Question

Three partners $A,$ $B$ and $C$ start a business. $B^{\prime }s$ capital is four times $C^{\prime }s$ capital and twice $A^{\prime }s$ capital is equal to thrice $B^{\prime }s$ capital. If the total profit is Rs. $16500$ at the end of a year, then find out $B^{\prime }s$ share in it.

• A. Rs. $4000$
• B. Rs. $5500$
• C. Rs. $6000$
• D. Rs. $6500$

Answer 1

The correct option is C Rs. $6000$

Let $C^{\prime }s$ capital $=x$
Then, $B^{\prime }s$ capital $=4x$ as $B^{\prime }s$ capital is four times $C^{\prime }s$ capital
Since twice $A^{\prime }s$ capital is equal to thrice $B^{\prime }s$ capital,
$\therefore A^{\prime }s$ capital $=6x$

$\therefore A:B:C=6x:4x:x$
$=6:4:1$
Hence, $B^{\prime }s$ share $=\frac{4}{11}\times 16500=6000$