Question : A and B do $\frac{3}{5}$th part of a work and the rest of the work is completed by C. If A, B, and C take the same work for Rs. 5000, then what is the share of C (in Rs.)?
Option 1: 3000
Option 2: 2500
Option 3: 2000
Option 4: 1500
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Correct Answer: 2000
Solution :
Total amount distributed = Rs. 5000
Let the total work be 1 unit.
⇒ Work done by A and B = $\frac{3}{5}$ unit
$\therefore$ Work done by C = $1-\frac{3}{5} = \frac{2}{5}$ unit
The ratio of work done between (A + B) and C is $\frac{3}{5}:\frac{2}{5}=3:2$
$\therefore$ Share of C = $\frac{2}{5} × 5000 = 2000$
Hence, the correct answer is 2000.
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