Calculate $$ x $$ in the following ratio: $$ 2: 4=5,4: 3 $$ Write the ratio in its simplest form: $$ 2 \mathrm{~m}: 8 \mathrm{~cm}: 40 \mathrm{~mm} $$ AB and Peter bought a house for R575000 as an investment. AB payed R 245000 and Peter payed the rest. They sold the house 5 years later and made a profit of R234 500 . What is the percentage profit that they made? Wher f they share the profit in the same ratio as their respective investments, how nuch profit will Peter receive?

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UpStudy AI · Accepted Answer

To calculate the percentage profit made by AB and Peter, we first need to find the total profit they made from selling the house.

Given:
- Total investment = R575,000
- AB's investment = R245,000
- Peter's investment = R575,000 - R245,000 = R330,000
- Total profit = R234,500

1. Calculate the percentage profit made by AB and Peter:
   - Percentage profit = (Total profit / Total investment) * 100

2. Calculate the profit shared by Peter:
   - Profit shared by Peter = (Peter's investment / Total investment) * Total profit

Now, let's calculate the percentage profit and the profit shared by Peter.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{234500}{575000}ight)	imes 100$$
- step1: Reduce the fraction:
  $$\frac{469}{1150}	imes 100$$
- step2: Reduce the numbers:
  $$\frac{469}{23}	imes 2$$
- step3: Multiply:
  $$\frac{469	imes 2}{23}$$
- step4: Multiply:
  $$\frac{938}{23}$$
The percentage profit made by AB and Peter is approximately 40.78%.

Now, let's calculate the profit shared by Peter.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{330000}{575000}ight)	imes 234500$$
- step1: Reduce the fraction:
  $$\frac{66}{115}	imes 234500$$
- step2: Reduce the numbers:
  $$\frac{66}{23}	imes 46900$$
- step3: Multiply:
  $$\frac{66	imes 46900}{23}$$
- step4: Multiply:
  $$\frac{3095400}{23}$$
The profit shared by Peter is approximately R134,582.61.
AB and Peter made a 40.78% profit. Peter will receive approximately R134,582.61 from the profit.

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