# Bonus

Gross wage was 527 EUR including 16% bonus.

How many EUR were bonuses?

Correct result:

b =  72.69 EUR

#### Solution:

$\ \\ a + 16/100 \ a=527 \ \\ \ \\ a + 16/100 \cdot \ a=527 \ \\ \ \\ 116a=52700 \ \\ \ \\ a=\dfrac{ 13175 }{ 29 } \doteq 454.310345b=527 - a \doteq 527 - 454.3103 \doteq \dfrac{ 2108 }{ 29 } \doteq 72.6897 \ \\ \ \\ \ \\ t=a+b=454.3103+72.6897=527 \ \\ b=q=100 \cdot \ \dfrac{ b }{ t-b }=100 \cdot \ \dfrac{ 72.6897 }{ 527-72.6897 }=16 \ \%=72.69 \ \text{EUR}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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