Question

In a business partnership between Ram and Mohan, Ram's capital is $\frac{2}{5}th$ of the total and is invested for $\frac{2}{3}rd$ of a year. If his share of the profit is $\frac{4}{7}th$ of the total, for how long was Mohan's capital in the business?

• A. 1 year
• B. 2/3 year
• C. 1/3 year
• D. 3/4 year
• E. None

Answer 1

The correct option is C

1/3 year

Mohan's capital = 1 - 2/5 = 3/5 of the total, Mohan's profit = 1 - 4/7 = 3/7 of the total (Ram's profit)/(Mohan's profit) = (Ram's capital$\times$period)/(Mohan's capital$\times$period)
Period of Mohan's capital =$>$ 4/15$\times$5/3x = 4/7$\times$7/3 = 1/3 years.