Paul earned

Paul earned 300 Kč in one hour, Václav 1/3 more than Paul. Václav worked 60 hours, which is 1/3 fewer hours than Paul worked.
How many percents less earned Paul an hour than Václav?

How many hours did Paul more than Václav?

How much did Paul earn more than Václav?

Result

a =  25 %
b =  30 h
c =  12.5 %

Solution:

p=300 Kc/h v=p+p/3=300+300/3=400 Kc/h  h2=60 h h2=h1h1/3 h1=h2/(113)=60/(113)=90 h  a=100 vpv=100 400300400=25=25p=300 \ \text{Kc/h} \ \\ v=p + p/3=300 + 300/3=400 \ \text{Kc/h} \ \\ \ \\ h_{ 2 }=60 \ \text{h} \ \\ h_{ 2 }=h_{ 1 }-h_{ 1 }/3 \ \\ h_{ 1 }=h_{ 2 }/(1-\dfrac{ 1 }{ 3 } )=60/(1-\dfrac{ 1 }{ 3 } )=90 \ \text{h} \ \\ \ \\ a=100 \cdot \ \dfrac{ v-p }{ v }=100 \cdot \ \dfrac{ 400-300 }{ 400 }=25=25 \\%
b=h1h2=9060=30 hb=h_{ 1 }-h_{ 2 }=90-60=30 \ \text{h}
z1=p h1=300 90=27000 Kc z2=v h2=400 60=24000 Kc  c=100 z1z2z2=100 270002400024000=252=12.5=12.5z_{ 1 }=p \cdot \ h_{ 1 }=300 \cdot \ 90=27000 \ \text{Kc} \ \\ z_{ 2 }=v \cdot \ h_{ 2 }=400 \cdot \ 60=24000 \ \text{Kc} \ \\ \ \\ c=100 \cdot \ \dfrac{ z_{ 1 }-z_{ 2 } }{ z_{ 2 } }=100 \cdot \ \dfrac{ 27000-24000 }{ 24000 }=\dfrac{ 25 }{ 2 }=12.5=12.5 \\%



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!





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

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
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?
Do you want to convert time units like minutes to seconds?

Next similar math problems:

  1. Profit gain
    percent_12 If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
  2. Fix + percentages
    car1_6 Mrs. Vargas is a car sales agent who earns Php.5,850 monthly plus a 4% commision on all her sales. During a month, she sold a car worth Php.740,000. How much is her total earnings?
  3. Girls
    playground_2 The children's competition was attended by 63 girls, which is 30% of all children's participants. How many children attended this competition?
  4. The tank
    pipe2_4 The tank had 9 inflows to be filled in 21 days. After 9 days, 3 trips out. How many days did the remaining 6 tributaries fill the tank?
  5. Our house
    malovka_6 Our house would paint four painters in 14 days. How long could it paint five painters? How long will it take if two other painters will come to help after 5 days?
  6. Commission
    sale_2 Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for 293.00$ how much money does Daniel make in commission?
  7. Summerjob
    tree2 The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
  8. Digging companies
    companies Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days and the company D for 24 days. Work began together companies C and D, but after three days joined them other two companies. How long took to dig a pit?
  9. The Chemistry test
    test The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
  10. Frameworks is bad
    space Calculate how many percent will increase the length of an HTML document, if any ASCII character unnecessarily encoded as hexadecimal HTML entity composed of six characters (ampersand, grid #, x, two hex digits and the semicolon). Ie. space as:  
  11. Competitors
    ski_2 In the first round of slalom fell 15% of all competitors and in the second round another 10 racers. Together, 40% of all competitors fell. What was the total number of competitors?
  12. Washing mashine
    pracka_2 Family buy a washing machine for 350e. Cash paid 280e. What percentage of the total price must still pay the washer?
  13. Percentages
    permutations_3_3 52 is what percent of 93?
  14. Price inflation
    percent_20 This year the average wage grew by 4.5%. Prices rose by 2%. How much did the real wage increase in the given year?
  15. Art school
    skola_1 Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
  16. Two accounts
    bank A banker divided $5000 between 2 accounts, one paying 10% annual interest and the second paying 8% annual interest. Express the amount invested in the 10% account in the terms of the amount invested in the 8% account.
  17. The ball
    ball1_4 The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?