Question

Using the data in the previous questions, what will be the total earning of Bankatlal at the end of sixteen weeks?

• A. Rs.7800
• B. Rs.7320
• C. Rs.8400
• D. Rs.9600

Hint:

Weeks 1 to 8 use the old rates; weeks 9 to 16 use the new manager's rates. Add the four monthly totals.

Answer 1

The Correct Option is A

Setting up:
A week has 6 days and a month has 4 weeks. From the table: week 1 (work 5 h, rest 2 h per day), week 5 (work 7, rest 3), week 9 (work 6, rest 4), week 13 (work 8, rest 0). In the next week the pattern is exactly opposite (work and rest swapped), and the pattern repeats in the 3rd and 4th weeks of each month. He is paid only for working hours; the rate is Rs. 20 per hour in weeks when he works more than he rests and half of it, Rs. 10 per hour, in weeks when he rests more than he works.

Step 1: Months 1 and 2 (old rates):
Month 1 \(= 1440\). Month 2 (weeks 5 to 8; work 7 rest 3, then work 3 rest 7): weeks 5 and 7 give \(42 \times 20 = 840\) each, weeks 6 and 8 give \(18 \times 10 = 180\) each, so \(1680 + 360 = 2040\).

Step 2: Month 3 (new rates from week 9):
\(2400\) (found in the previous question).

Step 3: Month 4 (weeks 13 to 16, new rates):
Weeks 13 and 15: work 8, rest 0, so \(48 \times 25 = 1200\) each. Weeks 14 and 16: work 0, rest 8 (48 rest hours), so a deduction of \(48 \times 5 = 240\) each. Total \(= 2400 - 480 = 1920\).

Step 4: Total for 16 weeks:
\(1440 + 2040 + 2400 + 1920 = 7800\).

Final Answer:
The correct option is (1): Rs.7800