CAT Quantitative Ability Questions | CAT Percentage, Profit & Loss questions

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FundaMakers as a team has taken a painstaking step to bring you all the video solutions of the Percentage, Profit And Loss (PPL) 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 Percentage, Profit And Loss (PPL) 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 Bank. “Questions from CAT previous years” examination papers have been incorporated. Let’s get started with CAT Past Year Percentage, Profit And Loss (PPL) Questions.

CAT/2018.1

Question . 49

John borrowed Rs. 2,10,000 from a bank at an interest rate of 10% per annum, compounded annually. The loan was repaid in two equal instalments, the first after one year and the second after another year. The first instalment was interest of one year plus part of the principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each instalment, in Rs., is

Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Percentage, Profit & Loss question

121000

We have to equate the installments and the amount due either at the time of borrowing or at the time when the entire loan is repaid. Let us bring all values to the time frame in which all the dues get settled, i.e., by the end of 2 years.

John borrowed Rs. 2, 10,000 from the bank at 10% per annum. This loan will amount to 2, 10,000*1.1*1.1 = Rs.2, 54,100 by the end of 2 years.
Let the amount paid as installment every year be Rs.x.
John would pay the first installment by the end of the first year. Therefore, we have to calculate the interest on this amount from the end of the first year to the end of the second year. The loan will get settled the moment the second installment is paid.
=> 1.1x + x = 2,54,100
2.1x = 2,54,100
=> x = Rs. 1,21,000.
Therefore, 121000 is the correct answer.

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