Puzzle | Find the Initial Money

Rama started on a quest of visiting temples, with few coins in his pockets.

• As soon as he visits any temple, the money in his pocket gets doubled and on his way out, he donates Rs. 100 to each temple.
• He visits 4 temples on his quest. After visiting the last temple, his pocket is empty of all the money, so how much money he had initially.

Check if you were right - full answer with solution below.

Solution:

Let's assume Rama began his quest with Rs. x.

1st Temple:

As soon as he enters the temple, his money is doubled to 2x. On his way out he donates Rs. 100. Therefore, he is left with Rs. Rs. (2x - 100).

2nd Temple:

As soon as he enters the temple, his money is doubled to 2(2x - 100). On his way out he donates another Rs. 100 and he is left out with Rs. (4x - 300)

3rd Temple:

As soon as he enters the temple, his money is doubled to 2(4x - 300). On his way out he donates another Rs. 100 and he is left with Rs. (8x - 700)

4th Temple:

As soon as he enters the temple, his money is doubled to 2(8x - 700). On his way out he donates another Rs. 100 and he is left with Rs. (16x - 1500). According to the question, after his last visit, he completely runs out of money.

Therefore,
=> 16x - 1500 = 0;
=> x = 1500/16;
=> x = 93.75

Rama had started his quest with Rs 93.75 in his pocket.