Monday, 23 May 2022

Compound Interest

    COMPOUND INTEREST

1) If the amount becomes ₹ y for any principal having the rate of simple interest of x% p.a., for x years, then the principal will be.
A) ₹ xyz.   B) ₹ xz/(100+y)
C) ₹100y/(100+xz).
D) ₹100z/(100+xz)

2) The Compound Interest and simple interest for one year at the fixed rate of interest on fixed sum of money are -----.                 Same

3) If the rate of increase in population is r% per year, the population after n years is p; find the present population.  P(1+r/100)⁻ⁿ

4) Calculate the Compound Interest and amount on ₹16000 for 3/2 years at the rate of 10% Compound Interest p.a., compounded at the interval of 6 months.         18522, 2522

5) If ₹ x will be simple interest per month at the rate of 5%. Then find x.     
A) 200 B) 220  C) 240. D) 260

6) The value of a machine decreases 2r%. If the value of machine is 2P now, then the value of machine 2n years ago was ₹ 2P(1- r/50)⁻²ⁿ.        T./F

7) If the simple interest is 25% of certain sum And rate of interest is equal to time. Find the rate%. 25%

8) In a City, rate of accident decreases at 10% p.a., If 4374 accident occur in this year, Find the number of accident occurred 3 years ago.                       6000

9) If Compound Interest Compounded semiannually at the rate of r% on ₹p for n years. Then amount will be _____.    P(1+ r/200)²ⁿ.

10) If the sum and time will be equal then simple interest and rate also be equal.  T./F   

11) If the simple interest on certain sum at the rate of 10% in 2 years is ₹400. Find the Compound Interest at the same rate and time.                    ₹420

12) In how many years ₹ 4000 becomes₹5324 at 10% p.a Compound yearly.                  3yrs.

13) Simple interest on ₹P is ₹ I for 1 years at r% p.a then
A) I= Prt.              B) Prt I= 100
C) Prt= 100 I.     D) I= P(1+ r/100)

14) If ₹400 become ₹441 in 2 years Compounded yearly. Find the rate.           5%

15) In how many years sum becomes double at the rate of 5% p.a at simple interest.           
A) 10  B) 15     C) 20.       D) 25

16) If the ratio of sum and amount in per year is 20:21. Then rate will be____.                  5%

17) Find the rate of interest, if the simple interest 1/4 of its sum in 5 years.                         5%

18) On what sum the difference between simple interest and Compound Interest in 2 years is ₹80.                   50000

19) For ₹ 1 the simple interest is ₹1 in 1 month, then rate be
A) 6%. B) 8% C) 12%.  D) 1%

20) Compound Interest on ₹ P at 20% in 1.5 years, Compounded semiannually _________.     331P/1000

21) Find the sum if Compound Interest ₹228.75 at 5% in 3 years.  30000

22) Ram deposit ₹200 for 2 years and received ₹242. Find the rate %..     
A) 10%.  B)20%. C) 5% D) 21/2%

23) Amount at x% simple interest on ₹12y for 10 months. ___.    (12y + xy/10) Rs.

24) A sum becomes 4times in 5 years Compounded yearly. How many times the sum will have in 20 years.                   16 times

25) If the simple interest and Compound Interest in 2 years ₹ 8400 and ₹8652 respectively. Find the rate percentage.      7000, 6%

26) Population of a city is n. 1st year population increases x%, second year decreases x%, find its present population.    n(1- x²/100²)

27) If r= r%, time= n years, simple interest= Pnr/100, Sum= ?
A) ₹ 2P B) ₹4P. C) ₹P/2. D) ₹ P/4

28) If the ₹100 becomes ₹121 in 2 years at 2 years,. Rate ___.  10%

29) Ram deposited ₹620000, in three banks at 5% simple interest in such a way that the simple interest for 2yrs, 3yrs, 5yrs be equal. Find the sums in different accounts.    30000,20000,120000

30)  A sum becomes double at 25/4% in t years. Then t be
A) 25yrs B)16yrs. C)12yrs D)25/4

31) Sum=₹P, Rate= r%, Compounded yearly for 2 years. Interest ₹____.      [P(1+r/100)²ⁿ-1]

32) Ram took loan ₹60000 at 6% Interest reckoned simple interest. After 3 years he paid ₹30000. After 2 years he wants to settle his account. Find the sum to settle his account.           ₹ 45696

33) Present cost of a Mobile is ₹3000. It was ₹5000 before one year. Rate of depreciation__   40%           

34) In how many years the sum ₹15625 becomes ₹17576 at 4% Compounded yearly.           3 yrs.

35) Ram deposited money for his two daughters at the rate of 10% simple interest in such a way that they will receive ₹120000 at the age of 18. At present they are 13 and 8 years respectively. Find the sum deposited for each girl.    80000, 60000.

36) Rate= X%, Simple Interest= ₹X, time= X years. Sum= ?
A) ₹100X                B) ₹100/X.
C) ₹100/X²             D) ₹10/X

37) Present population of a village is P. Rate of increase 2r%, Population after n years___. P(1+r/50)ⁿ.

38) Due to decrease of rate 5% to 4.5% simple interest. Income reduced by ₹ 75. Find the sum? ₹15000

39) The ratio of simple interest and Compound Interest on ₹ 100 for 2 years at 10% Interest p.a will be.
A)10:11 B)11:10 C)20:21. D)21:20

40) The simple interest on ₹100 for 9 years at the rate of p% p.a is ₹ _____.                              9p

41) If in case of Simple interest, the principal and total Interest are equal, then time decreases with the increase in the rate of interest.   T./F

42) X took a loan of ₹240000 from a bank at the rate of 12% simple interest p.a for building a house. Just after one year he lets his house at the rate of ₹5200 per month. In how many years will he able to clear the loan with Interest in one instalment a from the rent accumulated?         8 yrs.

43) What is the rate of Simple interest per annum, when the interest of some money in 4 years will be 8/25 part of its principal -- determine it.       8%

44) Find the sum, if the Compound Interest per annum becomes ₹615 after two years is at the rate of 5% p.a.          6000