A man paid Rs. 800 for 100 hours a week as a basic pay and over time is paid 50% above the basic pay. If he gets Rs. 1000 as a salary at the end of the week including the over time, then how many hours does he work in the entire week??

Answer is 700/3 hours

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To find out how many hours the man works in the entire week, you can set up an equation based on the information given.

Let's denote the number of hours he works in a week as "x."

According to the given information, the man receives a basic pay of Rs. 800 for 100 hours of work per week. Therefore, his hourly rate is Rs. 800/100 = Rs. 8 per hour.

In addition to the basic pay, he also receives overtime pay at a rate of 50% above the basic pay. This means that his overtime rate is 1.5 times his basic pay, which is 1.5 * Rs. 8 = Rs. 12 per hour.

The total amount he receives at the end of the week, including overtime, is Rs. 1000.

Using this information, we can set up the equation:

Basic pay for 100 hours + Overtime pay for (x - 100) hours = Rs. 1000

Rs. 8 * 100 + Rs. 12 * (x - 100) = Rs. 1000

Simplifying the equation:

800 + 12x - 1200 = 1000

12x - 400 = 1000

12x = 1400

x = 1400/12 = 700/6 = 350/3

Therefore, the man works for a total of 350/3 hours in the entire week, which is equivalent to 700/3 hours.