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P and O enterinto a partnership with capitals in the ratio of 3:4. At the end of 10 months P with draws. If they share profit in the ratios 5:6 for how many months O’s capital was used ?
Solution
Let Ps and Os initial investment be 3x and 4x respectively.
P's investment was for 10 months so it will be proportional to (3x)(10) = 30x
let Q's investment be for 'm' months, so its proportional investment will be (4x)(m).
So according to investment profits will be divided in the ratio 30x : 4mx = 30:4m
A/q
=> 30:4m = 5:6
=> 30/4 =
=> m= 9
Hence O invested for 9 months.
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