An employer pays 3 workers X,Y and Z a total of TK. 36,600 a week. X is paid 125% of the amount Y is paid and 80% of the amount Z is paid. How much does X make a week?
Let's denote the amount Y is paid as "Y."
According to the given information:
- X is paid 125% of the amount Y is paid, which means X = 1.25Y.
- X is paid 80% of the amount Z is paid, which means X = 0.80Z.
- The total amount paid to X, Y, and Z is Tk. 36,600.
Now, we can set up two equations based on the information provided:
Equation 1: X + Y + Z = 36,600
Equation 2: X = 1.25Y (from the first piece of information)
Now, we need to express Y and Z in terms of X using Equation 2 and the fact that X is also equal to 0.80Z:
1.25Y = 0.80Z
Now, we can solve this equation for Y:
Y = (0.80Z) / 1.25
Y = 0.64Z
Now, we have expressions for Y and Z in terms of X:
Y = 0.64Z Z = 1.25Y
We can substitute these expressions into Equation 1 to solve for X:
X + 0.64Z + Z = 36,600
X + 1.64Z = 36,600
Now, we know that X = 0.80Z, so we can substitute this into the equation:
0.80Z + 1.64Z = 36,600
2.44Z = 36,600
Now, solve for Z:
Z = 36,600 / 2.44 Z = 15,000
Now that we have found the value of Z, we can find the value of X using X = 0.80Z:
X = 0.80 * 15,000 X = 12,000
So, X makes Tk. 12,000 a week.
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