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Nivedita and Uma jointly started a busin...

Nivedita and Uma jointly started a business with capital Rs. 3000 and Rs. 5000 respectively. After 6 months, Nivedita inveted Rs. 4000 more in the business but uma has withdrawn Rs. 1000 after 6 months from the business. If the profit in 1 year be Rs. 6175, then find the profit of each of them.

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Capital of Nivedita with respect of 1 month `=Rs. (3000xx6+(3000+4000)xx6)`
`=Rs. (18000+7000xx6)`
`=Rs. (18000+42000)`
`=Rs. 60000`
Again capital of Uma with respect of 1 month `=Rs. (5000xx6+(500-1000)x6)`
`=Rs. (30000+4000xx6)`
`=Rs. (30000+24000)`
`=Rs. 54000`
So the ratio of capitals of Nivedita and Uma `=60000:54000=10:9`
Math `(x)-6`
`:.` The part of Nivedita `=10/(10+9)=10/19` and the part of Uma `=9/19`
`:.` From Rs. 6175 NIvedita will get `Rs. 6175xx10/19=Rs. 3250` and Uma will get Rs. `6175xx9/19=Rs. 2925`
Hence the profit of Nivedita is Rs. 3250 and the profit of Uma is Rs. 2925.
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