In a partnership between Anil and Mukesh, Anil’s capital is 2/7 of t

1.	In a partnership between Anil and Mukesh, Anil’s capital is 2/7 of total and is invested for 2/3 year. If his share of the profit is 4/9 of the total, for how long is Mukesh’s capital in the business?1). 1 year2). \(\frac{1}{8}\) year3). \(\frac{1}{3}\) year4). \(\frac{1}{4}\) year
Answer» Given, Anil’s capital is 2/7^th of the total ∴ The RATIO of their capitals is 2 : 5 Given, Anil invested for 2/3 year Let Mukesh invested for ‘x’ year Given, Anil’s SHARE is 4/9^th of total profit The ratio of their profits is 4 : 5 (2 × (2/3)) : (5 × x) = 4 : 5 ⇒ (4/3)/5x = 4/5 ⇒ x = 1/3 ∴ The required time is 1/3 years.

In a partnership between Anil and Mukesh, Anil’s capital is 2/7 of total and is invested for 2/3 year. If his share of the profit is 4/9 of the total, for how long is Mukesh’s capital in the business?1). 1 year2). \(\frac{1}{8}\) year3). \(\frac{1}{3}\) year4). \(\frac{1}{4}\) year

Answer»

Given, Anil’s capital is 2/7^th of the total

∴ The RATIO of their capitals is 2 : 5

Given, Anil invested for 2/3 year

Let Mukesh invested for ‘x’ year

Given, Anil’s SHARE is 4/9^th of total profit

The ratio of their profits is 4 : 5

(2 × (2/3)) : (5 × x) = 4 : 5

⇒ (4/3)/5x = 4/5

⇒ x = 1/3

∴ The required time is 1/3 years.