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Four temples and a person

(16 votes, average: 3.88 out of 5)

June 29, 2014 by puzzler 11 Comments

One person has some money in his pocket, He visits four temple on the way.
As soon as he enters a temple, his money gets double and he offers Rs. 100 in each temple. thus his pocket gets empty after he returns from the fourth temple.
How much money he had initially ?

Check your answer:-

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Click here to See SolutionHide
Let the person have Rs x with him initially.

When he reached 1st temple his money becomes double that means 2*x or 2x. After he leaves 1st temple remaining amount is 2x-100

then after leaving 2nd temple he have [2*(2x-100)]-100 = 4x-300

then after leaving 3rd temple he have [2*(4x-300)]-100 = 8x-700

then after leaving 4th temple he have [2*(8x-700)]-100 = 16x-1500 which should be equal to 0 since he has nothing at the end

So 16x-1500=0
16x=1500
x=1500/16=93.75

OR you can reverse engineer
before the 4th temple he must be having 50, so that it doubles to 100 and offer 100 Rs.
before the 3rd temple he must be having 75 => 150 – 100 => 50 (for 4th temple)
before 2nd temple he must be having 175/2 = 87.5 => 175 -100 => 75 (for 3rd temple)
before 1st temple he must be having 187.5/2 = 93.75=> 187.5 – 100 => 87.5 (for 2nd temple)

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Comments

  1. akshay singh says

    June 30, 2014 at 6:54 pm

    93.85

    Reply
  2. atul suri says

    June 30, 2014 at 12:19 pm

    93.75

    Reply
  3. pkpbhilai says

    June 30, 2014 at 4:43 am

    Yes; It is Rs 93.75; and the process goes like this:

    1.93.75×2=187.5-100=87.5
    2.87.5×2=175-100=75
    3.75×2=150-100=50
    4.50×2=100-100=00

    Reply
    • sujoy Bhattacharya says

      July 1, 2014 at 4:24 am

      How did u find it

      Reply
      • Radhika says

        July 23, 2014 at 1:56 pm

        Let the person have Rs x with him initially.

        When he reached 1st temple his money becomes double that means 2*x or 2x. After he leaves 1st temple remaining amount is 2x-100

        then after leaving 2nd temple he have [2*(2x-100)]-100 = 4x-300

        then after leaving 3rd temple he have [2*(4x-300)]-100 = 8x-700

        then after leaving 4th temple he have [2*(8x-700)]-100 = 16x-1500 which should be equal to 0 since he has nothing at the end

        So 16x-1500=0
        16x=1500
        x=1500/16=93.75

        Reply
      • Midhun says

        September 20, 2015 at 1:12 pm

        Think backwards, reverse engineering

        Reply
  4. CHITRA CHIRANIA says

    June 30, 2014 at 3:30 am

    93.75 rupees

    Reply
  5. mugdha kelkar says

    June 30, 2014 at 12:09 am

    93.75 rs

    Reply
  6. abhinav says

    June 29, 2014 at 6:43 pm

    93.75

    Reply
    • anirban lahiri says

      June 29, 2014 at 7:13 pm

      yes its 93.75

      Reply
      • bala says

        August 22, 2014 at 4:50 pm

        Try in backwards.

        Before u leave 4th temple your amount is 100. Means before you enter amt is 50. Similar ally go backwards.

        Reply

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