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:

86.88 rs

Explanation:

let money he had when he started from his house be x

• at 1 temple: his money get twice =2x

he donated 100rs =2x-100

• at 2temple:2(2x-100)= 4x-200

he donated 100=4x-200-100= 4x-300

• at 3 temple:2(4x-300) = 8x-600

he donated 100 rs : 8x-600-100= 8x-700

• at 4 temple: 2( 8x-700)= 16x-1400

he donated 100 rs : 16x-1400-100= 16x-1500

• at last he has no money

= 16x-1500=

according to question

16x-1500=0

16x=1500

X=93.75

money he had =93.75 rs

#bal #answerwithquality

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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