Practice Test

Q1) If a certain principal amount increases to Rs.6,500 in 3 years at a certain fixed rate of simple interest and Rs.7,500 in 5 years at the same rate of interest, then what is the rate of simple interest? Show Answer

Q2) Chintamani took a loan of Rs.50,000 at a rate of 10% per annum at simple interest for 3 years and invested the money at the rate of 10% per annum for the same period, compounded annually. How much money did he gain or lose in the entire transaction? Show Answer

Q3) A building worth Rs.13,31,000 is constructed on land worth Rs.7,29,000. After how many year will the value of both be the same, if the worth of the land appreciates at 10% per annum and that of the building depreciates at the rate of 10% per annum? Show Answer

Q4) A bank let Rs.4,000 to Manoj at a certain rate of simple interest and Rs.5,000 to Aditi at simple interest at a rate which is 0.5 percentage points more than that of Manoj. After two years, the bank received Rs.860 as interest from both of them combined. Find the rate of interest per annum at which the amount was lent to Aditi? Show Answer

Q5) If the principal is increased by Rs.250, the simple interest increases by Rs.150. if the time period is doubled, the simple interest increases by Rs. 1,500. Find the compound interest on the original principal, for half of the original time period at the same rate. Show Answer

Q6) It takes n years, for Rs. 62,500 to amount to Rs. 1,08,000 at 20% per annum compounded annually. Find the value of n. Show Answer

Q7) A sum of Rs.5,000 deposited by Mr. A at compound interest doubles after 6 years. What will be its value after 18 years? Show Answer

Q8) The compound interest on a certain amount for two years is Rs.2,912 and the simple interest on the same amount is Rs.2,800. Find the principal amount. Show Answer

Q9) The difference between the compound interest and the simple interest for 2 years on a certain sum at 10% rate of interest is Rs.850. find the principal. Show Answer

Q10) A certain amount of money is lent out at compound interest at the rate of 20% per annum for two years, compounded annually. It would give Rs.241 more if the amount is compounded half yearly. Find the principal. Show Answer

Q11) A sum of Rs. 12,615 is divided between a brother and sister who are 12 and 10 years old respectively, in such a way that if their portions are invested at the rate of 5% per annum compound interest, they shall receive equal amounts on reaching 21 years of age. How much money does the brother get initially? Show Answer

Q12) A sum of money was borrowed such that the rate of simple interest was 10% per annum. At the end of the first year, Rs.6,500 was paid off and the rate of interest on the balance was increased to 12% per annum. If the interest for the second year was (3/4)th of the interest for the first year, what was the original sum borrowed? Show Answer

Q13) After how many years approximately would the amount payable on loan be twice the principal, if the principal is lent at the rate of 20% per annum, compounded quarterly? Show Answer

Q14) The population of country A on 1st Jan 2008 was 1 billion and it grows at the rate of 10% per year. The population of country B on the same date was 1.5 billion and it decreases at the rate of 10% per year. On 1st January of which year will country's population become more than that of country B? Show Answer

Q15) Out of a world population of approximately 6.6 billion, 1.2 billion people live in the richer countries of Europe, America, Japan and this figure is growing at the rate of 25% per year, while the other 5.4 billion people live in the less developed countries and this figure is growing at the rate of 15%. What will be the world population in 5 years if we assume that these growth rates will stay constant for the next 5 years? (round answer to 3 significant digits) Show Answer

Q16) Reena took a loan of Rs. 1,200 at simple interest for as many years as the rate of interest. if she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest ( in %) ? Show Answer

Q17) A certain amount earns simple interest of Rs. 1,750 after 7 years. Had the interest been 2% more, how much more interest (in Rs.) would it have earned? Show Answer

Q18) There is 60% increase in an amount in 6 years at simple interest. what will be the compounded interest of Rs. 12,000 after 3 years at the same rate? Show Answer

Q19) Albert invested an amount of Rs. 8,000 in a fixed deposit scheme for 2 years at compound interest rate of 5%. what amount will Albert get on maturity of the fixed deposit Show Answer

Q20) If the simple interest on a sum of money for 2 years at 5% per annum is Rs.50, what is the compound interest on the same sum at the same rate and for the same time? Show Answer

Q21) The difference between simple and compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.)is: Show Answer

Q22) The compound interest on Rs. 30,000 at 7% per annum is Rs. 4,347. The period (in years) is : Show Answer

