Question

IAS question - ❓❓❓❓❓❓A man starts frm his house with some money to visit four temples.1. As soon as he enters temple 1 his money gets doubled. He donates 100 rs nd moves.2. At temple 2 again his money is doubled and he donates 100 rs.3. His money is doubled again at temple 3 and he donates 100 rs.4. At temple 4 again his money gets doubled. He donates 100 rs. againandreturns home empty handed.How much money he had when he started from his housea?This is a challenge for all the masterminds...lets see who cracks .

Answer 1

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 = $x$

After enter the 1st temple his money = $2x$

He donated = Rs 100

Money left after donation at 1st temple = $2x-100$

2. At temple 2 again his money is doubled and he donates Rs 100

He had at 2nd temple = $2(2x-100) =4x-200$

Donated = Rs 100

Money left after donation at 2nd temple = $4x-200-100=4x-300$

3. His money is doubled again at temple 3 and he donates Rs 100.

He had at 3rd temple = $2(4x-300)=8x-600$

Donated = Rs 100

Money left after donation at 3rd temple = $8x-600-100=8x-700$

4. At temple 4 again his money gets doubled. He donates 100 rs. again and returns home empty handed.

He had at 4th temple = $2(8x-700)= 16x-1400$

Donated = Rs 100

Money left after donation at 4th temple = $16x-1400-100 = 16x-1500$

As he returned empty hand or with zero money, equation will be:-

$16x-1500=0\\ \\ Adding\ both\ sides\ by\ 1500\\ \\ 16x=1500\\ \\ Dividing\ both\ sides\ by\ 16\\ \\ x=Rs \ 93.75$

Thus, he had Rs 93.75 when he started from his house.