Compound interest (C)

1) Find the compound interest on Rs 25000 at 10% per annum for 3 years.                                      ₹8275

2) A man borrowed ₹25000 from a finance company at 20% per annum compounded half yearly. What amount of money will discharge his debts after 3/2 years.           ₹33275

3) Find the compound interest on ₹15625 at 16% per per annum, for 9 months when compounded quarterly.                                   ₹1951

4) Find the compound interest on ₹14000 for 2 years at 5% per annum. ₹

5) Find the compound interest on 5000 for 2 years when the rate of interest is 10% per annum.

6) Salma borrowed from Mahila Samiti a sum of ₹625 to purchase a sewing machine. if the rate of interest is 4% per annum, what is the compound interest that she has to pay after 2 years ?

7) A Man borrows ₹2000 to install a hand pump in his diary. if the rate of interest is 4% per annum.calculate the compound interest that he pay after 3 years.

8) Find out the compound interest on ₹ 32000 for 1 year 6 months at 10% per annum when the interest is payable half yearly.

9) A man puts ₹2000 in a bank in a fixed deposit account for a year. The bank pays compound interest at 8% per year, interest being payable half-yearly. Find the amount of money to the man's credit man's credit after one year.

10) Compute the compound interest on ₹5000 for 3/2 years at 16% per annum, compounded half yearly.

11) Compute the compound interest on ₹ 8000 for 1 year at 20% per annum compounded quarterl.

12) Find out the compound interest on ₹6400 for 9 months at 10% per annum. If the interest is interest is payable quarterly.

13) Mrs. Malhotra deposited ₹ 10000 in a bank for six months. if the bank pays the bank pays compound interest at 12% per annum reckoned quarterly, find the amount to be received by her on maturity.

USING FORMULA:

A= P(1+ R/100)ᵀ And C. I= A - P Where ,

A= Amount,

P= Principal

R= Rate %

T= Time,

C. I = Compound Interest

It becomes very easy to calculate the compound interest....

1) Find the amount and the compound interest on ₹24000 for 3 years at 10% per annum. 7944

2) Find the compound interest on ₹4960 for three years at 25/% per annum. ₹81

3) Karuna borrowed 57600 from Life Insurance Corporation against her policy at 25/4% per annum to build a house. Find the amount that she pays to the LIC after 3/2 years if the Interest is calculated half yearly. ₹69089.06

4) A man deposited Rs32768 in a bank, where the Interest is credited quarterly. If the rate of interest be 25/2% per annum, How much amount will he receive after 9 months? 35937

5) Find the amount of 12500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year. 16675

6) Find the compound interest on ₹ 8000 at 15% per annum for 7/3 years.                                         3109

7) Find Amount:

A) Principal = ₹3000, rate= 5% p.a, Time= 2 years.

B) Principal = ₹5000, rate= 10 paise per rupee p.a, Time= 2 years.

C) Principal = ₹625, rate= 4% p.a, Time= 2 years.

D) Principal = ₹2000, rate=4 paise per rupee p.a, Time=3 years.

E) Principal = ₹8000, rate= 15% p.a, Time= 3 years.

8) Find the compound interest on ₹ 8000 for 3/2 years at 10% per annum, interest being payable half yearly.

9) How much would a sum of ₹ 16000 amount to in 2 years time at 10% per annum compound interest, interest being payable half-yearly ?

10) Ram lent ₹40000 to Shyam for a shop at 10% compound interest compounded half yearly. Find the compound interest paid by Shyam after 6 months.

11) Find the compound interest on ₹1000, at the rate of 8% per annum for 3/2 years when interest is compounded half yearly.

12) Salma borrowed ₹64000 from a bank for 3/2 years at the rate 10% per annum. Find the amount paid by her after 3/2 years, If interest is compounded half-yearly.

13) Find the compound interest on ₹16000 for 1 year at the rate of 20% per annum, If the interest is compounded quarterly.

14) A man bought a refrigerator for ₹8000 on credit. The rate of interest for the first year is 5% and the second year is 15% 15% year is 15%. How much will it cost him if he pays the amount after 2 years.

15) What will ₹125000 amount to at the rate of 6% , if the interest is calculated after every four months?

16) Find the compound interest on 62500 where the rate of interest is 2% for the first year year , 3% for the second year and 4% for 3rd year.

17) Find the compound interest on ₹6400 at 35/2 % per annum for 2years.

18) Find the compound interest on 12800 at 15/2% per annum for 3 years.

19) Find the amount when a sum of ₹ 5120 is lent out out at the compound interest at 25/2% per annum for 11/5 years.

20) Find the amount of ₹ 31250 for 5/2 years compounded annually, rate of interest being 12% per annum.

