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.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 10,880
Profit = Amount of investment × Time of invest
⇒ Investment at the end of year X = 40000 × 6 + 60000 × 6 = 240000 + 360000 = 600000
⇒ Investment at the end of year Y = 38000 × 6 + 30000 × 6 = 228000 + 180000 = 408000
⇒ Investment at the end of year Z = 30000 × 6 + 45000 × 6 = 180000 + 270000 = 450000
⇒ Ratio of profit share ratio = 600000 : 408000 : 450000 = 100 : 68 : 75
⇒ Share of Y = 38880 × = 10880.