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The total capital in a business is Rs. 5...

The total capital in a business is Rs. 50000. If A invests Rs. 4000 more than B and B invests Rs. 5000 more than C, then the profit becomes Rs. 35000. Then A will get profit-

A

Rs. 8400

B

Rs. 4900

C

Rs. 13600

D

Rs. 14700

Text Solution

Verified by Experts

Let capital of C be Rs. `x`
`:.` Capital of B is `Rs. (x+5000)` and capital of A is Rs. `(x+9000)`
`:.x+x+5000+x+9000=50000`
`implies3x+14000=50000`
`implies3x=36000impliesx=36000/3=12000`
`:.` The capitals of A,B, and care Rs. `(12000+9000)=Rs. 21000, Rs. (12000+5000)=rs. 17000`
and Rs. 12000 respectively.
`:.` Ratio of the capitals of A,B and C `=21000:17000:12000`
`=21:17:12`
`:.` In Rs. 35000, the profit of `A=Rs. 35000xx(21/(21+17+12))`
`=Rs. 35000xx21/50=Rs. 14700`
`:.` d is correct.
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