A and B had a joint business in which A invested Rs. 60,000 in the business for one year. After 3 months B invested Rs. 80,000. At the beginning of the second year, A invested Rs. 30,000 more and B withdrew Rs. 5,000. At the end of two years, profit earned by A Rs. 35,880. What is the profit (in Rs.) earned by B, if they distributed half of the total profit equally and rest in the capital ratio?

Answer: Option C

Solution

Answer: Option C

Solution:

\begin{array}{*{20}{c}} {}&{\text{A}}&{\text{B}} \\ {{\text{CI}} \to }&{60000}&{80000} \\ {}& \times & \times \\ {{\text{Time}} \to }&{12}&9 \\ {}& + & + \\ {}&{90000}&{75000} \\ {}& \times & \times \\ {}&{12}&{12} \\ {}&{\text{A}}&{\text{B}} \\ {}&{\left( {60 \times 12} \right) + \left( {90 \times 12} \right)}&{\left( {80 \times 9} \right) + \left( {75 \times 12} \right)} \\ {}&{720 + 1080}&{720 + 900} \\ {}&{1800}&{1620} \end{array}
∴ A : B = 100 : 90
Total profit = 190

\begin{array}{*{20}{c}} {{\text{A}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{B}}} \\ {47.5\,\,\,\,\,\,\,\,\,\,\,\,\,\,47.5} \\ { + \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + } \\ {50\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,45} \\ {\overline {\,\,97.5\,\,\,\,\,\,\,\,\,\,\,\,\,92.5\,\,} } \end{array}
\frac{{\text{A}}}{{\text{B}}} = \frac{{975}}{{925}} = \frac{{39}}{{37}}\begin{array}{*{20}{c}} {\xrightarrow{{\,\,\,\,\, \times 920\,\,\,\,\,}}35880} \\ {\xrightarrow{{\,\,\,\,\, \times 920\,\,\,\,\,}}34040} \end{array}