Q1 . In what time will a sum of money become fifteen times itself at 21% p.a. simple interest?
Q2 . A man borrowed Rs.80, 000 at the rate of 10% p.a. compound interest, interest being compounded annually. How much amount should he have repaid at the end of the first year, if by repaying Rs.55, 000 at the end of the second year he can clear the loan?
Q3 . A certain sum of money increased by 72.8% at a certain rate in three years with interest being compounded annually. If the same sum is lent at simple interest at the same rate of interest, in how many years would it become four times itself?
Q4 . A sum of Rs.6, 440 is due to be repaid over four years. It has to be repaid in four equal annual installments (the installments being payable at the ends of the 1st, 2nd, 3rd and 4th years) at 10% p.a. simple interest. Find the value of each installment.
Q5 . A sum was borrowed at 20% p.a. compound interest. It was repaid in three annual installments at the end of one year, two years and three years respectively. The first, second and third installments were Rs.2, 400, Rs.2, 304 and Rs.5, 184 respectively. Find the sum borrowed (in Rs) ?
Q6 . A sum of Rs.2, 000 was split into two parts. One of the parts was invested at 8% p.a. simple interest and the other part was invested at 5% p.a. compound interest. Each part was invested for two years. The total interest realized from the two parts was Rs.251. Find the value of the part invested at simple interest.
Q7 . A person invested a sum of Rs.91.3. In how many years will the sum become Rs.5, 000, if it is compounded every moment at the rate of 100% p.a.? (Given e = 2.72)
Q8 . A certain amount of money lent at compound interest becomes 2.25 times itself in 3 years. If the rate of interest for the first, second and the third years are in the ratio 4: 5: 10, find the rate of interest for the third year given that the interest is compounded annually
Q9 . A sum of money becomes eight times in 3 years if the rate is compounded annually. In how years the same amount at the same compound interest rate will become sixteen times?
Q10 . If a sum on CI becomes three times in 4 years, then with the same interest rate, the sum will become 81 times in:
Q11 . A man borrows a certain sum at 20% compounded annually and lends it at 25% simple interest. What is the maximum number of years for which he can wait, so that he does not bear any loss?
Q12 . A sum of money lent out at simple interest amounts to Rs. 680 after 3 years and to Rs. 980 after further 5 years. Find the rate of interest.
Q13 . If the difference between the compound interest and simple interest on a certain sum of money is Rs. 72 at 12% annum for 2 years, find the amount.
Q14 . A father left a will of Rs. 35 lakh for his two daughters, aged 8.5 years and 16 years, such that they may get equal amounts when each of them reaches the age of 21 years. The original amount of Rs. 35 lakh has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get?
Q15 . 15.Divide Rs. 3,903 between A and B, such that A's share at the end of 7 years is equal to B's share at the end of 9 years at 4% p.a. rate of compound interest.