Question

A man is paid Rs. 80 per regular working hour and Rs. 100 per hour overtime. He works only 8 hours per day and 6 days a week. If he earns Rs. 15,760 in four weeks, then for how many hours did he work?

• A. 192 hours
• B. 194 hours
• C. 195 hours
• D. 196 hours
• E. 198 hours

Answer 1

The Correct Option is D

The correct answer is option (D):

196 hours

Here's how to solve this problem step-by-step to arrive at the correct answer:

1. Calculate the man's regular weekly earnings: He works 8 hours a day for 6 days a week, so he works 8 * 6 = 48 regular hours per week. His regular pay is Rs. 80 per hour, so his regular weekly earnings are 48 * 80 = Rs. 3840.

2. Calculate the man's total earnings in regular hours for four weeks: In four weeks, he would earn 3840 * 4 = Rs. 15360 if he only worked regular hours.

3. Determine the amount earned from overtime: The problem states he earned Rs. 15,760 in total and from step 2, we know the man would have earned Rs. 15,360 if only working regular hours. So, the overtime earnings are Rs. 15,760 - Rs. 15,360 = Rs. 400.

4. Calculate the overtime hours: His overtime pay rate is Rs. 100 per hour. To earn Rs. 400 in overtime, he worked 400 / 100 = 4 hours of overtime.

5. Calculate the total hours worked: He worked 48 regular hours per week and 4 hours of overtime in four weeks. So, the man worked (48 * 4) + 4 = 192 + 4 = 196 hours.

Therefore, the man worked 196 hours.