Money Money!
A person goes to a temple with some amount in his pocket, when he gets there, his amount doubled. He gives to a beggar from his doubled amount.
Then he goes to the second temple, there the remaining of his amount doubles again. He again to a beggar. He goes to two more temples and does the same thing. After giving to the beggar in the fourth temple he is left with no money.
So, how much money did he have in his pocket initially before arrived to the first temple?
The answer is 15.
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1 solution
Let x be the initial amount he had in his pocket.
Therefore according to the question, His amount after leaving the first temple is 2 x − 1 6 ,
His amount after leaving the second temple is ( 2 x − 1 6 ) ∗ 2 − 1 6 = 4 x − 4 8
His amount after leaving the third temple is ( 4 x − 4 8 ) ∗ 2 − 1 6 = 8 x − 1 1 2
His amount at the last temple is ( 8 x − 1 1 2 ) ∗ 2 − 1 6 = 0 [Since at last he is left with no money]
Therefore, 1 6 x − 2 4 0 = 0
1 6 x = 2 4 0
x = 1 6 2 4 0
x = 1 5
Therefore, the Amount in his pocket initially before arriving the temple was 1 5