# CAT Practice : Percents, Profits

Overall Percentage of Ice-cream

## Travel Expenses

Q.31: Hari prepares a budget to visit London. However, he spends 12% of his budget on the first 10% days of his travel when he stays in the city. He knows that he has to spend another 35% of days in city itself, after which he would travel to the country side. What should be the minimum decrease in spending in country side as a percentage of his spending in city so as to complete his travel on the initial budget itself?
1. 33.33%
2. 30.3%
3. 25%
4. 32.23%

Choice B. 30.3%

## Detailed Solution

Budget spent on 10% of days = 12%

So, in 1% of days = $\frac{12}{10}%$

35% remaining days in city = $\frac{12}{10} * 35 = 42%$

Overall budget spent on 45% of days in city = 54%

Days remaining = 55%, Budget remaining = 46%

In 1% of day remaining, he can spend = $\frac{46}{55}%$ of budget

Therefore, % decrease required = $\frac{(\frac{12}{10} - \frac{46}{55})}{\frac{12}{10}} * 100% = \frac{(132 - 92)}{110} * \frac{10}{12} * 100 = \frac{1000}{33} ≈ 30.3%$

## 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,