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???

Answer 1

Answer:

93.75

Step-by-step explanation:

temple 1

93.75 becomes 187.5

donates 100

remain 87.5

temple 2

87.5 becomes 175

donates 100

remain 75

temple 3

75 becomes 150

donates 100

remain 50

temple 4

50 becomes 100

donates 100

remain 0

Answer 2

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Let the person start with Rs. x

◾1st temple money gets doubled =2x

But he offers Rs.100 to the temple

Remaining = Rs.(2x -100)

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◾2nd temple money gets doubled =(2x-100 )2 = Rs. (4x - 200)

But he offers Rs.100 to the temple

Remaining = Rs.(4x -200)

Rs 100 = Rs.(4x -300)

-------------------------------

◾3rd temple money gets doubled =(4x-300 )2 = Rs. (8x - 600)

But he offers Rs.100 to the temple

Remaining = Rs. (8x - 600)

Rs 100 = Rs. (8x - 700)

-------------------------------

◾4th temple money gets doubled =(8x - 600 )2 = Rs. (16x - 1400)

But he offers Rs.100 to the temple

Remaining = Rs. (16x - 1400)

Rs 100 = Rs. (16x - 1500)

-------------------------------

Now it said his pocket gets empty he return from 4th temple so

Rs. (16x - 1500) = 0

$: {\implies{\rm{x = \frac{1500}{16}}}}$

${\boxed{: {\implies{\rm{x = 93.75 }}}}}$

${\purple{\fbox{\pink {\LARGE {\boxed{: {\implies{\rm{ Rs.= 93.75 }}}}}}}}}$

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