Comprehension
Bankatlal works x hours a day and rests y hours a day. This pattern continues for 1 week, with an exactly opposite pattern next week, and so on for four weeks. Every fifth week he has a different pattern. When he works longer than he rests, his wage per hour is twice what he earns per hour when he rests longer than he works.
The following are his daily working hours for the weeks numbered 1 to 13.
Question: 1
If Bankatlala is paid Rs. 20 per working hour in the 1st} week, what is his salary for the 1st} month?
If Bankatlala is paid Rs. 20 per working hour in the 1st} week, what is his salary for the 1st} month?
Show Hint
When patterns alternate weekly, calculate each week separately and sum, rather than multiplying one week’s wage by four.
Updated On: Aug 5, 2025
- Rs.1760
- Rs.1440
- Rs.1320
- Rs.1680
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The Correct Option is D
Solution and Explanation
We are told:
- In the 1st} week: Rest = 2 hours, Work = 5 hours per day.
- A week consists of 6 days.
- Wage per working hour (when work hours > rest hours) = Rs. 20/hour.
Step 1: Daily earnings in 1st week}
Work hours/day = 5 hours.
Rate = Rs. 20/hour.
Daily earning = $5 \times 20 = Rs.100$.
Step 2: Weekly earnings in 1st week}
Weekly earning = $100 \times 6$ days = Rs. 600.
Step 3: Pattern for first month (4 weeks)
The problem says Bankatlala alternates patterns each week: - Week 1: 5 work hrs/day (more work than rest, Rs.20/hour).
- Week 2: Opposite pattern $\Rightarrow$ Rest = 5 hrs/day, Work = 2 hrs/day (work hours < rest hours) — wage is half (Rs.10/hour).
- Week 3: Same as Week 1 (5 work hrs/day, Rs.20/hour).
- Week 4: Same as Week 2 (2 work hrs/day, Rs.10/hour).
Step 4: Calculate earnings for each week
Week 1: $5 \times 20 \times 6 = Rs.600$.
Week 2: $2 \times 10 \times 6 = Rs.120$.
Week 3: Same as Week 1 = Rs.600.
Week 4: Same as Week 2 = Rs.120.
Step 5: Monthly total
Total = $600 + 120 + 600 + 120 = Rs.1440$. Note: Here we see that Rs.1440 matches (B) not (D). But the question might be interpreted differently if they assume same pattern all 4 weeks. If we take Week 1 pattern for all 4 weeks: Rs.600/week $\times 4 = Rs.2400$, which doesn’t match any option. Hence based on alternating logic, correct is Rs.1440. Thus, correct option should be (B) Rs.1440.
Checking incorrect options:
(A) Rs.1760 — higher than possible from alternating pattern.
(C) Rs.1320 — too low compared to calculated Rs.1440.
(D) Rs.1680 — possible if wages slightly different, but not matching the given data.
\(\boxed{\text{Correct Answer: (B) Rs.1440}}\)
- In the 1st} week: Rest = 2 hours, Work = 5 hours per day.
- A week consists of 6 days.
- Wage per working hour (when work hours > rest hours) = Rs. 20/hour.
Step 1: Daily earnings in 1st week}
Work hours/day = 5 hours.
Rate = Rs. 20/hour.
Daily earning = $5 \times 20 = Rs.100$.
Step 2: Weekly earnings in 1st week}
Weekly earning = $100 \times 6$ days = Rs. 600.
Step 3: Pattern for first month (4 weeks)
The problem says Bankatlala alternates patterns each week: - Week 1: 5 work hrs/day (more work than rest, Rs.20/hour).
- Week 2: Opposite pattern $\Rightarrow$ Rest = 5 hrs/day, Work = 2 hrs/day (work hours < rest hours) — wage is half (Rs.10/hour).
- Week 3: Same as Week 1 (5 work hrs/day, Rs.20/hour).
- Week 4: Same as Week 2 (2 work hrs/day, Rs.10/hour).
Step 4: Calculate earnings for each week
Week 1: $5 \times 20 \times 6 = Rs.600$.
Week 2: $2 \times 10 \times 6 = Rs.120$.
Week 3: Same as Week 1 = Rs.600.
Week 4: Same as Week 2 = Rs.120.
Step 5: Monthly total
Total = $600 + 120 + 600 + 120 = Rs.1440$. Note: Here we see that Rs.1440 matches (B) not (D). But the question might be interpreted differently if they assume same pattern all 4 weeks. If we take Week 1 pattern for all 4 weeks: Rs.600/week $\times 4 = Rs.2400$, which doesn’t match any option. Hence based on alternating logic, correct is Rs.1440. Thus, correct option should be (B) Rs.1440.
Checking incorrect options:
(A) Rs.1760 — higher than possible from alternating pattern.
(C) Rs.1320 — too low compared to calculated Rs.1440.
(D) Rs.1680 — possible if wages slightly different, but not matching the given data.
\(\boxed{\text{Correct Answer: (B) Rs.1440}}\)
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Question: 2
Referring to the data given in Q.187, Bankatlala’s average monthly salary at the end of the first four months will be:
Referring to the data given in Q.187, Bankatlala’s average monthly salary at the end of the first four months will be:
Show Hint
When asked for average monthly salary, first find each month’s total separately before averaging.
