After paying a commission of 7 percent of a house to an agent,the owner of the house was left with sh2325000. How much money was the agent paid?
Please give me the solution to it
0.93 x = 2325000
so, you want 0.07x = 0.07/0.93 * 2325000
To find out how much money the agent was paid, we first need to calculate the total value of the house before the commission was deducted.
Let's represent the total value of the house before the commission as "X".
The commission paid to the agent is 7 percent of X, which can be expressed as 0.07 * X.
After subtracting the commission from the total value of the house, the owner was left with sh2325000. So we can write the equation:
X - 0.07 * X = sh2325000
Simplifying the equation, we have:
0.93 * X = sh2325000
Dividing both sides of the equation by 0.93:
X = sh2325000 / 0.93
X ≈ sh2,500,000 / 0.93
X ≈ sh2,419,354.84
Therefore, the total value of the house before the commission was approximately sh2,419,354.84.
Now, to find out how much money the agent was paid, we need to calculate 7 percent of the total value of the house:
Commission = 0.07 * sh2,419,354.84
Commission ≈ sh169,354.84
So, the agent was paid approximately sh169,354.84.
To determine how much money the agent was paid, we need to reverse the calculation that resulted in the owner being left with sh2325000.
Let's start with the amount the owner was left with (sh2325000) and the commission rate (7 percent).
First, we need to find the total cost of the house before the commission was applied. We can set up an equation to represent this situation:
Total cost of the house - 7 percent of the total cost = Amount the owner was left with
Let's assign a variable to represent the total cost of the house. We'll call it "x".
The 7 percent commission can be calculated by multiplying the total cost of the house by 7 percent (or 0.07):
0.07 * x = Amount the agent was paid
Now, let's rewrite the equation using the given information:
x - 0.07 * x = sh2325000
Simplifying the equation:
0.93 * x = sh2325000
Dividing both sides of the equation by 0.93:
x = sh2325000 / 0.93
Now, we can solve for x to find the total cost of the house:
x = sh2500000 / 0.93 ≈ sh2500000 / 0.93 ≈ sh2661290.32
Therefore, the total cost of the house before the commission was sh2661290.32.
To find out how much money the agent was paid, we can substitute the total cost into the equation we defined earlier:
0.07 * sh2661290.32 = sh186280.32
So, the agent was paid sh186280.32.