CAT Quantitative Aptitude Questions | CAT Percentages Problems - Integers

The question is from CAT Percentages. CAT exam is known to test on basics rather than high funda ideas 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. In this question, A man plans for a trip to London. He spends certain % of amount in certain % of days in city and later he should move to country side. He should spend less amount in country side so that his total expenses is within the intial budget that he planned. So, we need to find the minimum decrease in spending in country side as a percentage of his spending in city.

Question 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%

Explanatory Answer

Method of solving this CAT Question from Percentages: Simple percentage calculations!

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}\\)) ^th
Therefore, % decrease required = \\frac{(12/10 - 46/55)}{12/10}\\) * 100 = 30.3%

The question is " 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? "
the minimum decrease in spending in country side as a percentage should be 30.3%

Hence, the answer is 30.3%

Choice B is the correct answer.