# CAT Practice : Percents, Profits

Overall Percentage of Ice-cream

## Ice Cream Factory

Q.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%

Choice B. 34.28%

## Detailed Solution

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)………….(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 (1))

% of overall ice-cream mixed = $\frac{0.8y}{(x+y)} * 100 = 0.8 * \frac{3}{7} * 100$ = 34.28%

## Our Online Course, Now on Google Playstore!

### Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.

### Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

## More questions from Averages, Ratios, Mixtures

A number of beautiful questions from three allied topics. Most sportsmen will tell you - If you know the percentage play, you can profit well from it,