Question

Rajeev & Sanjeev entered into a partnership and invested Rs 36000 and Rs 40000 respectively. After 8 months, Rajeev invested an additional capital of Rs 4000. Sanjeev withdraw Rs 4000 after 9 months. At the end of the year, total profit was Rs 45800. Find the difference in the profits of each.

Answer 1

Rajeev's capital $=36000\times 8+(36000+4000)\times 4$

$=288000+(40000\times 4)$

$=288000+160000$

$=\text{Rs.}448000$

Sanjeev's capital $=40000\times 9+(40000-4000)\times 3$

$=360000+(36000\times 3)$

$=360000+108000$

$=\text{Rs.}468000$

Profit sharing ratio $=448000:468000=112:117$

Rajeev's profit $=\frac{112}{112+117}\times 45800=\text{Rs.}22400$

Sanjeev's profit $=\frac{117}{112+117}\times 45800=\text{Rs.}23400$