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A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B does it alone and 3rd day C does it alone. After that the cycle is repeated till the work is finished. They get Rs 240 for this job. If the wages are divided in proportion to the work each had done. Find the amount A will get?
- a)14
- b)24
- c)34
- d)36
Correct answer is 'B'. Can you explain this answer?
Verified Answer
A can do a piece of work in 90 days, B in 40 days and C in 12 days. Th...
Work done by A in 1 day = 1/90
Work done by B in 1 day = 1/40
Work done by C in 1 day = 1/12
Work done in 3 days = 1/90 + 1/40 + 1/12 = 43/360
in 8 * 3 = 24 days , work completed = 8 * 43/360 = 344/360
Remaining work = 1 - 344/360 = 16/360
in 25th day, A works and completes 1/90 work .
Remaining work = 16/360 - 1/90 = 12/360
in 26th day, B works and completes 1/40 work .
Remaining work = 12/360 - 1/40 = 1/120
in 27th day, C works and completes this entire 1/120 work
A worked 9 days by doing 1/90 work each day. Total work done by A = 9 * 1/90 = 1/10
B worked 9 days by doing 1/40 work each day. Total work done by B = 9 * 1/40 = 9/40
C worked 9 days by doing 1/12 work in the initial 8 days and 1/120 work in the 9th day.
Total work done by C = 8 * 1/12 + 1/120 = 81/120
Work done by A : Work done by B : Work done by C
= 1/10 : 9/40 : 81/120
= 12 : 27 : 81
Total amount that they get = 240
Amount that A get = 240 * 12/(12+27+81) = Rs.24
Most Upvoted Answer
A can do a piece of work in 90 days, B in 40 days and C in 12 days. Th...
LCM of 90,40,12 is 360 units
A worked in a day 360/90= 4units
B worked in a day 360/40=9units
C worked in a day 360/12=30units
for every 3days A+B+C =43units is completed
to complete the work=360/43=8cycles are required
for 3 mem =8×3=24 days (total days)
A completed 8×4units =32units work in 8 days
B completed 8×9 units =72 units work in 8 days
C completed 8×30 units =240 units work in 8 days
total amount =240
A got 240×32/32+72+240=24 approximately
A worked in a day 360/90= 4units
B worked in a day 360/40=9units
C worked in a day 360/12=30units
for every 3days A+B+C =43units is completed
to complete the work=360/43=8cycles are required
for 3 mem =8×3=24 days (total days)
A completed 8×4units =32units work in 8 days
B completed 8×9 units =72 units work in 8 days
C completed 8×30 units =240 units work in 8 days
total amount =240
A got 240×32/32+72+240=24 approximately
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Community Answer
A can do a piece of work in 90 days, B in 40 days and C in 12 days. Th...
Given:
A can do a piece of work in 90 days
B can do a piece of work in 40 days
C can do a piece of work in 12 days
They work for a day each in turn
They get Rs 240 for this job
To find:
The amount A will get
Solution:
Let the total work be 360 units (LCM of 90, 40, and 12)
So, A can do 4 units of work in a day (360/90)
B can do 9 units of work in a day (360/40)
C can do 30 units of work in a day (360/12)
They work in the following order for each cycle:
Day 1: A (4 units)
Day 2: B (9 units)
Day 3: C (30 units)
Total work done in a cycle = 4 + 9 + 30 = 43 units
They need to work for 360 units, so the number of cycles required = 360/43 = 8 cycles
In the 8 cycles, A will work for 8 days and complete 32 units of work (4x8)
B will work for 8 days and complete 72 units of work (9x8)
C will work for 8 days and complete 240 units of work (30x8)
Total amount earned by A, B, and C together = Rs 240
Let the amount earned by A be x
Then, the amount earned by B will be 2.25x (9/4 times of A, as B does 9 units of work in a day and A does 4 units)
And the amount earned by C will be 7.5x (30/4 times of A, as C does 30 units of work in a day and A does 4 units)
Total amount earned by A, B, and C together in one cycle = x + 2.25x + 7.5x = 11.75x
Total amount earned by A, B, and C together in 8 cycles = 11.75x x 8 = 94x
As the total amount earned by A, B, and C together is Rs 240, we have:
94x = 240
x = 240/94 = 2.55
Therefore, the amount A will get = x = Rs 2.55
Answer:
The amount A will get is Rs 2.55, which is approximately equal to Rs 24.
A can do a piece of work in 90 days
B can do a piece of work in 40 days
C can do a piece of work in 12 days
They work for a day each in turn
They get Rs 240 for this job
To find:
The amount A will get
Solution:
Let the total work be 360 units (LCM of 90, 40, and 12)
So, A can do 4 units of work in a day (360/90)
B can do 9 units of work in a day (360/40)
C can do 30 units of work in a day (360/12)
They work in the following order for each cycle:
Day 1: A (4 units)
Day 2: B (9 units)
Day 3: C (30 units)
Total work done in a cycle = 4 + 9 + 30 = 43 units
They need to work for 360 units, so the number of cycles required = 360/43 = 8 cycles
In the 8 cycles, A will work for 8 days and complete 32 units of work (4x8)
B will work for 8 days and complete 72 units of work (9x8)
C will work for 8 days and complete 240 units of work (30x8)
Total amount earned by A, B, and C together = Rs 240
Let the amount earned by A be x
Then, the amount earned by B will be 2.25x (9/4 times of A, as B does 9 units of work in a day and A does 4 units)
And the amount earned by C will be 7.5x (30/4 times of A, as C does 30 units of work in a day and A does 4 units)
Total amount earned by A, B, and C together in one cycle = x + 2.25x + 7.5x = 11.75x
Total amount earned by A, B, and C together in 8 cycles = 11.75x x 8 = 94x
As the total amount earned by A, B, and C together is Rs 240, we have:
94x = 240
x = 240/94 = 2.55
Therefore, the amount A will get = x = Rs 2.55
Answer:
The amount A will get is Rs 2.55, which is approximately equal to Rs 24.
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A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B does it alone and 3rd day C does it alone. After that the cycle is repeated till the work is finished. They get Rs 240 for this job. If the wages are divided in proportion to the work each had done. Find the amount A will get?a)14b)24c)34d)36Correct answer is 'B'. Can you explain this answer?
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A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B does it alone and 3rd day C does it alone. After that the cycle is repeated till the work is finished. They get Rs 240 for this job. If the wages are divided in proportion to the work each had done. Find the amount A will get?a)14b)24c)34d)36Correct answer is 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B does it alone and 3rd day C does it alone. After that the cycle is repeated till the work is finished. They get Rs 240 for this job. If the wages are divided in proportion to the work each had done. Find the amount A will get?a)14b)24c)34d)36Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn, i.e., first day A does it alone, second day B does it alone and 3rd day C does it alone. After that the cycle is repeated till the work is finished. They get Rs 240 for this job. If the wages are divided in proportion to the work each had done. Find the amount A will get?a)14b)24c)34d)36Correct answer is 'B'. Can you explain this answer?.
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