Updated On: Aug 5, 2025
- Rs.1780
- Rs.2040
- Rs.1830
- Rs.1680
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The Correct Option is C
Solution and Explanation
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 = $\frac{1440 + 2040 + 1920 + 1920}{4} = \frac{7320}{4} = Rs.1830$.
\(\boxed{\text{Correct Answer: (C) Rs.1830}}\)
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 = $\frac{1440 + 2040 + 1920 + 1920}{4} = \frac{7320}{4} = Rs.1830$.
\(\boxed{\text{Correct Answer: (C) Rs.1830}}\)
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Question: 3
The new manager Khushaldas stipulated that Rs.5 be deducted for every hour of rest and Rs.25 be paid per hour starting 9th} week. What will be the change in Bankatlala’s salary for the 3rd} month? (Hourly deductions are constant for all weeks starting 9th} week)
The new manager Khushaldas stipulated that Rs.5 be deducted for every hour of rest and Rs.25 be paid per hour starting 9th} week. What will be the change in Bankatlala’s salary for the 3rd} month? (Hourly deductions are constant for all weeks starting 9th} week)
Show Hint
Always calculate rest deductions separately from work earnings, then find the net for each week before summing for the month.
Updated On: Aug 5, 2025
- Rs.540
- Rs.480
- Rs.240
- Rs.120
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The Correct Option is A
Solution and Explanation
We take Month 3 (Weeks 9–12) from earlier calculation:
Week 9: Rest = 4 hrs/day, Work = 6 hrs/day.
Week 10: Rest = 6 hrs/day, Work = 4 hrs/day.
Week 11: Same as Week 9, Week 12: Same as Week 10.
New payment rate = Rs.25/hour (work) and Rs.5 deduction/hour (rest).
Week 9: Work pay = $6 \times 25 \times 6 = Rs.900$
Rest deduction = $4 \times 5 \times 6 = Rs.120$
Net = Rs.900 - Rs.120 = Rs.780
Week 10: Work pay = $4 \times 25 \times 6 = Rs.600$
Rest deduction = $6 \times 5 \times 6 = Rs.180$
Net = Rs.600 - Rs.180 = Rs.420
Weeks 11 and 12 repeat these values.
Month 3 new total = $780 + 420 + 780 + 420 = Rs.2400$.
Earlier Month 3 (from Q.188) = Rs.1920.
Increase = Rs.2400 - Rs.1920 = Rs.480.
Thus, correct answer = Rs.480, not Rs.540.
\(\boxed{\text{Correct Answer: (B) Rs.480}}\)
Week 9: Rest = 4 hrs/day, Work = 6 hrs/day.
Week 10: Rest = 6 hrs/day, Work = 4 hrs/day.
Week 11: Same as Week 9, Week 12: Same as Week 10.
New payment rate = Rs.25/hour (work) and Rs.5 deduction/hour (rest).
Week 9: Work pay = $6 \times 25 \times 6 = Rs.900$
Rest deduction = $4 \times 5 \times 6 = Rs.120$
Net = Rs.900 - Rs.120 = Rs.780
Week 10: Work pay = $4 \times 25 \times 6 = Rs.600$
Rest deduction = $6 \times 5 \times 6 = Rs.180$
Net = Rs.600 - Rs.180 = Rs.420
Weeks 11 and 12 repeat these values.
Month 3 new total = $780 + 420 + 780 + 420 = Rs.2400$.
Earlier Month 3 (from Q.188) = Rs.1920.
Increase = Rs.2400 - Rs.1920 = Rs.480.
Thus, correct answer = Rs.480, not Rs.540.
\(\boxed{\text{Correct Answer: (B) Rs.480}}\)
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Question: 4
Using the data in the previous questions, what will be the total earning of Bankatlala at the end of sixteen weeks?
Using the data in the previous questions, what will be the total earning of Bankatlala at the end of sixteen weeks?
Show Hint
When the total for all weeks is already computed in parts for earlier questions, just sum those results instead of recalculating from scratch.
Updated On: Aug 5, 2025
- Rs.7320
- Rs.7800
- Rs.8400
- Rs.9600
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The Correct Option is A
Solution and Explanation
From Q.188, total for 4 months (Weeks 1–16) = Month1 + Month2 + Month3 + Month4 = Rs.1440 + Rs.2040 + Rs.1920 + Rs.1920 = Rs.7320.
Thus, the total earning is Rs.7320.
Checking incorrect options:
(B) Rs.7800 — higher than actual total, would require extra income somewhere.
(C) Rs.8400 — even higher, unrealistic.
(D) Rs.9600 — not possible from given data.
\(\boxed{\text{Correct Answer: (A) Rs.7320}}\)
Thus, the total earning is Rs.7320.
Checking incorrect options:
(B) Rs.7800 — higher than actual total, would require extra income somewhere.
(C) Rs.8400 — even higher, unrealistic.
(D) Rs.9600 — not possible from given data.
\(\boxed{\text{Correct Answer: (A) Rs.7320}}\)
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