X and Y enter into a partnership with capital in the ratio 3 : 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in Rs. lakhs) of X in the annual profit of Rs. 6.84 lakhs?

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} x&:&y \\ {\left( {3 \times 5 + 4.5 \times 7} \right)}&:&{\left( {5 \times 5 + 2 \times 7} \right)} \\ {15 + 31.5}&:&{39} \\ {46.5}&:&{39} \\ {93}&:&{79} \end{array}\]
171 units → 6.84
1 unit → 0.04
93 units → 93 × 0.04 = 3.72