The value of a car is depreciating at 5% per year and is 3,15,875 afer 2 years . What was its original price?

Answer

To find the original price of the car before depreciation, we can follow these steps:

### Step 1: Understand the depreciation
The car depreciates at a rate of 5% per year. After 2 years, the value of the car is given as ₹3,15,875.

### Step 2: Calculate the depreciation for 1 year
To find the depreciation for one year, we can use the formula:
\[ \text{Depreciation for 1 year} = \text{Current value} \times \frac{\text{Depreciation rate}}{100} \]
Substituting the values:
\[ \text{Depreciation for 1 year} = 3,15,875 \times \frac{5}{100} = 3,15,875 \times 0.05 = 15,793.75 \]

### Step 3: Calculate the total depreciation for 2 years
Since the depreciation is constant each year, the total depreciation over 2 years is:
\[ \text{Total depreciation for 2 years} = 2 \times \text{Depreciation for 1 year} = 2 \times 15,793.75 = 31,587.50 \]

### Step 4: Calculate the original price
The original price of the car can be calculated by adding the total depreciation to the current value:
\[ \text{Original price} = \text{Current value} + \text{Total depreciation} \]
Substituting the values:
\[ \text{Original price} = 3,15,875 + 31,587.50 = 3,47,462.50 \]

### Final Answer
The original price of the car was approximately ₹3,47,462.50.

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