CAT Quantitative Ability Questions | CAT Averages, Ratio & Proportion questions

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FundaMakers as a team has taken a painstaking step to bring you all the solutions of the Average, Ratio And Proportion, Mixtures, And Alligations asked in the Previous Year CAT exam. CAT question bank offered by FundaMakers is a power-packed topic-wise compilation of the entire CAT previous year questions. Questions from the Average, Ratio And Proportion, Mixtures, And Alligations topic are some of the most scoring questions in the QA section. Other than the formulaic knowledge, it also tests your clarity about the topic. To maximize your CAT score make use of FundaMakers CAT Question BankQuestions from CAT previous years examination papers have been incorporated. Let’s get started with CAT Past Year Average, Ratio And Proportion, Mixtures, And Alligations Questions.

Comprehension

Directions for questions 58 and 59:

Answer questions on the basis of the information given below:

An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs 1200 and Rs 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400.

CAT/2006

Question . 69

What is the free luggage allowance?

View Answer

Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Averages, Ratio & Proportion question

Correct Option: B

Let the limit be x and the rate of charge be k per kg.

Let the excess luggage with Raja be R kg.

So, excess luggage with Praja = 2R kg

Now, excess luggage with Raja + excess luggage with Praja = 60 - 2x So, 3R = 60 - 2x => R = 20 - 2x/3 which was charged 1200 Also, if one person had the entire luggage, excess luggage would have been 60 - x,

which would have been charged 5400. => (60-2x)/3*(60-x) = 1200/5400

Solving this, x = 15 kg






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