A Band C entered into a partner ship. A invested Rs.2,560 and B Rs.2.000. At the end of the year, they gained Rs.1,105. out of which A got Rs.320. C‘s capital was.
1). Rs.4,280
2). Rs.2,840
3). Rs.4,820
4). Rs.4,028
Let C's capital be Rs. x
Then,
$A : B : C = 2560 : 2000 : x$
$\text{A's share} $
$= \text{Rs} \text{.} \left( {1105 \times \frac{{2560}}{{4560 + x}}} \right) $
$ \therefore 1105 \times \frac{{2560}}{{4560 + x}} = 320 $
$ \Rightarrow 320x + 1459200 = 2828800 $
$ \Rightarrow 320x = 1369600 $
$ \Rightarrow x = 4280 $