Q23) A car is bought new at Rs. 3,00,000 and its cost depreciates at 20 % per annum. what is the value of the car (in Rs.) after 4 years? Show Answer

Q24) A colony of bacteria contains 25000 bacteria and it increases at 10% per hour. What is the count of bacteria 3 hours from now Show Answer

Q25) The effective annual rate of compound interest corresponding to a compound interest rate of 6% per annum payable half- yearly is Show Answer

Q26) The maximum guaranteed return to Shabnam is Show Answer

Q27) What strategy will maximize the guaranteed return to Shabnam ? Show Answer

Q28) A yearly payment to the servant is Rs.90 plus one turban. The servant leaves the job after 9 months and received Rs.65 and a turban. Then, find the price of the turban Show Answer

Q29) Ram purchased a flat at Rs.1 lakh and Prem purchased a plot of land worth Rs.1.1 lakh. The respectively annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two years, they exchanged their belongings and one paid the other the difference. Then Show Answer

Q30) A man invests Rs. 3000 at the rate of 5% per annum. How much more should he invest at the rate of 8%, so that he can earn a total of 6% per annum ? Show Answer

Q31) The rate of inflation was 1000%. Then, what will be the cost of an article, which costs 6 units of currency now, 2 yrs from now ? Show Answer

Q32) Find simple interest on Rs. 4000 for 5 year @ 6% P.C.P.A. Show Answer

Q33) Find simple interest on Rs. 18,000 for 4 year @ 12% P.C.P.A. Show Answer

Q34) Ramesh deposited Rs. 29400 for 6 year at simple interest. After 6 year he received Rs. 4200 as interest. The annual rate was Show Answer

Q35) A sum of Rs. 800 amounts to Rs. 920 in 3 years at simple interest. If the interest rate is increased by 3%, it would amount to how much ? Show Answer

Q36) A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 yeas. The sum is Show Answer

Q37) A sum at simple interest amounts to Rs. 2500 in 2 years and Rs. 4000 in 5 years. Find the sum. Show Answer

Q38) A sum of money amounts to Rs. 9800 after 5 years and Rs. 12,005 after 8 years at the same rate of simple interest. The rate of interest per annum is Show Answer

Q39) If simple interest on a sum of Rs. 100 is Rs. 256 and the rate of interest per annum equals the number of years, then the rate of interest is Show Answer

Q40) If the simple interest on Rs. 3000 is less than the simple interest on Rs. 2000 at 5% by Rs. 50, find the time ? Show Answer

Q41) At what rate percent per Annum simple interest, a sum of money doubles itself in 20 years? Show Answer

Q42) A sum of money is lent at S.I. for 8 years. If the same amount is paid at 5% higher, Ramesh would have got Rs. 100 more. Find the Principal? Show Answer

Q43) A sum was put a simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched Rs. 72 more, the sum is Show Answer

Q44) The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is Show Answer

Q45) A sum of Rs 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is Show Answer

Q46) A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is Show Answer

Q47) The simple interest on Rs. 1820 from March 9, 2003 to May 21, 2003 at 7.5 % rate will be Show Answer

Q48) The sum of amount becomes 28 / 25 times of itself in 5 years. Then find the rate of interest P.C.P.A. Show Answer

Q49) The simple interest is 1/9 of the principal. If rate of interest and period of time are equal then what is the annual rate of interest P.C.P.A. Show Answer

Q50) Find the simple interest on Rs. 7500 at 11% for 2 years and 3 months. Show Answer

Q51) Mr. Prakash borrowed a sum of Rs. 10,000 from a finance company for 6 years at 8% per annum. The amount returned by Mr. Prakash to the finance company is Show Answer

Q52) The simple interest accrued in four years on a Principal of Rs. 18,000 is one fifteenth the principal. What is the rate of simple interest PCPA Show Answer

Q53) A sum of Rs. 1550 was lent partly at 5% and partly at 8% simple interest. The total interest received after 3 years was Rs. 300. Find the amount lent on 5% per annum. Show Answer

Q54) A certain sum is invested for T years. It amounts to Rs. 400 at 10% per annum. But when invested at 4% per annum, it amounts to Rs. 200, find the time (T). Show Answer

Q55) David invested certain amount in three different schemes A, B and c with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B ? Show Answer

Q56) A man invests a certain sum of money at 6% per annum simple interest and another sum at 7% per annum simple interest. His income from interest after 2 years was Rs. 354. One-fourth of the first sum is equal to one-fifth of the second sum. The total sum invested was Show Answer

