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

Rs 93.75

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.