To calculate goodwill using the super profit method, follow these
steps: 1. Calculate the capital employed: \[ {Capital Employed} = {Assets} - {Liabilities} = rupee 18,00,000 - rupee 3,00,000 = rupee 15,00,000 \]
2. Calculate the normal profit: \[ {Normal Profit} = {Capital Employed} \times {Normal Rate of Profit} \] \[ {Normal Profit} = rupee 15,00,000 \times \frac{10}{100} = rupee 1,50,000 \]
3. Calculate the super profit: \[ {Super Profit} = {Average Profit} - {Normal Profit} \] \[ {Super Profit} = rupee 2,00,000 - rupee 1,50,000 = rupee 50,000 \]
4. Calculate the goodwill: \[ {Goodwill} = {Super Profit} \times {Number of Years of Purchase} \] \[ {Goodwill} = rupee 50,000 \times 3 = rupee 1,50,000 \]
Final Answer Goodwill of the firm is rupee 1,50,000.

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?