X and Y enter into a partnership for a year. X invests Rs. 6000, and Y invests Rs. 8000. After 4 months, they admit Z, who invests Rs. 9000. If Y withdraws his contribution after 6 months, how would they share a profit of Rs 1000 at the end of the year?
| Question | X and Y enter into a partnership for a year. X invests Rs. 6000, and Y invests Rs. 8000. After 4 months, they admit Z, who invests Rs. 9000. If Y withdraws his contribution after 6 months, how would they share a profit of Rs 1000 at the end of the year? | |
| Type | multiple_choice | |
| Option | 350, 300, 350 | incorrect |
| Option | 375, 250, 375 | correct |
| Option | 400, 300, 300 | incorrect |
| Option | 100, 600,300 | incorrect |
| Solution | X’s capital be C1 = 6000 Y’s capital be C2 = 8000 Z’s capital be C3 = 9000 X’s time be T1 = 12 months Y’s time be T2 = 6 months Z’s time be T3 = 8 months Profit = 1000 The profit will be divided in the ratio:- (C1 * T1): (C2 * T2): (C3 * T3) (6000*12): (8000*6): (9000*8) i.e., 72000: 48000: 72000 Or, 72:48:72 Divide the whole equation by 24. The ratio will be 3: 2: 3 Sum of the ratios will be 3+2+3= 8 Apply formula: X’s share = (X’s ratio/ sum of all three ratios)* total profit Hence, X’s share is (3/8) * 10000 = 375 X’s and Z’s share are equal in ratio, so Z’s share =375 Y’s share = 1000 – (A + B)’s share = 1000 – 750 = 250 | |