P and Q starts a business with investment of ₹ 28000 and ₹ 42000 respectively. P invests for 8 months and Q invests for one year.If the total profit at the end of the year is ₹ 21125, then whatis the share of P?
Given, Investment of P = Rs.28000
Duration of P = 8 months
Hence, Total investment amount of P $$= Rs.28000\times8$$
Investment of Q = Rs.42000
Duration of Q = 12 months
Hence, Total investment amount of Q $$= Rs.42000\times12$$
Ratio of profits = Ratio of investments = $$28000\times8 : 42000\times12 = 4 : 9$$
Given, Total profit = Rs.21125
Therefore, Profit of A = $$\dfrac{4}{13}\times21125 = Rs.6500$$
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