Question

You invest all money you have in a plan 4 consecutive times. Each time your money get doubled and you spent rupees 100 on the party after the investment you are left with no money. What is the initial amount you have?​

Answer 1

Answer:

6.25

Step-by-step explanation:

for 4consecutive time ...

$6.25 \times 2 = 12.50 \\ 12.5 \times 2 = 25.00 \\ 25 \times 2 = 50 \\ 50 \times 2 = 100$

Answer 2

Given :  You invest all money you have in a plan 4 consecutive times. Each time your money get doubled and you spent rupees 100 on the party after the investment

you are left with no money.

To Find :   initial amount you have

Solution:

Straight Method :

Assume initial Amount   =  X

Became   2X    

After 1st investment and party : Left after = 2X - 100

After 2nd investment and party : 2(2X - 100)  - 100  = 4X - 300

After 3rd investment and party : 2(4X -300)  - 100  =8X -700

After 4th  investment and party : 2(8X -700)  - 100  =16X -1500

16X -1500 = 0

=> X = 1500/16  = 93.75

Started with 93.75

Verification :

Before Invest     After  Invest        After Party

93.75                    187.5                     87.5      

87.5                       175                       75

75                           150                      50        

50                           100                       0

 

Back Ward calculation : ( No Need to assume Variable )

Amount after 4th investment  = 0 +  100 = 100

Amount before 4th investment = 100/2 = 50

Amount  after 3rd investment = 50 + 100 = 150

Amount before 3rd  investment = 150/2 = 75

Amount after 2nd investment  = 75 +  100 = 175

Amount before 2nd investment = 175/2 = 87.5

Amount  after 1st investment = 87.5 + 100 = 187.5

Amount before 1st investment = 187.5 = 93.75

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