Simple Interest and Compound Interest Tricks PDF

Today I am going to share Simple Interest and Compound Interest tricks and shortcuts.

Simple Interest 

Simple Interest Tricks
Find  Amount

Examples

#1

Find the simple interest, If
  1. P = Rs.1000, R = 20% per annum, T = 4 years.
  2. P = Rs.600, R = 5% per annum, T = 4 months.
  3. P = Rs.200, R = 6% per six months, T = 3 years.
  4. P = Rs.500, R = 2% per six months, T = 5/2 years.
  5. P = Rs.400, R = 3% per three months, T = 2 months.
  6. P = Rs.730, R = 10% per annum, T = 120 days.
  7. P = Rs. 3000, R = 61/4 per annum, T = period from 4th Feb to 18th Apr.

# Solution

  1. 4×20×10 ⇒ 800
    Simple Interest Basic Question
  2. 2×5 = 10

    Simple Interest Basic Solution
  3. 6×2×3×2 = 72 
    Simple Interest Basic Answer
  4. 5×2×5=50
    Simple Interest Basic Method
  5. 4×2=8
    Simple Interest
  6. 73/3=24
    Simple Interest Basic Formulas
  7. 37.50
Trick to find simple interest


#2 

Find the following:
  1. P = Rs. 100, R = 3% per annum, T = 2 year, A= ?
  2. P = Rs. 500, R = 6% per annum, T = 4 months, A= ?
  3. P = Rs. 400, R = 3.65% per annum, T = 150 days, A= ?
  4. A = Rs. 540, S.I = Rs. 108 , R = 5%, T = ?
  5. A = Rs. 1,120, R = 5%, T = 22/5 yr, S.I = ?

# Solution:

  1. S.I = 6 ; A = S.I + principal ; A = 6 + 100 ⇒ 106
    simple interest tricks
  2. S.I = 10 ; A = S.I + P ; A = 10+500 ⇒ 510
  3. S.I = 6 ; A = 400 + 6 ⇒ 406
    simple interest examples
  4. T = 5 yr.
    simple interest calculator

  5. 120 
    simple interest formula

#3 

  1. A sum of money lent out at simple interest amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. Find the sum and the rate %.
  2. Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of Rs. 11,400 at the end of nine years , how much money did he borrow ?(Bank P.O 1999)
  3. A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61/4% p.a. for 2 years. Find his gain in the transaction per year.(S.S.C.2000)
  4. A certain sum of money amounts to Rs. 1008 in 2 years and to Rs. 1164 in 31/2 years.Find the sum and the rate of interest?
  5. The simple interest on a certain sum of money for 21/2 years at 12% per annum is Rs. 40 less than the simple interest on the same sum for 31/2 years at 10% per annum. Find the sum.
Practice Set for Simple Interest

    # Solution

    1. Principal = 600, R = 10%
      simple interest formula
    2. 12000 
      simple interest for months
    3. 112.50 
      simple interest with answers

    4. [ 1164-1008 = 156  ] ⇒ 156/3×4 = 208 ; R = 208/2×800×100  13
    5. 7x/20 - 3x/10 = 40 ⇒ x = ( 40 × 20 ) ⇒ x = 800 [ Hint : Given Below ]
      formula for interest over time

    # Compound Interest 

    Trick :

    Calculating Compound Interest for 3 Years

    short tricks simple interest and compound interest

    Calculating Compound Interest for 4 year

    Trick for CI

    # Formulas 

    how to calculate compounding interest
    Case 1. When interest is not Compound yearly,
    Amount after 't' years A = P [1+ r/n×100]nt
    n= no of compounding per year
    When interest is compounded half yearly, n = 2
    compounded quarterly, n = 4
    compounded monthly, n = 12

    Case 2. When rate % is no equal every year and interest is compounded yearly
     Basic formula :
    P [1+ r/100] [1+ r/100] ...upto 't' times
    But as rate % is not same every year, so
    A = P [1+ r1/100]t1 [1+ r2/100]t2 .... and so on
    Where R1 = Rate% p.a. for t1 years. and R2 = Rate % p.a. for t2 years.
    Case 3 When interest is compounded yearly but time is in fraction
    T = 53/4 years
    A= (whole part) × (fraction part of time )
    A = P [1+ r/100]×  [1+ 3r/4/100]

    # Difference between Compound Interest and Simple Interest

    CI - SI = P [ R/100 ]2
    When time t = 3 years
    CI - SI = P [ (R/100+3 (R/100)2]

    # Examples

    #1

    • If the compound interest on a certain sum for two years at 10% p.a. is Rs 2,100 the simple interest on it at the same rate for two years will be. ( RRB, 2009)
    • The compound interest on a sum for 2 years is Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound and simple interest for 3 years will be.
    • The difference between simple interest and compound interest on a sum for 2 years at 8% when the interest is compounded annually is Rs. 16, if the interest were compounded half yearly, the difference in one interest would be nearly.
    • The difference in C.I and S.I for 2 years on a sum of money is Rs. 160.If the S.I for 2 years be Rs. 2880, the rate of percent is .
    Practice Set for Compound Interest

      # Solution

      1.  2000
      compound interest questions
      2.  98.56 
      compound interest questions and solutions
      3.  04
      compound interest formula and examples
      compound interest examples
      4. 
      compound interest tricks to find out



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      26 comments:

      1. Sudipta ChatterjeeJuly 17, 2015 at 5:17 PM

        Thanks Ramandeep Sir. It is very helpful

        ReplyDelete
      2. AK :)) गुड boyJuly 17, 2015 at 8:44 PM

        Thanx sirji :-)

        ReplyDelete
      3. AK :)) गुड boyJuly 17, 2015 at 8:51 PM

        Thanx sir :-)

        ReplyDelete
      4. aniket chakrabortyJuly 18, 2015 at 2:38 AM

        Ibps po v vacancy approx?

        ReplyDelete
      5. sir how many months GK i should prepare for AO exam??

        ReplyDelete
      6. Thank You Ramandeep sir...... :)))

        ReplyDelete
      7. approx 15000 ...i read smwhere

        ReplyDelete
      8. 15000 to 1800

        ReplyDelete
      9. thnkewww sir ji :)

        ReplyDelete
      10. any 1 can plz explain the 2 qus in the compound interest section ...

        ReplyDelete
      11. sm errors are dere :(

        ReplyDelete
      12. thanku.can u suggest books for maths??

        ReplyDelete
      13. E mahendras, arihant

        ReplyDelete
      14. thank u sir u r great..:):)

        ReplyDelete
      15. where is the link to DI book

        ReplyDelete
      16. hiii sir...

        sir which books should I prefer for reasoning , apti n English..plz reply sir..

        ReplyDelete

      Thanks for commenting. It's very difficult to answer every query here, it's better to post your query on IBPSToday.com