Question

Referring to the data given in Q.187, Bankatlala’s average monthly salary at the end of the first four months will be:

• A. Rs.1780
• B. Rs.2040
• C. Rs.1830
• D. Rs.1680

Hint:

When asked for average monthly salary, first find each month’s total separately before averaging.

Answer 1

The Correct Option is C

We use month-by-month wage patterns from given data for weeks 1, 5, 9, 13.
Month 1 (Weeks 1–4): Already computed in Q.187 = Rs.1440.
Month 2 (Weeks 5–8): Week 5 pattern — Rest = 3, Work = 7 (more work than rest), so Rs.20/hour. Opposite pattern next week: Rest = 7, Work = 3 (less work than rest), Rs.10/hour. Repeat in Weeks 7 and 8.
Week 5: $7 \times 20 \times 6 = Rs.840$
Week 6: $3 \times 10 \times 6 = Rs.180$
Week 7: Rs.840, Week 8: Rs.180.
Total = $840 + 180 + 840 + 180 = Rs.2040$.
Month 3 (Weeks 9–12): Week 9: Work = 6 hrs/day, Rs.20/hour (more work than rest). Opposite pattern: Work = 4 hrs/day, Rs.10/hour.
Week 9: $6 \times 20 \times 6 = Rs.720$
Week 10: $4 \times 10 \times 6 = Rs.240$
Week 11: Rs.720, Week 12: Rs.240.
Total = $720 + 240 + 720 + 240 = Rs.1920$.
Month 4 (Weeks 13–16): Week 13: Work = 8 hrs/day, Rs.20/hour. Opposite: Work = 0 hrs/day, Rs.0/hour.
Week 13: $8 \times 20 \times 6 = Rs.960$
Week 14: $0 \times 20 \times 6 = Rs.0$
Week 15: Rs.960, Week 16: Rs.0.
Total = Rs.1920.
Step: Average monthly salary = $\frac{1440 + 2040 + 1920 + 1920}{4} = \frac{7320}{4} = Rs.1830$.
\(\boxed{\text{Correct Answer: (C) Rs.1830}}\)