Question

show that the differential equation df=exp(y)dx+[x exp(y)+2y] dy is an exact differential equation​

Answer 1

Answer:

Average profits of a firm during the last few years are ₹80,000 and the normal rate of return in a similar business is 10%. If the goodwill of the firm is ₹1,00,000 at 4 years' purchase of super profit, find the capital employed by the firm.

Marks:3

Expert's answer

Goodwill of firm = Super Profit x Number of years purchase

₹1,00,000 = Super Profit x 4

Super Profit = ₹1,00,000 /4 = ₹25,000

Super Profit = Average Profit – Normal Profit

₹25,000 = ₹80,000 – Normal Profit

Normal Profit = ₹55,000

Normal Profit = Capital Employed x Normal Rate of Return

₹55,000 = Capital Employed x 10/100

Capital employed = ₹55,000 x 100/10 = ₹5,50,000