There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple.
If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?
Choose the correct choice from the following answers.
A) 143700 B) 146900 C) 376190 D) 248117 E) 127690
B   146900   Whenever you face such type of questions, it is wise to begin from the last thing. Here in this question the last thing will be the 9th temple. He climbed down 100 steps and thus you know, he had Rs. 100 before beginning climbing down. Thus, he must have offered Rs. 100 to the god in that temple too (he offered half of the total amount). Also, he must have dropped Rs. 100 while climbing the steps of the ninth temple. This means that he had Rs. 300 before he begand climbing the steps of the ninth temple.   Now, we will calculate in the similar manner for each of the temples backwards.   Before the devotee climbed the eight temple: (300+100)*2 + 100= 
<gadget id="calculator">(300+100)*2 + 100</gadget>
<output>900</output>
900   Before the devotee climbed the seventh temple:   (900+100)*2 + 100= 
<gadget id="calculator">  (900+100)*2 + 100</gadget>
<output>2_100</output>
2100   Before the devotee climbed the Sixth temple: (2100+100)*2 + 100= 4300   Before the devotee climbed the fifth temple: (4300+100)*2 + 100= 
<gadget id="calculator">(4300+100)*2 + 100</gadget>
<output>8_900</output>
8900   Before the devotee climbed the fourth temple:  (8900+100)*2 + 100= 
<gadget id="calculator"> (8900+100)*2 + 100</gadget>
<output>18_100</output>
18100   Before the devotee climbed the third temple: (18100+100)*2 + 100= 36,500   Before the devotee climbed the second temple:  (36500+100)*2 + 100= 
<gadget id="calculator"> (36500+100)*2 + 100</gadget>
<output>73_300</output>
73300   Before the devotee climbed the first temple: (73300+100)*2 + 100= 
<gadget id="calculator">(73300+100)*2 + 100</gadget>
<output>146_900</output>
146900   Therefore, the devotee had Rs. 146900 with him initially.
<result>B</result>
There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple.
If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?