Number Puzzle #83
A person has some money in his pocket. He visits 9 temples on the way, every temple has 100 steps. he puts Rs.1 on each step while going up and as well as while coming back. On each temple he offers half of the money from his pocket to god, that way his pocket gets empty after 9th temple.
How many Rs. he had initially?
Ek aadmi kuch paise leke nikalta hai, raaste me 9 mandir hai ,har mandir me 100 sidiya hai, wo har mandir ki sidiyo pe jate waq 1 ..1..rupia rakhta hai, aate waqt bhi 1..1..rupia rakhta hai,…har mandir me jeeb me bache hove aadhe paise deta hai,….is tarah…jab wo akhri mandir se utarta …to us ke paas ke sab paise khatam ho jate hai,…..sawal ye hai .ke wo kitne paise leke nikalta hai…”
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How? We should start from last temple here.
he offered Rs.100 while coming back so he must have offered Rs.100 to the god on 9th temple and offered Rs.100 while going up on the 9th temple. so he had Rs.300 before 9th temple.
similarly before 8th temple: (300+100)*2 + 100 = 900
similarly before 7th temple: (900+100)*2 + 100 = 2100
similarly before 6th temple: (2100+100)*2 + 100 = 4500, we had some error here in calculating, thanks to our readers for correcting us
similarly before 5th temple: (4500+100)*2 + 100 = 9300
similarly before 4th temple: (9300+100)*2 + 100 = 18900
similarly before 3rd temple: (18900+100)*2 + 100 = 38,100
similarly before 2nd temple: (38100+100)*2 + 100 = 76500
similarly before 1st temple: (76500+100)*2 + 100 = 153300