Question

Aman takes some money and goes to 5 temples and as he enters each temple his money doubles, he donates Rs 200 at each temple. At the end of the last temple he has no money left. How much money did he carry at first ?

Answer 1

Let initial money he have = x

After going to first temple money doubles and donates rs 200
Therefore Money he has left. => 2x - 200
After going to second temple money doubles and donates rs 200
Therefore Money left => 2(2x - 200) - 200
=> 4x - 600
After going to Third temple money doubles and donates rs 200
Therefore Money left => 2(4x -600) - 200
=> 8x - 1400
After going to Fourth temple money doubles and donates rs 200
Therefore Money left =>2(8x - 1400) - 200
=> 16x - 3000
After going to Fifth temple money doubles and donates rs 200 and his balance becomes 0
Therefore Money left is zero => 2(16x - 3000) - 200 = 0
32x - 6200 = 0
x = 6200/32
x = 193.75
Therefore Money he initialy had = Rs. 193.75