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
To find out how many hours the man works in the entire week, we can use the information given in the question.
Let's break down the information step by step:
1. The man is paid Rs. 800 for 100 hours a week as a basic pay. This means that his basic pay rate is Rs. 8 per hour (800 divided by 100).
2. He also receives overtime pay, which is 50% above the basic pay. To calculate the overtime pay per hour, we need to add 50% of the basic pay to the basic pay rate. So, the overtime pay rate per hour is Rs. 8 + (50% of 8) = Rs. 8 + 4 = Rs. 12 per hour.
3. The man's total pay at the end of the week, including overtime, is Rs. 1000.
Now, let's find out how many hours the man works in the entire week.
Let:
x = number of overtime hours worked
y = number of regular hours worked
From the information given, we can form the following equation:
800 + 12x + 8y = 1000
Simplifying this equation, we get:
12x + 8y = 200 (equation 1)
Since the man is paid Rs. 8 per hour for 100 hours as basic pay, we can also form another equation:
8y = 800 (equation 2)
Now, let's solve these equations:
From equation 2, we can find that y (regular hours) is 100.
Plugging this value of y into equation 1, we get:
12x + 800 = 200
Simplifying this equation:
12x = 200 - 800
12x = -600
Dividing both sides by 12, we find:
x = -600/12
x = -50
Since the number of hours cannot be negative, we can disregard this solution.
Therefore, there is no valid solution for the number of overtime hours worked. This means that the man works only the regular 100 hours in the entire week.
So, the man works for 100 hours in the entire week.