Cheko's salary is 60% more than his colleague Raj's salary. If their salary were increased by 60%, their total salary would be $4160. Find the salary of Cheko before the increase.
Question
Cheko's salary is 60% more than his colleague Raj's salary. If their salary were increased by 60%, their total salary would be $4160. Find the salary of Cheko before the increase.
Solution 1
Let's denote Raj's salary as R and Cheko's salary as C.
From the problem, we know that Cheko's salary is 60% more than Raj's salary. So we can write this as:
C = R + 0.6R = 1.6R
We also know that if both their salaries were increased by 60%, their total salary would be $4160. So we can write this as:
1.6R * 1.6 + 1.6R * 1.6 = 4160 2.56R + 2.56R = 4160 5.12R = 4160
Now, we can solve for R:
R = 4160 / 5.12 = 812.5
Now that we know Raj's salary, we can find Cheko's original salary:
C = 1.6 * 812.5 = 1300
So, Cheko's salary before the increase was $1300.
Solution 2
Let's denote Raj's salary as R and Cheko's salary as C.
From the problem, we know that Cheko's salary is 60% more than Raj's salary. So we can write this as:
C = R + 0.6R = 1.6R
We also know that if their salaries were increased by 60%, their total salary would be $4160. So we can write this as:
1.6R * 1.6 + 1.6R * 1.6 = 4160 2.56R + 2.56R = 4160 5.12R = 4160
Now, we can solve for R:
R = 4160 / 5.12 = $812.5
Now that we know Raj's salary, we can find Cheko's salary:
C = 1.6R = 1.6 * 812.5 = $1300
So, Cheko's salary before the increase was $1300.
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