21) What sum will becomes ₹5408 after 2 years at 4% per annum when the interest is compounded annually?                              5000

22) The difference between compound interest and simple interest for 2 years at 5% per annum at certain sum of money is ₹ 2.50. Find the sum.               ₹1000

23) Find the annual rate of compound interest at which ₹8000 will become ₹10648 after 3 years. 10% p.a

24) After what time will 5400 yields ₹ 1373.76 as compound interest at 12% per annum?                       2yrs.

25) Find the principal, if the compound (compounded annually) at the rate of 10% per annum for 3 years is 331.

26) Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of 2 years ₹1290 as interest compounded annually. Find the sum she borrowed.

27) What sum will become ₹ 4913 in 3/2 years, if the rate of interest is 25/2% compounded half yearly.

28) The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound rest is 163.20

29) In what time will ₹64000 amount to ₹68921 at 5% per annum interest being compounded half yearly?

30) In how much time would ₹5000 amount ₹6655 at 10% per annum compound interest ?

31) Mamta invested ₹1000 in a finance company and received ₹1331 after 3 years. Find the rate of interest percent per annum compounded annually.

32) Arjun purchased Rahul Patra ₹1000, sum of which will fetch him ₹2000 after 5 year. Find the rate of interest is compounded half yearly.(given ¹⁰√2= 1.072)

33) At what rate percent per annum, compound interest will ₹ 1000 amount to ₹1331 in 3 years.

34) The difference between the compound interest and the simple interest on a certain sum of money at 10% per annum for 2 years is ₹500. Find the sum when the interest is compounded annually.        50000

35) The difference between the compound interest and the simple interest on a certain sum sum at 15% per annum for 3 years is ₹283.50 Find the sum.

36) Find the compound interest at the rate of 5% for 3 years on that principal which in 3 years at the rate of 5% per annum gives ₹ 1200 as simple interest.                       1261

37) The present population of a city is ₹800000. if the rate of growth is 5% per year, find its population after 3 years.                             926100

38) The population of a town in the year 1991 was 140000. If the increase during the day next three year be estimated at 5% , 6% and 5% respectively. What will be its population in the year 1994 ? 1636111

39) the population of a certain city is 125000. if the annual birth rate is is 3.3% and the annual death rate is 1.3 % . calculate the population after 3 years.

40) The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour. if the count of bacteria in the sample is 1210000, what will be the count of bacteria after 3 hours. 1317690

41) A machinery plant costing ₹800000 depreciates in value by 15% annually. Find its value after 3 years.                                      491300

42) Rahim bought a new car for ₹95000. After using it for two years he sold it out. If its value depreciated 20% and 15% annually respectively, what did he get for the car ?                                         64600

43) The value of a residential flat constructed at a cost of 100000 is depreciating at 10% per annum. What will be its value 3 years after construction?

44) Mr. Cerian purchased a boat for ₹16000. If the cost of that boat is deprecating at the rate of 5% per annum, calculate its value after 2 years.

45) The Nagarpalika of a certain city started a campaigns to kill stray dogs which numbered 1250 in the City. As a result the population of stray digs started decreasing at the rate of 20% per month. Calculate the number of stray dogs in the City three months after the campaign started.

46) 8000 blood donors were registered with a charitable hospital. Some Student Organisation started mobilising people for this noble cause. As a result the number of donors registered increased at the rate of 20% per half year. Find the total number of new registrant during 3/2 years.

47) the cost of a TV set was quoted as ₹15000 at the beginning of 1996. after a few months, the price was hiked by 5%. Because of decrease in demand, the cost was reduced by 4%in 1997. However, because of some taxes in 1998 budget the price was again hiked by 5%. What is the cost of the TV set at the end of 1998?

48) In the month of January, the railway police caught 4000 ticketless travellers. In February , the number rose by 5%. However, due to constant visit by the police the number reduced by 5% in March and in April it further reduces by 10%. What is the total number of ticketless travelers caught in the month of April ?

49) the population of Pakistan in 1995 was 7.95 x 10⁷. After three years the population became 8.65 x 10⁷. Find the annual rate of increase, if it is given that ³√(8.65/7.95)= 1.02853.

50) The population of a city is 1500000. It increases by 9% in the first year, by 10% in the second year and by 11% in the third year. What will the population be at the end of 3 years.

51) The population of a town increases by 4% every year. It's present population is 540800. What was it 2 years ago ?

52) The population of a town is 64000. If the annual birth rate is 10.7% and the annual death rate in 3.2%, calculate the population after 3 years.

53) Due to migration to cities, the population of a village decreases at the rate of 4% per annum. If its present population is 11520, what it was 2 years ago ?