How Much Money He had Initially ?

Puzzle:

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. Now the question is how much money he had initially ?

Solution:

Let’s assume, person starts with Rs x
After 1st temple visit, he is left with Rs (2x-100)
After 2nd temple visit, he is left with Rs (4x-300)
After 3rd temple visit, he is left with Rs (8x-700)
After 4th temple visit, he is left with Rs (16x-1500), which is zero (as he is left with empty pockets)
Hence he started of with x i.e. Rs 1500/16 i.e. Rs 93.75
Answer: Rs 93.75

4 Thoughts on “How Much Money He had Initially ?

  1. Send me daily this type of questions it’s usefull

  2. Srichakradhar Reddy Nagireddy on February 8, 2016 at 4:12 pm said:

    Just cross checking…
    2 * 93.75 = 187.5
    2 * 87.5 = 175
    2 * 75 = 150
    2 * 50 = 100!
    awesome!

  3. kiran kumar patil on May 10, 2016 at 4:08 pm said:

    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

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