Question

Anju and Brijesh enters into a partnership with their capitals in the ratio of 5:9. At the end of 8 months, Anju withdraws her capital. If they receive their share of profit in the ratio of 4:9, find out how long Brijesh's capital was invested in the business ?

• A. 8 months
• B. 10 months
• C. 12 months
• D. 5 months
• E. None of the above

Answer 1

The correct option is B 10 months

Let, Brijesh's capital be invested for x months
The capital ratio of Anju to Brijesh is 5 : 9.
Let the capitals of Anju and Brijesh be Rs 5y and Rs 9y.
We have,
$C_1\times t_1=5y\times 8=40y$
and, $C_2\times t_2=9y\times x=9yx$
$\therefore \frac{Anj{u}^{\prime }sshareofprofit}{Brijes{h}^{\prime }sshareofprofit}=\frac{C_1\times t_1}{C_2\times t_2}$
$\Rightarrow \frac{4}{9}=\frac{40y}{9yx}\Rightarrow x=\frac{40\times 9}{4\times 9}=10months$