Bonus

Gross wage was 1323 USD including 25% bonus.

How many USD were bonuses?

Correct result:

b =  264.6 USD

Solution:

$$\begin{gathered} a+25\mathrm{/}100a=1323 \\ a+25\mathrm{/}100\cdot a=1323 \\ 125a=132300 \\ a={\displaystyle \frac{5292}{5}}=1058.4 \\ b=1323-a=1323-1058.4={\displaystyle \frac{1323}{5}}=264.6={\displaystyle \frac{1323}{5}}\text{ USD}=264.6\text{ USD } \\ t=a+b=1058.4+264.6=1323 \\ q=100\cdot {\displaystyle \frac{b}{t-b}}=100\cdot {\displaystyle \frac{264.6}{1323-264.6}}=25\mathrm{\%} \end{gathered}$$

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