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

To solve the problem, we need to determine how many total hours the man worked, based on his earnings and the pay structure for both regular and overtime hours. 

1. First, let's calculate the total earnings over four weeks: Rs. 15,760.
2. He works 8 hours per day for 6 days a week. This means he is working 48 regular hours per week.
   • Total regular hours for four weeks = \(48 \times 4 = 192\) hours.
3. The earnings from these regular hours are:
   • Regular earnings = Rs. 80 per hour × 192 hours = Rs. 15,360.
4. Given total earnings are Rs. 15,760. Therefore, the additional earnings from overtime hours account for:
   • Overtime earnings = Total earnings - Regular earnings = Rs. 15,760 - Rs. 15,360 = Rs. 400.
5. Since each overtime hour earns him Rs. 100:
   • Overtime hours worked = \(\frac{400}{100} = 4\) hours.
6. Finally, the total hours he works in four weeks, combining both regular and overtime, is:
   • Total hours = Regular hours + Overtime hours = 192 + 4 = 196 hours.

This matches the correct option: 196 hours.