Simple and Compound Interest Practice Questions for Quantitative Techniques

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Simple and Compound Interest Practice Questions for Quantitative TechniquesQuestion 1: If Sneha invests some sum of money lets say P in Equity market which amounts to Rs. 990 in 2.5yrs with Simple Interest while it amounts to Rs. 1044 in 4 yrs. Answer the following questions based on the above data.​​ What is the rate of interest?a) ​​ 4%  b) 6%  c) 3%  d) ​​ 5% What is the Principal amount that was invested?​​ Rs.​​ 950  b)​​ Rs.​​ 900  c)​​ Rs.​​ 930 d)​​ Rs.​​ 980In how many years the amount will double itself with Simple Interest at​​ 8%?12.5 yrs b) 10 yrs  c) 9.09 yrs d) 11.11 yrsIf the interest was compounded instead of simple Interest, then how much Sneha would have earned in 3 yrs?​​ Use R as of 1st​​ part of this question.Rs.1008​​  b)​​ Rs.1067  c)​​ Rs.​​ 1012​​   d)​​ Rs.​​ 1030If the rate of compounding increased by 10% after 3 years and two-year compounding is done, what is the amount after 5 years?Rs.​​ 1055 b)​​ Rs.1045  c)Rs.1032  d)​​ Rs.1152​​ Question 2: Varun borrowed a total sum of Rs. 250,000 from 2 money lenders. For one loan, he paid interest at 7.5% per annum and the other loan at 10% per annum.​​ The interest calculation is based on Simple Interest concept.If the​​ Total​​ interest paid is 9.35%,​​ What is the​​ interest paid in the 1st​​ year?Rs.26730 b) Rs. 23375​​  c) Rs. 24450 d) Rs. 25750​​  If the borrowed sum is in the ratio of 3:2, then what is loan amount from 2nd​​ lender?Rs. 100000  b) Rs. 150000​​   c) Rs. 10000 ​​ d) Rs. 15000What is the interest amount to pay for 1st​​ loan with 7.5% in one year?Rs. 11000​​   b) Rs. 15000  c) Rs. 11250 ​​ d) Rs. 10250 How many years it would take to pay​​ triple​​ the loan amount?22 yrs​​   b) 10.695 yrs​​   c) 20.5 yrs d) 21.39 yrsWhat is the total amount he is paying every year if the period to loan repay is​​ 10yrs?Rs. 48375​​   b) Rs. 45000  c) 50112 d) Rs. 47000 Solution and AnswersAns: a) ​​ 4%Sol:  ​​​​ 990 = P( R * 2.5 / 100 + 1)  ​​​​ … eq(1) ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 1044 = P (R * 4 / 100 +1)  ​​ ​​ ​​​​ … eq(2) ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Dividing eq(2) by eq(1), we get ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ 1044/990 = (R/25 +1)40/25(R/40+1) ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ On solving the above equation we get R=4%Ans: b)​​ Rs.​​ 900Sol:​​ Using the equation from the previous question, substituting R=4%, we get P = 900Ans: a) 12.5yrs​​ Sol:​​ The formula for doubling the amount will be used here, ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ R= 8%; T = 100/8 = 12.5yrsAns: c)​​ Rs.​​ 1012Sol:​​ Amount = P(1+R/100)T​​ A = 900(1+4/100)3​​ ​​ = 1012.37Ans: d)​​ Rs.​​ 1152Sol:​​ Rate of Interest increased by 10% after 3 yrs,​​ hnce new R= 4%*1.1 = 4.4% ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Amount = 900(1+4/100)3(1+4.4/100)2​​ (using the formula for different rate of interest.  ​​ ​​ ​​ ​​ ​​​​ = 1151.97 ​​ ​​ ​​ ​​ ​​​​ Ans:​​ b) Rs. 23375 ​​ ​​ ​​ ​​ ​​​​ Sol:​​ P =Rs. 250000; Annual R for both loans combined= 9.35% ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Interest =​​ PR*1/100 = 250000*9.35/100 = Rs. 23375 ​​ ​​ ​​ ​​ ​​​​ Ans:​​ a) Rs. 100000Sol:​​ Ratio of the loan amount is 3:2 for two lenders hence second loan amount would be 2/5 part of Total loan i.e., 250000*2/5 = Rs. 100000 ​​ ​​ ​​ ​​ ​​​​ Ans:​​ c) Rs. 11250​​ Sol:​​ As the loan from the first lender was Rs. 250000*3/5 = Rs. 150000 ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Interest for the first loan for 1 year = PR*1/100 = 150000*7.5/100 = Rs. 11250 ​​ ​​ ​​ ​​ ​​​​ Ans:​​ d) 21.39 yrsSol:​​ The formula for tripling the amount will be used here, ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ R= 9.35%; T = 200/9.35 = 21.39 yrs ​​ ​​ ​​ ​​ ​​​​ Ans:​​ a) 48375Sol:​​ Amount = 250000(9.35*10/100 ​​ + 1 ) ​​ = Rs. 483750 ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Yearly payment = 483750/10 = Rs. 48375 (function( $ ) { //footnotes $('.defaultNote').children(":first").css('cursor', 'pointer'); $('.defaultNote').children(":first").click(function(){ var gotoID = '#' + $(this).parent().attr('id'); $('html, body').animate( { scrollTop: $('a[href="' + gotoID + '"]').offset().top - 60, }, 250, 'linear' ) }); }(jQuery)); var numFormat = ",."; (function( $ ) { "use strict"; //do some cleaning on load var sortCells = $('td[data-sorting], th[data-sorting]'); sortCells.each(function(){ var first = $(this).text().trim().charAt(0); if (first == '@'){ var oldHTML = $(this).html(); var newHTML = oldHTML.replace('@', ''); $(this).html(newHTML); } }); function sortingTable(node, pos, ordBy){ var rows = node.children('tbody').children('tr').get(); rows.sort(function(a, b) { var X = $(a).children('td').eq(pos).text().toUpperCase(); 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} //unbind the click event just in case we are loading more than one document $("td[data-sorting], th[data-sorting]").off('click'); $("td[data-sorting], th[data-sorting]").click(function(){ removeTableCellDecoration(); $(this).addClass('sortDecorator'); //get desired ordering var ordering = $(this).attr('data-sortOrdering'); if (ordering == 'ASC'){ var ordBy = -1; $(this).attr('data-sortOrdering', 'DESC'); } else { var ordBy = 1; $(this).attr('data-sortOrdering', 'ASC'); } var cellPosition = $(this).prevAll().length; var table = $(this).parents('table:first'); sortingTable(table, cellPosition, ordBy); }); function convert2number(str) { str = str.trim(); if (str.match(/^\d+/)) { //we have to take special care when the thousand separators are '.' var result_0 = str.replace(/\./g, '_@_'); var result_1 = result_0.replace(window.numFormat[0], '.'); var result = result_1.replace(/_@_/g, ''); result .replace(/ /g, ''); return result; } else { return str; } } }(jQuery));