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. again and returns home empty handed.
How much money he had when he started from his house???
This is a challenge for all the masterminds...

Answer 1

$\huge\underline\blue{Solution!!...}$

Let the amount the man initially had be x...

When he reached the first temple, the money doubled...

So, the amount now is 2x...

He donates 100...

So, balance amount = 2x – 100

This again doubles at 2nd temple...

So, he has 2 (2x - 100) => 4x – 200

He gives 100...

So, he has 4x – 200 – 100 = 4x – 300

$\green{\underline\textbf{Same process at Temple 3....}}$

It doubles and he has 2(4x - 300) = 8x – 600

He gives 100...

So, he has 8x – 700

$\green{\underline\textbf{Again doubling at Temple 4...}}$

Thus, he has 2(8x - 700) = 16x – 1400

He gives 100 and has nothing. Thus 16x – 1400 – 100 = 0

• => 16x – 1500 = 0

• => 16x = 1500

$\red{\underline\textbf{therefore...}}$

• x = 1500/16

• = 93.75

Thus, he started from home with Rs.93.75...

_______________________

Thanks!!...❣️✌️

Answer 2

He initially had 93.75 rupees with him.

Initially, let us say, he had 'x' rupees.

He visited 4 temples overall.

Before visiting every temple, his money got doubled. In every temple, he offered 100 rupees.

At first temple:

The money got doubled = 2x

He offered 100 from the money he had = 2x - 100

At second temple:

Again, the money got doubled = 2(2x-100) = 4x - 200

Offered 100 at second temple = 4x - 200 - 100 = 4x - 300

At third temple:

The money got doubled = 2(4x-300) = 8x - 600

He offered 100 from the money he has = 8x - 600 - 100 = 8x - 700

At fourth temple:

Again, the money got doubled = 2(8x-700) = 16x - 1400

Offered 100 at fourth temple = 16x - 1400 - 100 = 16x - 1500

It is said that, after offering at fourth temple, he has no money left with him.

So, the equation becomes   16x - 1500 = 0

                                               16x = 1500

                                                x = 1500/16

                                                x = 93.75

Therefore, he initially had 93.75 rupees with him.

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