# Profitable company

Three businessman decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000 and R25 000, respectively. The profit made by the company in the first year is R600 000.

(1) Express the ratio of the initial investments in simplest form.

Result

r = (Correct answer is: 2/3:1) p1 =  200000
p2 =  300000
p3 =  100000

#### Solution:

$a=50000 \ \\ b=75000 \ \\ c=25000 \ \\ \ \\ 50000=2^4 \cdot 5^5 \ \\ 75000=2^3 \cdot 3 \cdot 5^5 \ \\ 25000=2^3 \cdot 5^5 \ \\ \text{GCD}(50000, 75000, 25000)=2^3 \cdot 5^5=25000 \ \\ \ \\ k=GCD(a,b,c)=GCD(50000,75000,25000)=25000 \ \\ \ \\ a_{0}=a/k=50000/25000=2 \ \\ b_{0}=b/k=75000/25000=3 \ \\ c_{0}=c/k=25000/25000=1 \ \\ \ \\ r=2:3:1$
$p=600000 \ \\ p_{1}=p \cdot \ \dfrac{ 2 }{ 2+3+1 }=600000 \cdot \ \dfrac{ 2 }{ 2+3+1 }=200000=2.000000\cdot 10^{ 5 }$
$p_{2}=p \cdot \ \dfrac{ 3 }{ 2+3+1 }=600000 \cdot \ \dfrac{ 3 }{ 2+3+1 }=300000=3.000000\cdot 10^{ 5 }$
$p_{3}=p \cdot \ \dfrac{ 1 }{ 2+3+1 }=600000 \cdot \ \dfrac{ 1 }{ 2+3+1 }=100000=1.000000\cdot 10^{ 5 }$ 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...): Be the first to comment! Tips to related online calculators
Do you want to calculate greatest common divisor two or more numbers?
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.

## Next similar math problems:

1. Boats Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
2. Year 2018 The product of the three positive numbers is 2018. What are the numbers?
3. Triangles Ivo wants to draw all the triangles whose two sides of which have a length of 4 cm and 9 cm and the length of the third side is expressed in whole centimeters. How many triangles does he have?
4. Endless lego set The endless lego set contains only 6, 9, 20 kilograms blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And of course, they wrote down how much the building weighed. The
5. Collection of stamps Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?
6. Closest natural number Find the closest natural number to 4.456 to 44.56 and to 445.6.
7. 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.
8. Dozen What is the product of 26 and 5? Write the answer in Arabic numeral. Add up the digits. How many of this is in a dozen? Divide #114 by this
9. The temperature The temperature at 1:00 was 10 F. Between 1:00 and 2:00, the temperature dropped 15F. Between 2:00 and 3:00, the temperature rose 3F. What is the temperature at 3:00?
10. Progression -12, 60, -300,1500 need next 2 numbers of pattern
11. My father My father has a big farm. 6/8 of it were planted with mango trees, 1/2 of the remainder are guava trees and the rest 10 trees are santol trees. What is the number of all trees?
12. Expression 6 Evaluate expression: -6-2(4-8)-9
13. Candy and boxes We have some number of candy and empty boxes. When we put candies in boxes of ten, there will be 2 candies and 8 empty boxes left, when of eight, there will be 6 candies and 3 boxes left. How many candy and empty boxes left when we put candies in boxes of
14. School Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
15. Together If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee)
16. Two numbers 6 Fill two natural numbers a, b: 7 + blank- blank = 5
17. Two unknown numbers One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.