Class 12 Exam > Class 12 Questions > A alone can do a piece of work in 6 days and ...
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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
- a)Rs.600
- b)Rs.400
- c)Rs.375
- d)Rs.800
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A alone can do a piece of work in 6 days and B alone in 8 days. A and ...
Given:
A can do a piece of work in 6 days.
B can do a piece of work in 8 days.
A and B together completed the work for Rs.3200.
With the help of C, they completed the work in 3 days.
To find:
How much is to be paid to C?
Solution:
Let the total work be 48 units, which is the LCM of 6 and 8.
So, A can do 8 units of work in a day, and B can do 6 units of work in a day.
In 3 days, A completes 24 units of work, and B completes 18 units of work.
So, total work completed in 3 days = 42 units (24 + 18)
Remaining work = 6 units (48 - 42)
Let C can do x units of work in a day.
So, in 3 days, C completes 3x units of work.
Total work completed by A, B, and C in 3 days = 24 + 18 + 3x = 42 + 3x
As per the given condition, A, B, and C together completed the work for Rs.3200.
So, 1 unit of work is done for Rs.3200/48 = Rs.66.67
Therefore, 6 units of remaining work is done for Rs.66.67 x 6 = Rs.400.
Hence, the amount to be paid to C is Rs.400.
Therefore, option B is the correct answer.
A can do a piece of work in 6 days.
B can do a piece of work in 8 days.
A and B together completed the work for Rs.3200.
With the help of C, they completed the work in 3 days.
To find:
How much is to be paid to C?
Solution:
Let the total work be 48 units, which is the LCM of 6 and 8.
So, A can do 8 units of work in a day, and B can do 6 units of work in a day.
In 3 days, A completes 24 units of work, and B completes 18 units of work.
So, total work completed in 3 days = 42 units (24 + 18)
Remaining work = 6 units (48 - 42)
Let C can do x units of work in a day.
So, in 3 days, C completes 3x units of work.
Total work completed by A, B, and C in 3 days = 24 + 18 + 3x = 42 + 3x
As per the given condition, A, B, and C together completed the work for Rs.3200.
So, 1 unit of work is done for Rs.3200/48 = Rs.66.67
Therefore, 6 units of remaining work is done for Rs.66.67 x 6 = Rs.400.
Hence, the amount to be paid to C is Rs.400.
Therefore, option B is the correct answer.
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Community Answer
A alone can do a piece of work in 6 days and B alone in 8 days. A and ...
- Work done by A in one day = 1/6.
- Work done by B in one day = 1/8
- Work done by C in one day = 1/3 - (1/6+1/8) = 1/3 -7/24 = (8-7)/24 = 1/24.
A's wage : B's wage : C's wage = 1/6 : 1/8 : 1/24 = 4: 3: 1
Therefore, C's share = (1/8) * 3200 = Rs 400.
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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs.600b)Rs.400c)Rs.375d)Rs.800Correct answer is option 'B'. Can you explain this answer?
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A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs.600b)Rs.400c)Rs.375d)Rs.800Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs.600b)Rs.400c)Rs.375d)Rs.800Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs.3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?a)Rs.600b)Rs.400c)Rs.375d)Rs.800Correct answer is option 'B'. Can you explain this answer?.
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