Ratio of the profits of Kamal and Kiran

$=25000×12:60000×8=25×12:60×8 =5×3:12×2=5:4×2=5:8$

Let the total profit $=x$

Then Kamal received $\dfrac{10x}{100}=\dfrac{x}{10}$ as commission for managing the business.

Remaining profit $=x-\dfrac{x}{10}=\dfrac{9x}{10}$ which is shared in the ratio $5:8$

Total amount received by Kamal $=\dfrac{x}{10}+\dfrac{9x}{10}×\dfrac{5}{13}$

$\Rightarrow \dfrac{x}{10}+\dfrac{9x}{10}×\dfrac{5}{13}=58000$

$ \Rightarrow x + 9x×\dfrac{5}{13}=580000$

$ \Rightarrow x\left(1+\dfrac{45}{13}\right)=580000$

$\Rightarrow x×\dfrac{58}{13}=580000$

$\Rightarrow x×\dfrac{1}{13}=10000$

$ \Rightarrow x=130000$

Kirans share = $130000-58000=72000$