Q57) `The interest on a certain deposit at 4.5% per annum is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% per annum? Show Answer

Q58) A sum of money doubles itself in 7 years at simple interest in how many years it will become four fold ? Show Answer

Q59) An automobile financier claims to be lending money at the simple interest, but he include the interest every six months for calculating the principal. If he is charging at interest of 10%, the effective rate of interest becomes Show Answer

Q60) Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B, the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B? Show Answer

Q61) In what time the sum of money becomes the 4 times of Principal at 15% ? Show Answer

Q62) At what rate of interest the sum of amount doubles itself in 15 years ? Show Answer

Q63) Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next 5 years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how money did he borrow? Show Answer

Q64) How long will it take for a sum of money to grow from Rs. 1250 to Rs. 10,000, if it is invested at 12.5% p.a.simple interest ? Show Answer

Q65) The simple interest is 5.12 of principal in 4 years then find the rate of interest. Show Answer

Q66) The sum of amount Rs. 800 becomes 920 in 5 years at Simple Interest if the rate of interest increase by 3 percent then what will be the amount after 5 years ? Show Answer

Q67) At certain rate of interest Rs. 400 becomes 460 in 3 years. If the rate of interest decrease by 3%, then what will be the amount after 3 years? Show Answer

Q68) At what percent rate of interest Rs. 800 become 836 in 3/4 years? Show Answer

Q69) Divide Rs.2379 into 3 parts so that their amount after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is Show Answer

Q70) Rs. 6,000 lent out into two parts such that simple inteest on 1st part for 2 years @ 6% is equal to simple interest on 2nd part for 3 years @ 8% then find the second part. Show Answer

Q71) Rs. 10,000 is divided into 2 parts. 1st part invest @ 4% and 2nd part invest @ 6% then annual interest from both part is 450 then find the 2nd part . Show Answer

Q72) The sum of amount 7000 was lent out of rate 6% P.C.P.A.and remaining 4% PCPA if the total interest at the end of 5 years was 1600 then find out the sum of amount lent out 6%. Show Answer

Q73) The rate of interest on a sum of money is 4% per annum for the first 2 years 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If the simple interest accrued by the sum for the total period of 9 years is Rs. 11200. What is the sum ? Show Answer

Q74) The price of a TV set worth Rs. 20,000 is to be paid in 20 installments of Rs. 1000 / each month. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be Show Answer

Q75) A lends Rs. 2500 to B and a certain sum to C at the same time at 7% per annum simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C , then the sum lent to C is Show Answer

Q76) What would be the compound interest accrued on an amount of Rs.8000 at the rate of 15 p.c.p.a in three years?. Show Answer

Q77) What will be the compound interest accrued on an amount of Rs. 16,500/- @ 14 p.c.p.a. at the end of 3 years? Show Answer

Q78) What will be the compound interest on a sum of Rs. 40,000 after 3 years at the rate of 11 p.c.p.a.? Show Answer

Q79) What will be the compound interest obtained on sum of Rs. 12,000/- @ 8% per capita per annum for 2 years? Show Answer

Q80) What would be the compound interest accrued on an amount of Rs. 7,400 @ 13.5 p.c.p.a. at the end of 2 years ? (rounded off to two digits after decimal) Show Answer

Q81) What would be the compound interest obtained on an amount of Rs. 20,000 at the rate of 15 p.c.p.a. after 4 years? Show Answer

Q82) A man gets a simple interest of Rs. 1,000 on a certain principal at the rate of 5 p.c.p.a. in 4 years. What is the compound interest? Show Answer

Q83) Find the compound interest on a sum of amount of Rs. 4500 @ 8% p.c.p.a. for 2 years. Show Answer

Q84) At the rate of -----% the sum of amount Rs. 5000 become 6298.56 in three years. Show Answer

Q85) At what rate of interest certain sum of amount becomes 1.728 times in 3 years? Show Answer

Q86) At what time a sum of amount of Rs. 4000 becomes 4630.50 @ of 5% P.C.P.A.? Show Answer

Q87) A certain sum of amount on C.I. becomes 4800 in 4 years and 6000 in 8 years at same rate. Find the sum. Show Answer

Q88) Find the compound interest on the sum of amount 12,000/- @ 8% P.C.P.A. for 1 year. Compound interest compounded half yearly. Show Answer

