}{3}\\$ + 1$On adding 1 to both sides of the equation)
$$frac{$x + y$}{y}$ = $\frac{7}{3}\\$ $\frac{y}{$x + y$}$ = $\frac{3}{7}\\$ Total ice-cream mixed = 0.3x + 0.4y = 0.4y + 0.4y = 0.8y$from Equation(1))
% of overall ice-cream mixed = $$frac{0.8 y}{$x + y$}$ * 100 = 0.8 * $\frac{3}{7}\\$ * 100 = 34.28% The question is " Find the overall percentage of ice-cream produced which is mixed with each other " The overall percentage of ice-cream produced which is mixed with each other is 34.28% ##### Hence, the answer is 34.28% Choice B is the correct answer. ###### Best Online CAT CoachingSignup and sample5 classes for free Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiEnroll at 29000/- Next Weekend Batch Starts Sat, June 29th, 2019 ###### Best CAT Coaching in ChennaiEarly Bird discount of 7000 Personalised attention, Small batch sizes. ##### 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
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