A salesman is paid a monthly salary of sh. 6000 and a commission of 5 % for sales above sh. 50000. In a certain month, the salesman's total earnings were sh. 15000.what was the total sales for the month?
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If his sales were x (thousand), then
6 + 0.05(x-50) = 15
x = 230
so he had sales of 230,000
6+0.05(x_50)=15] x=230 100_50 =50 230=230,000
The total sales for the month was KSH 230,000.
Salary =6000
Commussion=5/100 of above 50000
Total earnings
5/100×35000
=1750
I'm sorry, but your calculation is incorrect. The commission is calculated on sales above Sh. 50,000, not Sh. 35,000. Also, we need to find the total sales for the month, not the commission earned.
Let's assume the salesman made sales of x amount (in thousands). Then, the commission earned would be calculated as follows:
Commission = 5% of (x - 50)
Total earnings = Salary + Commission
We know the salesman's total earnings were Sh. 15,000. So, we can write:
Sh. 15,000 = Sh. 6,000 + 5% of (x - 50)
Sh. 9,000 = 5% of (x - 50)
Dividing by 5% on both sides:
Sh. 180,000 = x - 50
Therefore, the total sales for the month were Sh. 180,000 + Sh. 50,000 = Sh. 230,000.
230000
Yes, that's correct. The total sales for the month were KSH 230,000.
To find the total sales for the month, we need to calculate the commission earned by the salesman and subtract it from the total earnings to find the monthly salary.
Let's start by finding the commission earned by the salesman. The commission is 5% for sales above sh. 50000. Since the salesman's total earnings were sh. 15000, we can subtract the monthly salary from the total earnings to get the commission.
Commission = Total Earnings - Monthly Salary
Commission = sh. 15000 - sh. 6000
Commission = sh. 9000
Now, we can calculate the sales that generated this commission. Since the commission is 5% of the sales above sh. 50000, we can set up the equation:
Commission = 5% of (Total Sales - sh. 50000)
Plugging in the values, we have:
sh. 9000 = 0.05 * (Total Sales - sh. 50000)
Next, we can solve for the Total Sales. Let's simplify the equation:
sh. 9000 = 0.05 * Total Sales - 0.05 * sh. 50000
sh. 9000 + 0.05 * sh. 50000 = 0.05 * Total Sales
sh. 9000 + sh. 2500 = 0.05 * Total Sales
sh. 11500 = 0.05 * Total Sales
Now, divide both sides of the equation by 0.05 to solve for Total Sales:
Total Sales = sh. 11500 / 0.05
Total Sales = sh. 230000
So, the total sales for the month were sh. 230000.