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

Options

A. Rs. 1500
B. Rs. 3000
C. Rs. 4500
D. Rs. 6000

Explanation

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.