industrial capital increase each year in half and spends USD 11,000 a year. to take stock at the end of the third year found that its capital had doubled what was your initial capital?

To find the initial capital, we need to work backwards from the end of the third year.

Let's assume the initial capital is denoted by 'C'.

At the end of the first year, the industrial capital would be C + (C/2) = 1.5C.

At the end of the second year, the industrial capital would be 1.5C + (1.5C/2) = 1.75C.

And at the end of the third year, the industrial capital would be 1.75C + (1.75C/2) = 2.625C.

We are given that at the end of the third year, the capital has doubled, so we can set up the following equation:

2.625C = 2C

Dividing both sides of the equation by 2, we get:

1.3125C = C

Cancelling out 'C' from both sides, we get:

1.3125 = 1

Hence, we have reached a contradiction.

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