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Amal and Bimal started a business. Amal invested Rs. 500 for 9 months and Bimal invested some money for 6 months. If they make a profit of Rs. 69 in a year and Bimal gets profit share of Rs. 46, the capital of Bimal in the business is
A. Rs. 1500
B. Rs. 3000
C. Rs. 4500
D. Rs. 6000

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Total profit Rs. 69. Profit of Bimal is Rs. 46.
`:.` Profit of Ajmal `=Rs ( 69-46)=Rs. 23`
`:.` Profit of Ajmal: Profit of Bimal `=23:46=1:2`
`:.` Capital of Ajmal : Capital of Bimal `=1:2`
`:.` Capital of Amal with respect of 1 month `=Rs. 500xx9=Rs. 4500`
`:.` Capital of Bimal with respect of 1 month `=Rs. 4500xx3/1xx2/(1+2)=Rs. 9000`
Since Bimal invested his capital for 6 months.
`:.` Capital of Bimal `=Rs. (9000+6)=Rs. 1500`
`:.` a is correct.

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