Q89) Mr. Duggal invested Rs. 20,000 with 20% rate of interest. The interest compounded half yearly for the first year and yearly in the next year. What will be the total interest earned at the end of two years? Show Answer

Q90) A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1st January and 1st July of the year. At the end of the year the amount he would have gained by way of interest is Show Answer

Q91) The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Rs.1 . The sum (in Rs.) is Show Answer

Q92) What will be compound interest obtained on sum of amount 50,000/- @ 40% P.C.P.A. for 1 year if compound interest compounded quarterly. Show Answer

Q93) The difference between compound interest compounded annually and the simple interest on a certain sum of money at 10% p.a. for 2 years is Rs. 40/- find sum. Show Answer

Q94) At a certain rate of interest p.a. the difference between the compound interest and simple interest on 5,000 for 2 years is 72. Find the rate of interest per annum. Show Answer

Q95) There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate? Show Answer

Q96) Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4,000 for 2 years at 10% per annum. The sum placed on simple interest is Show Answer

Q97) If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time? Show Answer

Q98) The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum compounded half-yearly is Show Answer

Q99) What will be the compound interest on Rs. 10,000/- for 3 years. The rate of interest being 4% during first year, 5% during the second year and 6% during the third year. Show Answer

Q100) The sum of amount becomes 3 times itself in 5 years. In how many years the amount will become 81 times itself on compound interest. Show Answer

Q101) On a certain sum, simple interest and compound interest for 2 years are Rs. 400/- and Rs. 420/- respectively. Find annual rate of interest. Show Answer

Q102) The amount on the sum of the principal amount 625/- @ 20% P.C.P.A. for a certain period of time is 1296 find the period of time. Show Answer

Q103) The sum of amount double itself in 4 yrs. In how many years the amount is 8 times itself on CI. Show Answer

Q104) The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time and at half the rate per annum is : Show Answer

Q105) Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. . How much amount will Albert get on maturity of the fixed deposit? Show Answer

Q106) The C.I. accrued in 2 years on principal of Rs. 16,250/- is 5616. What is the rate of interest P.C.P.A.? Show Answer

Q107) The C.I. accrued in two years on a principal of Rs. 15,800/- is 7716.72, what is the rate of interest P.C.P.A.? Show Answer

Q108) What is the difference between S.I. and C.I. incurred on amount of 12,000/- at the end of 3 years at the rate of 12%? Show Answer

Q109) A man borrowed an amount of Rs. 12,500 to bank @ 20% on C.I., he pay installment of Rs. 2000 in every year after 3 installment how much amount will remain? Show Answer

Q110) At what rate certain sum of amount becomes 27 times itself in 3 years? Show Answer

Q111) The income of a man is 8000. If it is decreased by 10% in first year and 5% in second year but increased by 15% in third year Find the income of man after 3 years. Show Answer

Q112) The difference between C.I. and S.I. accrued on an amount at the end of 3 years @ 15% is Rs. 453.6, what is the sum? Show Answer

Q113) The difference between the compound interest and simple interest accrued on an amount at the end of 3 year @ 12% is 381.888, what is the amount ? Show Answer

Q114) Simple interest on certain sum of amount for 3 years @ 8% P.A. is half the compound interest on Rs. 4000 for 2 years @ 10% P.A.. The sum of simple interest is Show Answer

Q115) Manish earns an amount of Rs. 1656 for the third year and Rs. 1440 for the second year on the same sum. Find the rate of interest if it is lent at compound interest. Show Answer

Q116) A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% compound interest. The sum borrowed was Show Answer

Q117) A man borrow a sum of amount Rs. 8200 @ of 5% on C.I. for two years. If he wants to pay in equal installments, find the annual installment. Show Answer

Q118) A man borrows a certain sum of amount on C.I. at the rate of 10% P.C.P.A. for 3 years and he pays 3 equal annual installments of Rs. 1331. What is the sum? Show Answer

Q119) What will be the amount on Rs. 10,000 for 3 years the rate of interest 4% in 1st year, 5% during the second year and 6% during the third year. Show Answer

Q120) Difference between the SI and CI on certain sum of money for 3 year@ 10% PCPA is 713 then what is the sum of amount. Show Answer

Q121) Vibhor borrows Rs. 65,000 at 10% per annum simple interest for 3 years and lends it at 10% per annum compound interest for 3 years. Find his gain after three year. Show Answer