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 6 of 18.
Kavitha said:
1 decade ago
One day work of A+B = (1/6)+(1/8) = 7/24
3 days work of A+B = (7/24)*3 = 7/8
Total amount=3200
3 days work of A+B with the amount 3200 = (7/8)*3200 = 2800
(A+B)'s share is 2800
C's share is = 3200-2800 = 400.
3 days work of A+B = (7/24)*3 = 7/8
Total amount=3200
3 days work of A+B with the amount 3200 = (7/8)*3200 = 2800
(A+B)'s share is 2800
C's share is = 3200-2800 = 400.
Shyam said:
8 years ago
A bullocks & B tractors can shield a field in 8 days. If we halve the bullocks and double the tractors then it takes 5 days. In how many days A bullocks can shield the field?
Please answer this question.
Please answer this question.
Shashank A said:
1 decade ago
The last step of calculating 3*1/24*3200 is wrong as C would alone earn 3200 that way at the end of 24 days..:).The idea should be 1 part of 8 parts earned amongst A ,B and C is earned by C.Hence its 400....
Shubham said:
4 years ago
Wage will depend on the rate of work done by anyone so,
A's rate: 4
B's rate: 3
C's rate: 1.
Total Wage : 3200.
Wage per rate : 3200/8 = 400.
So
A's wage = 400*4,
B's wage = 400 * 3,
C's wage = 400 * 1.
A's rate: 4
B's rate: 3
C's rate: 1.
Total Wage : 3200.
Wage per rate : 3200/8 = 400.
So
A's wage = 400*4,
B's wage = 400 * 3,
C's wage = 400 * 1.
(16)
Vishwa said:
8 years ago
No! @Priyanka.
It's the total amount given for total work done by all 3.
Total work is 8parts, out of which c can complete only 1 part hence C can get 1/8 Part of the total amount.
i.e (1/8) *3200=400.
It's the total amount given for total work done by all 3.
Total work is 8parts, out of which c can complete only 1 part hence C can get 1/8 Part of the total amount.
i.e (1/8) *3200=400.
Nisha said:
1 decade ago
Ya The question is actually not clear. Its should say A, B and C undertook the work for Rs. 3200. The questions as it is stated may imply that A and B took Rs. 3200 individually. Correct me if I'm wrong.
RAJNISH JHA said:
9 years ago
Given,
A finish work in 6 days.
B finish work in 8 days.
Then C's 1 day work = 1/3 - (1/6 + 1/8) = 1/24.
Then ratio of a : b : c = 4 : 3 : 1.
Then, C share for 3 days = 3 * 1/24 * 3200 = 400-> answer.
A finish work in 6 days.
B finish work in 8 days.
Then C's 1 day work = 1/3 - (1/6 + 1/8) = 1/24.
Then ratio of a : b : c = 4 : 3 : 1.
Then, C share for 3 days = 3 * 1/24 * 3200 = 400-> answer.
Kumar said:
1 decade ago
The question is actually not clear. Its should say A, B and C undertook the work for Rs.3200. The questions as it is stated may imply that A and B took Rs.3200 individually. Correct me if I'm wrong.
Hemanth said:
1 decade ago
The question is actually not clear. Its should say A, B and C undertook the work for Rs.3200. The questions as it is stated may imply that A and B took Rs.3200 individually. Correct me if im wrong.
Anjana S Babu said:
1 decade ago
A's 1 day work = 1/6.
B's 1 day work = 1/8.
C's 1 day work = 1/3.
We can calculate both A+B = 1/6+1/8.
= 8+6/48 = 14/48.
= 7/24.
Then C's 1 day work = 1/3-7/24.
= 24-21/72 = 3/72.
= 1/24.
B's 1 day work = 1/8.
C's 1 day work = 1/3.
We can calculate both A+B = 1/6+1/8.
= 8+6/48 = 14/48.
= 7/24.
Then C's 1 day work = 1/3-7/24.
= 24-21/72 = 3/72.
= 1/24.
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