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The present value of annuity of 1 rupees for 5 years at 10% per annum interest is rupees 3.78, super profit is 19600 find out the goodwill?
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The present value of annuity of 1 rupees for 5 years at 10% per annum ...
Calculation of Goodwill

Given:
Present value of annuity of 1 rupee for 5 years at 10% per annum interest = Rs. 3.78
Super profit = Rs. 19600

Step 1: Determination of Normal Profit

Normal profit is the profit earned by a business in the normal course of operations. It is calculated by multiplying the capital employed by the normal rate of return.

Let us assume that the capital employed by the business is Rs. X.
Normal rate of return = 10%
Normal profit = X * 10%

Step 2: Calculation of Super Profit

Super profit is the amount of profit earned by a business over and above the normal profit.

Super profit = Actual profit - Normal profit
Given, Super profit = Rs. 19600

Step 3: Calculation of Goodwill

Goodwill is the value of the reputation and customer base of a business. It is calculated as the number of years' purchase of the super profit.

Number of years' purchase = Present value of annuity / Super profit
Number of years' purchase = Rs. 3.78 / Rs. 19600

Goodwill = Number of years' purchase * Super profit
Goodwill = 0.000193 * Rs. 19600
Goodwill = Rs. 3.77 (approx.)

Therefore, the goodwill of the business is Rs. 3.77 (approx.).
Community Answer
The present value of annuity of 1 rupees for 5 years at 10% per annum ...
20000*3.78
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