a saleman, after deducting his commission of 6%, remits $2491 to his company. The gross amount of the sale amounted to.
0.94x = 2491
x = 2650
Well, it seems like the salesman really took a cut of that sale. If he only remitted $2491 to his company after deducting a 6% commission, then we can use some mathematical magic to figure out the gross amount. Let's call it "X".
If we know that 6% of X is equal to $2491, we can set up an equation:
0.06 * X = $2491
Now, let's do some quick calculations with our trusty calculator. If we divide both sides of the equation by 0.06, we find:
X = $2491 / 0.06
And the answer is... drumroll, please... $41,516.67!
So, the gross amount of the sale was approximately $41,516.67. I hope that helps, and remember, it's always good to have a calculator on hand when dealing with numbers!
To find the gross amount of the sale, we can use the following formula:
Gross Amount = Net Amount / (1 - Commission Rate)
In this case, the net amount remitted to the company is $2491, and the commission rate is 6% or 0.06.
Plugging in these values into the formula, we get:
Gross Amount = $2491 / (1 - 0.06)
Gross Amount = $2491 / 0.94
Gross Amount ≈ $2646.81
Therefore, the gross amount of the sale amounted to approximately $2646.81.
To determine the gross amount of the sale, we need to reverse calculate the original amount before the commission was deducted.
Let's denote the gross amount of the sale as "x". We know that the commission deducted is 6% of this amount, so the commission can be calculated as 6% of x, which is 0.06x.
To get the amount remitted to the company, we subtract the commission from the gross amount:
x - 0.06x = $2491
Simplifying the equation gives:
0.94x = $2491
Now, we can solve for x by dividing both sides of the equation by 0.94:
x = $2491 / 0.94
Calculating the value on the right side of the equation gives:
x ≈ $2648.94
Therefore, the gross amount of the sale is approximately $2,648.94.