Question

If $8$ ($P^{\prime }$s Capital ) $=10$ ( $Q^{\prime }$s Capital ) $=12$ ( $R^{\prime }$s Capital ) , then out of the total profit of Rs $2590$ , $R$ will receive ?

Answer 1

Given:

$\Rightarrow 8p=10q=12r$

$\Rightarrow 4p=5q=6r$

from this we get,

$q=\frac{4p}{5}$

$r = \cfrac {4p}{6} = \cfrac{2p}{3}

Now the ratio becomes,

$P:Q:R=p:\frac{4p}{5}:\frac{2p}{3}=15:12:10$

Total ptofit $=2590$ Rs.

$R^{\prime }$s share $=2590\times \frac{12}{37}=70\times 12=840$ Rs.

Thus, $R^{\prime }$s share in profit $=840$ Rs.