Class 12 Exam > Class 12 Questions > A alone can do a piece of work in 6 days and ...
Start Learning for Free
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?
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.
Free Test
FREE
| Start Free Test |
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.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
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?
Question Description
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 2025 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 2025 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?.
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 2025 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 2025 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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup