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9. A and B commenced a business and agreed to share future profits as per the effective capitalratio. A investa 15,000 and at the end of 8 months 5,000 more. But B invests 7,500 and atthe end of 4 months 12,500 more but withdraws* 7,500 at the end of 6 months more. At theAns. I 2.600 each) end of the year the profit they got was 4,725. Find their shares.Ans. (A2,620, B = 2,205]ham future profits as per effective capital |
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Answer» Solution :- → A = 15000 for 8 months + 20000 for 4 months . → B = 7500 for 4 months + (12500 + 7500) for 2 months + (12500 + 7500 - 7500) for 6 months . So, → Ratio of Profit of A and B = (15000 * 8 + 20000 * 4) : (7500 * 4 + 20000 * 2 + 12500 * 6) = (120000 + 80000) : (30000 + 40000 + 75000) = 200000 : 145000 = 200 : 145 = 40 : 29 . Now, Let us ASSUME that, share of profit of A and B was 40X and 29x . then, → TOTAL share = 40x + 29x = 69x . therefore, → 69x = 4725(given) → x = 4725/69 = 68.47 Hence, → Profit share of A = 40x = 40 * 68.47 = Rs.2738.8 . → Profit share of B = 29x = 29 * 68.47 = Rs.1985.6 . Learn more :- what is the sum (in Rs) which when divided among A, B, C, D in the proportion 2:3:5:8 provides Rs 8420 less to D the wha... two vessels x and y of capacities one and two litres respectively and completely filled with mixtureof two chemicals a a... |
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