Three partners x, y and z started their business by investing Rs. 40,000, Rs. 38,000 and Rs. 30,000, respectively. After 6 months, x and z made additional investments of Rs. 20,000 and Rs. 15,000 respectively, whereas y withdrew Rs. 8,000. Find the share of y (in Rs.) in the total profit of Rs. 38,880 made at the end of the year.

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {\text{x}}&{}&{\text{y}}&{}&{\text{z}} \\ {40,000 \times 6 + 60,000 \times 6}&:&{38,000 \times 6 + 30,000 \times 6}&:&{30,000 \times 6 + 45,000 \times 6} \\ {40 + 60}&:&{38 + 30}&:&{30 + 45} \\ {100}&:&{68}&:&{75} \\ {100}& + &{68}& + &{75} \end{array}\]
243 units → 38,880
1 unit → 160
Share of y, 68 units → 160 × 68 = Rs. 10,880