Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 5)
5.
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?
Answer: Option
Explanation:
| C's 1 day's work = | 1 | - |  |
1 | + | 1 |  |
= | 1 | - | 7 | = | 1 | . |
| 3 | 6 | 8 | 3 | 24 | 24 |
| A's wages : B's wages : C's wages = | 1 | : | 1 | : | 1 | = 4 : 3 : 1. |
| 6 | 8 | 24 |
 C's share (for 3 days) = Rs. |
|
3 x | 1 | x 3200 | |
= Rs. 400. |
| 24 |
Discussion:
179 comments Page 2 of 18.
Aitya said:
1 decade ago
A very simple method is :-
The total complition money of the job is 3200.
A completes the job in 6 day's..
So his per day fees is 3200/6=533.33
B completes the job in 8 day's..
So his per day fees is 3200/8=400
a,b & c complets the job in 3days..
(3*A'per day fees + 3*B'per day fees )=3200
(3*533.33+3*400+3*c'per day fees)=3200
3*c'per day fees=3200-(1600+1200)
=3200-2800
C' full fee of the work is=400
The total complition money of the job is 3200.
A completes the job in 6 day's..
So his per day fees is 3200/6=533.33
B completes the job in 8 day's..
So his per day fees is 3200/8=400
a,b & c complets the job in 3days..
(3*A'per day fees + 3*B'per day fees )=3200
(3*533.33+3*400+3*c'per day fees)=3200
3*c'per day fees=3200-(1600+1200)
=3200-2800
C' full fee of the work is=400
Srisha said:
1 decade ago
A very simple method is :
The total completion money of the job is 3200.
A completes the job in 6 day's.
So his per day fees is 3200/6=533.33
B completes the job in 8 day's.
So his per day fees is 3200/8=400
a,b & c completes the job in 3days.
(3*A'per day fees + 3*B'per day fees )=3200
(3*533.33+3*400+3*c'per day fees)=3200
3*c'per day fees=3200-(1600+1200)=3200-2800
C's full fee of the work is = 400
The total completion money of the job is 3200.
A completes the job in 6 day's.
So his per day fees is 3200/6=533.33
B completes the job in 8 day's.
So his per day fees is 3200/8=400
a,b & c completes the job in 3days.
(3*A'per day fees + 3*B'per day fees )=3200
(3*533.33+3*400+3*c'per day fees)=3200
3*c'per day fees=3200-(1600+1200)=3200-2800
C's full fee of the work is = 400
Bharath said:
9 years ago
NO need of looking for ratios. Just understand the question and do logically.
A = 6days
B = 8days
C = ?
A + B + C = 3200rupees.
Now we need to find how many days would C take to complete his work.
1/6 + 1/8+ C = 1/3.
C = 1/3 - (1/6 + 1/8).
1/3 - (7/24).
1/24.
So, here we found that C can do 1/24 work in one day, now in 3 days C can do:
3 * 1/24 = 1/8.
Now 1/8 * 3200 gives us the answer.
So, 1/8 * 3200 = 400.
A = 6days
B = 8days
C = ?
A + B + C = 3200rupees.
Now we need to find how many days would C take to complete his work.
1/6 + 1/8+ C = 1/3.
C = 1/3 - (1/6 + 1/8).
1/3 - (7/24).
1/24.
So, here we found that C can do 1/24 work in one day, now in 3 days C can do:
3 * 1/24 = 1/8.
Now 1/8 * 3200 gives us the answer.
So, 1/8 * 3200 = 400.
Balaram said:
1 decade ago
Hi Satheesh.
From the step 1/c+1/6+1/8=1/3, you can get the work that can be done by the c in one day.
So, the part of work that is contributed by c in 3 days, is 3*work done in one day. Hence, the step 3*1/24 is the total work done by c in 3 days. Now, the wage that has to come to c is just multiplication of his work to the total wage for the whole work.
Hope, you would get the logic now.
From the step 1/c+1/6+1/8=1/3, you can get the work that can be done by the c in one day.
So, the part of work that is contributed by c in 3 days, is 3*work done in one day. Hence, the step 3*1/24 is the total work done by c in 3 days. Now, the wage that has to come to c is just multiplication of his work to the total wage for the whole work.
Hope, you would get the logic now.
Kanmani Roja said:
1 decade ago
Another method to solve this problem can be:
A's 1 day work = 1/6.
B's 1 day work = 1/8.
Both combined (1 day work) = 1/6+1/8 = 7/24 work.
Hence both together completed in = 24/7 days.
Therefore in 24/7 days = 3200 wages.
C's working days = 3-24/7 = 3/7.
Hence for 24/7 days = 3200 wages.
C's 3/7 days = x wages.
To find x:
24/7(x) = 3/7*3200.
x = 400.
C should be paid by Rs.400.
A's 1 day work = 1/6.
