Profit growth

The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in the year 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?

Result

p =  11.399 %

Solution:

q=(1+25100) (1+40100) (120100) (1+10100)=7750=1.54  p1=100 (q1)=100 (1.541)=54 %  q2=q1/4=1.5441.114  p=100 (q21)=100 (1.1141)11.3987 %11.399%q=(1+\dfrac{ 25 }{ 100 } ) \cdot \ (1+\dfrac{ 40 }{ 100 } ) \cdot \ (1-\dfrac{ 20 }{ 100 } ) \cdot \ (1+\dfrac{ 10 }{ 100 } )=\dfrac{ 77 }{ 50 }=1.54 \ \\ \ \\ p_{1}=100 \cdot \ (q-1)=100 \cdot \ (1.54-1)=54 \ \% \ \\ \ \\ q_{2}=q^{ 1/4 }=\sqrt[4]{ 1.54 } \doteq 1.114 \ \\ \ \\ p=100 \cdot \ (q_{2}-1)=100 \cdot \ (1.114-1) \doteq 11.3987 \ \% \doteq 11.399 \%



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
Looking for a statistical calculator?
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.

Next similar math problems:

  1. The city
    city_1 At the end of 2010 the city had 248000 residents. The population increased by 2.5% each year. What is the population at the end of 2013?
  2. Investment
    penize_49 1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
  3. Computer
    pc The computer was purchased 10000,-. Each year, the price of a computer depreciates always the same percentage of the previous year. After four years, the value of the computer is reduced to 1300,- How many percent was depreciated price of the computer each
  4. The crime
    crime The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025.
  5. The city 2
    kingkong Today lives 167000 citizens in city. How many citizens can we expect in 11 years if their annual increase is 1%?
  6. Radioactive material
    radium A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
  7. Five members
    pst3.JPG Write first 5 members geometric sequence and determine whether it is increasing or decreasing: a1 = 3 q = -2
  8. A perineum
    sequence_geo_9 A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
  9. Six terms
    sequence_geo_3 Find the first six terms of the sequence a1 = -3, an = 2 * an-1
  10. Geometric progression 2
    exp_x There is geometric sequence with a1=5.7 and quotient q=-2.5. Calculate a17.
  11. Tenth member
    10 Calculate the tenth member of geometric sequence when given: a1=1/2 and q=2
  12. Geometric progression 4
    square_rot_1 8,4√2,4,2√2
  13. GP - 8 items
    fn Determine the first eight members of a geometric progression if a9=512, q=2
  14. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  15. Geometric sequence 4
    Koch_Snowflake_Triangles It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
  16. Calculation
    pocty How much is sum of square root of six and the square root of 225?
  17. Researchers
    house Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families