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%

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=> $$frac{x}{y}\\$ = $\frac{4}{3}\\$ => $\frac{x}{y}\\$ + 1 = $\frac{4}{3}\\$ + 1$On adding 1 to both sides of the equation)
$$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))