B's 1 day work = 1/8.
Both combined (1 day work) = 1/6+1/8 = 7/24 work.
Hence both together completed in = 24/7 days.
Therefore in 24/7 days = 3200 wages.
C's working days = 3-24/7 = 3/7.
Hence for 24/7 days = 3200 wages.
C's 3/7 days = x wages.
To find x:
24/7(x) = 3/7*3200.
x = 400.
C should be paid by Rs.400.
Sriya said:
8 years ago
It's more like the ratio n proportion. The ratio of A:B:C's 1-day work is 1/6:1/8:1/24
24 is multiplied for simplified calculation. If you multiply 24 in the numerator of each, it'd give 4:3:1.
(Because 24/6=4, 24/8=3, 24/24=1).
Sum of the proportion 4:3:1 = 4+3+1 = 8.
Now, A gets = 4/8 of 3200 = 1600,
B gets = 3/8 of 3200 = 1200,
C gets = 1/8 of 3200 = 400.
24 is multiplied for simplified calculation. If you multiply 24 in the numerator of each, it'd give 4:3:1.
(Because 24/6=4, 24/8=3, 24/24=1).
Sum of the proportion 4:3:1 = 4+3+1 = 8.
Now, A gets = 4/8 of 3200 = 1600,
B gets = 3/8 of 3200 = 1200,
C gets = 1/8 of 3200 = 400.
Vinod Rathod said:
1 decade ago
Leave every method go for simple method.
A alone can do the work in 6 days.
B alone can do the work 8 days.
They took the work at Rs 3200 with the help of C.
Lets take a per day work of A at Rs x.
Total = 3200/6 days.
= 533.33*3 days.
A = 1599.99 = 1600.
B = 3200/8 days.
= 400 * 3 days.
B = 1200.
A+B = 1600+1200 = 2800 And left 3200 -2800 = 400.
C = 400 Answer.
A alone can do the work in 6 days.
B alone can do the work 8 days.
They took the work at Rs 3200 with the help of C.
Lets take a per day work of A at Rs x.
Total = 3200/6 days.
= 533.33*3 days.
A = 1599.99 = 1600.
B = 3200/8 days.
= 400 * 3 days.
B = 1200.
A+B = 1600+1200 = 2800 And left 3200 -2800 = 400.
C = 400 Answer.
John said:
9 years ago
The last portion can also be explained as:
Since the ratio of the wages of A:B:C came as 4:3:1 respectively, it's obvious that the proportion of C is 1/8 i.e. 1/4+3+1 = 1/8.
Since the total amount is Rs. 3200, the portion or the amount received by C is 1/8 X 3200 = 400.
Similarly portions of other members are: A's 4/8 X 3200 = 1600.
B's 3/8 X 3200 = 1200.
Since the ratio of the wages of A:B:C came as 4:3:1 respectively, it's obvious that the proportion of C is 1/8 i.e. 1/4+3+1 = 1/8.
Since the total amount is Rs. 3200, the portion or the amount received by C is 1/8 X 3200 = 400.
Similarly portions of other members are: A's 4/8 X 3200 = 1600.
B's 3/8 X 3200 = 1200.
Ankit said:
9 years ago
A finish work in day = 6,
B finish work in day = 8,
LCM = 24.
A doing work in one day = 24/6 = 4,
B doing work in one day = 24/8 = 3,
If both are work together, so one day work = 4 + 3 = 7.
So, one day work = 7/24,
In three day = 3(7/24),
A and B combined rupee = 21/24*3200 = 2800.
So, C = 3200 - 2800 = 400.
Please suggest me, this is true or wrong.
B finish work in day = 8,
LCM = 24.
A doing work in one day = 24/6 = 4,
B doing work in one day = 24/8 = 3,
If both are work together, so one day work = 4 + 3 = 7.
So, one day work = 7/24,
In three day = 3(7/24),
A and B combined rupee = 21/24*3200 = 2800.
So, C = 3200 - 2800 = 400.
Please suggest me, this is true or wrong.
Prince dubey said:
1 decade ago
A, B, C can complete work in 3 days.
so A, B, C can complete a work in 1 days = 1/3...........(1).
A and B can complete work in 1 day = 1/6+1/8 = 7/24 works.....(2).
C's one day works = A's and B's one day works is subtracted from A B C one days work that is(1-2).
So 1/24 works done by C.
C 's 3 days work is 3/24 = 1/8.
So C's share is = 3200/8 = 400.
so A, B, C can complete a work in 1 days = 1/3...........(1).
A and B can complete work in 1 day = 1/6+1/8 = 7/24 works.....(2).
C's one day works = A's and B's one day works is subtracted from A B C one days work that is(1-2).
So 1/24 works done by C.
C 's 3 days work is 3/24 = 1/8.
So C's share is = 3200/8 = 400.
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