Respuesta :
Answer:
Rs 93.75
Step-by-step explanation:
Solution:
A man starts from his house with some money to visit four temples.
1. As soon as he enters temple 1 his money gets doubled.
Let he had money at first = [tex]x[/tex]
After enter the 1st temple his money = [tex]2x[/tex]
He donated = Rs 100
Money left after donation at 1st temple = [tex]2x-100[/tex]
2. At temple 2 again his money is doubled and he donates Rs 100
He had at 2nd temple = [tex]2(2x-100) =4x-200[/tex]
Donated = Rs 100
Money left after donation at 2nd temple = [tex]4x-200-100=4x-300[/tex]
3. His money is doubled again at temple 3 and he donates Rs 100.
He had at 3rd temple = [tex]2(4x-300)=8x-600[/tex]
Donated = Rs 100
Money left after donation at 3rd temple = [tex]8x-600-100=8x-700[/tex]
4. At temple 4 again his money gets doubled. He donates 100 rs. again and returns home empty handed.
He had at 4th temple = [tex]2(8x-700)= 16x-1400[/tex]
Donated = Rs 100
Money left after donation at 4th temple = [tex]16x-1400-100 = 16x-1500[/tex]
As he returned empty hand or with zero money, equation will be:-
[tex]16x-1500=0\\ \\ Adding\ both\ sides\ by\ 1500\\ \\ 16x=1500\\ \\ Dividing\ both\ sides\ by\ 16\\ \\ x=Rs \ 93.75[/tex]
Thus, he had Rs 93.75 when he started from his house.
