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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.

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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.

This problem has been solved

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.

This problem has been solved

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