Calculate the Normal Rate of Return if normal profit is ₹30,000 Assets ₹5,30,000 and liabilities ₹30,000, while calculating the value of goodwill of the firm at the time of admission of a partner.

The correct option is 6%.

To calculate the Normal Rate of Return, we can use the formula for Normal Profit:
$$\text{Normal Profit}=\text{Capital Employed}\times \frac{\text{Normal Rate of Return}}{100}$$

First, we need to calculate the Capital Employed by the firm. Capital Employed is calculated as total assets minus external liabilities:
$$\text{Capital Employed}=\text{Total Assets}-\text{Liabilities}$$

Given:
Total Assets = ₹5,30,000
Liabilities = ₹30,000

Substituting the values:
$$\text{Capital Employed}=5,30,000-30,000=\text{₹5,00,000}$$

Now, we can rearrange the Normal Profit formula to solve for the Normal Rate of Return:
$$\text{Normal Rate of Return}=\frac{\text{Normal Profit}}{\text{Capital Employed}}\times 100$$

Given that the Normal Profit is ₹30,000, we substitute the values into the formula:
$$\text{Normal Rate of Return}=\frac{30,000}{5,\mathrm{00,000}}\times 100$$

Calculating the value:
$$\text{Normal Rate of Return}=0.06\times 100=6\%$$

Therefore, the Normal Rate of Return is 6%.