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it wa out taht in acertain region the salary of employees was direclty proportinal to the number of hours they worked and inversly proportional to the number of leaves they took 10 leaves earned 20000 that month , how will he earn if he worked for the 300 hours that month , how much will he eran if he worked for 300 hours and took 20 leaves

Question

it wa out taht in acertain region the salary of employees was direclty proportinal to the number of hours they worked and inversly proportional to the number of leaves they took 10 leaves earned 20000 that month , how will he earn if he worked for the 300 hours that month , how much will he eran if he worked for 300 hours and took 20 leaves

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Solution

The problem states that the salary of an employee is directly proportional to the number of hours they work and inversely proportional to the number of leaves they take. This can be represented by the equation:

Salary = k * (Hours Worked / Leaves Taken)

Where k is a constant of proportionality.

From the problem, we know that when an employee took 10 leaves and worked for 200 hours, they earned 20000. We can use this information to find the value of k:

20000 = k * (200 / 10) 20000 = k * 20 k = 20000 / 20 k = 1000

Now that we know the value of k, we can use it to find out how much the employee will earn if they work for 300 hours and take 20 leaves:

Salary = 1000 * (300 / 20) Salary = 1000 * 15 Salary = 15000

So, if the employee works for 300 hours and takes 20 leaves, they will earn 15000.

This problem has been solved

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