An algebra problem by Harsh Palan
Algebra
Level
2
One person has some money in his pocket, He visits four temple on the way. As soon as he enters each of the temple, his money gets double automatically. 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?
95.6
93.75
92
93.25
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1 solution
Let Harsh palan had Rs. x at starting After first temple he will have double of money he had from god's blessing and -100 i.e. 2x - 100 After second temple (we will repeat the procedure) ==> 2(2x - 100) - 100 = 4x - 300 After third temple (we will repeat the procedure) ==> 2(4x - 300) - 100 = 8x - 700 After fourth temple (we will repeat the procedure) ==> 2(8x - 700) - 100 = 16x - 1500 It is given that he had left with nothing ===> 16x - 1500 = 0 ===> 16x = 1500 x=93.5