Question
A, B and C enter into a partnership with capitals in the
ratio 2/3 : 3/5 : 5/6 . After 8 months, A increases his share of capital by 25%. If at the end of the year, the total profit earned is Rs 5,820, then the share of C in the profit is:Solution
Capitals ratio of A, B and C = 2/3: 3/5: 5/6 = (2 x 30)/3: (3 x 30)/5: (5 x 30) /6 = 20:18:25 Capitals ratio of A, B, and C after the end of the year, (20 x 8 + 20 × 5/4 x 4): 18 x 12:25 x 12 = (160+100): 216: 300 = 260: 216: 300 Capitals ratio of A, B, and C after the end of the year = 260x: 216x: 300x = 65x: 54x: 75x According to the question 65x + 54x + 75x = 5820 194x = 5820 x = 5820/194 = 30 Share of C = 75 x 30 = Rs. 2250
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