The value of amachine depricites at the rate of 10% per annum. if its present value is ₹ 10000. what will be its value after 2 years?

Answer

To find the value of a machine after 2 years of depreciation at a rate of 10% per annum, we can follow these steps:

### Step 1: Understand the depreciation rate
The machine depreciates at a rate of 10% per annum. This means that each year, the value of the machine will decrease by 10% of its current value.

### Step 2: Calculate the depreciation for the first year
- Present value of the machine = ₹10,000
- Depreciation for the first year = 10% of ₹10,000
\[ \text{Depreciation} = \frac{10}{100} \times 10,000 = ₹1,000 \]
- Value after the first year = Present value - Depreciation
\[ \text{Value after 1 year} = 10,000 - 1,000 = ₹9,000 \]

### Step 3: Calculate the depreciation for the second year
- Now, the present value for the second year is ₹9,000.
- Depreciation for the second year = 10% of ₹9,000
\[ \text{Depreciation} = \frac{10}{100} \times 9,000 = ₹900 \]
- Value after the second year = Value after first year - Depreciation
\[ \text{Value after 2 years} = 9,000 - 900 = ₹8,100 \]

### Final Answer
The value of the machine after 2 years will be ₹8,100.

---