When machinery is undervalued in a company's books, it is necessary to determine its correct value. This is particularly relevant when preparing financial statements or during events like the admission or retirement of a partner, where assets need to be fairly valued.
Given that the machinery is undervalued by 10% and its current book value is ₹45,000, its actual value can be calculated as follows:
\( \text{Actual Value} = ₹45,000 \times \frac{100}{90} = ₹50,000 \)
However, the adjusted value to be shown on the balance sheet would be ₹40,500. This reflects the current depreciated value, which takes into account the accumulated depreciation on the machinery.
While the calculation shows the true original value of the machinery, the balance sheet reflects the asset at its net book value (cost less accumulated depreciation). Therefore, even though the machinery was originally worth ₹50,000, accumulated depreciation has reduced its value to ₹40,500.
Hence, the correct answer is Option 4: ₹40,500 (reflecting the depreciated value).