# Bonus

Gross wage was 527 EUR including 16% bonus.

How many EUR were bonuses?

Result

b =  72.69 EUR

#### Solution:

$\ \\ a + 16/100 \ a = 527 \ \\ \ \\ 116a = 52700 \ \\ \ \\ a = \dfrac{ 13175 }{ 29 } \doteq 454.310345 \ \\ \ \\ b = 527 - a = 527 - 454.3103 = \dfrac{ 2108 }{ 29 } \doteq 72.6897= 72.69 \ \text { EUR } \ \\ \ \\ \ \\ t = a+b = 454.3103+72.6897 = 527 \ \\ q = 100 \cdot \ \dfrac{ b }{ t-b } = 100 \cdot \ \dfrac{ 72.6897 }{ 527-72.6897 } = 16 \ %$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### Following knowledge from mathematics are needed to solve this word math problem:

Need help calculate sum, simplify or multiply fractions? Try our fraction calculator. Our percentage calculator will help you quickly calculate various typical tasks with percentages. Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

1. Kilowatt-hours
If the Lewis family used 648 kilowatt-hours of electricity in 12 days, how many kilowatts hours should they use in 24 days at the same rate of usage
2. Garden
Area of a square garden is 6/4 of triangle garden with sides 56 m, 35 m, and 35 m. How many meters of fencing need to fence a square garden?
3. Forestry workers
In the forest is employed 56 laborers planting trees in nurseries. For 8 hour work day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others, if they will work 10 hours a d
4. Motion problem
From Levíc to Košíc go car at speed 81 km/h. From Košíc to Levíc go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
5. 45th birthday
This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7.11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
6. Video game
Nicole is playing a video game where each round lasts 7/12 of an hour. She has scheduled 3 3/4 hours to play the game. How many rounds can Nicole play?
7. Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It made from limestone with a density of 2.7 g/cm3. Calculate the amount of stone in tons. How many trains with 30 twenty tons wagons carry the stone?
8. The cuboid
The cuboid is filled to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
9. Coal mine
The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times?
10. Troops
The route is long 147 km and the first-day first regiment went at an average speed of 12 km/h and journey back 21 km/h. The second day went second regiment the same route at an average speed of 22 km/h there and back. Which regiment will take route longe
11. Barrel
Barrel of wine is filled by 9/14. What part of the barrel will remain filled when 1/4 of the wine we pour from the barrel?
12. Year 2020
The four-digit number divided by 2020 gives a result of 1, **. (Can not be in form 1,*0. ) Write all the options.
13. Numbers division
With what number should be divided mixed number 2 3/4 to get 11/12?
14. In center
What number lies in the center between a quarter of a fifth and a half of a third on the number axis?
15. Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem.
16. Common divisors
Find all common divisors of numbers 30 and 45.