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:-

Click here to See SolutionWhen 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)

akshay singh says

93.85

atul suri says

93.75

pkpbhilai says

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

sujoy Bhattacharya says

How did u find it

Radhika says

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

Midhun says

Think backwards, reverse engineering

CHITRA CHIRANIA says

93.75 rupees

mugdha kelkar says

93.75 rs

abhinav says

93.75

anirban lahiri says

yes its 93.75

bala says

Try in backwards.

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