A manufacturer reckons that the value of a machine, which costs him Rs. 15625, will depreciate each year by 20%. Find the estimated value at the end of 5 years.

Explanation

To find the estimated value of the machine at the end of 5 years, given that it depreciates by 20% each year, we can follow these steps:

### Step 1: Understand the depreciation
The machine's value decreases by 20% each year. This means that at the end of each year, the value of the machine is 80% of its value at the beginning of that year.

### Step 2: Calculate the value after the first year
Let the initial cost of the machine be \( X = 15625 \).
After the first year, the value of the machine will be:
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