CAT Quantitative Aptitude Questions | CAT Percentages Problems - Integers

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 2023. 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

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.