Question

$A,B$ and $C$ enter into partnership $A$ invests some money at the beginning , $B$ invests double the amount after $6$ months and $C$ invests thrice the amount after $8$ months If the annual profit be $Rs.27000C^{\prime }s$ share is

• A. $Rs.8625$
• B. $Rs.9000$
• C. $Rs.10800$
• D. $Rs.11250$

Answer 1

The correct option is B $Rs.9000$

Let $A$ invested $Rs.x$ for $12$ months
Then according to the question $B$ invested $Rs.2x$ for $6$ months
And $C$ invested $Rs.3x$ for $4$ months
Then Ratio of their capital$=12\times x:2x\times 6:3x\times 4$
$=12x:12x:12x$
$=1:1:1$
$C^{\prime }s$ share of profit $=\frac{1}{3}\times 27000=Rs.9000.$