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

10,880

Profit = Amount of Investment × Time of Invest

Investment at the end of the year of X = 40000 × 6 + 60000 × 6 = 240000 + 360000

⇒ 600000

Investment at the end of the year of Y = 38000 × 6 + 30000 × 6 = 228000 + 180000

⇒ 408000

Investment at the end of the year of Z = 30000 × 6 + 45000 × 6 = 180000 + 270000

⇒ 450000

Ratio of profit share ratio = 600000 : 408000 : 450000

⇒ 100 : 68 : 75

Share of Y = 38880 × \(\frac{68}{243}\)

⇒ y = 10880