Question

$A,B,$ and $C$ subscribe Rs. $50000$ for a business. $A$ subscribes Rs. $4000$ more than $B$ and $B$ subscribes Rs. $5000$ more than $C.$ Out of a total profit of Rs. $35000$, $A$ receives

• A. Rs. $15700$
• B. Rs. $16700$
• C. Rs. $14700$
• D. Rs. $13700$

Answer 1

The correct option is C Rs. $14700$

Suppose $A,B,$ and $C$ subscribe Rs. $x,y$ and $z$ respectively.
Then, $y=z+5000$ and
$x=(z+5000)+4000=z+9000$
Since $x+y+z=50000$
$\Rightarrow z+9000+z+5000+z=50000$
$\Rightarrow z=12000$
Now, $x:y:z=21000:17000:12000$
$\Rightarrow x:y:z=21:17:12$
$\therefore$ $A^{\prime }s$ share
$=35000\times \frac{21}{50}=14700$
Hence, $A^{\prime }s$ share is Rs. $14700.$