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:
185 comments Page 6 of 19.
Anandhakumar said:
1 decade ago
Let us take total work as the L.C.M of 6,8,3 i.e 24.
So A's per day work is 24/6=4, B's =24/8=3, a+b+c's=24/3=8.
So C's Ability is= 8-(4+3)=1 ie(a+b+c-a-b).
So the amount has to be divided into 4:3:1
So C's share is (1/8)*3200=400
So A's per day work is 24/6=4, B's =24/8=3, a+b+c's=24/3=8.
So C's Ability is= 8-(4+3)=1 ie(a+b+c-a-b).
So the amount has to be divided into 4:3:1
So C's share is (1/8)*3200=400
Ajinkya said:
9 years ago
A's 1 days work=1/6.A worked for 3 days.
So A's income will be 3200*3/6=1600 RS.
B work for 3 days = 3/8,
B's income =3/8*3200 = 1200,
So C's income= 3200-(A+B income),
= 3200-2800,
= 400.
So A's income will be 3200*3/6=1600 RS.
B work for 3 days = 3/8,
B's income =3/8*3200 = 1200,
So C's income= 3200-(A+B income),
= 3200-2800,
= 400.
Bitu said:
1 decade ago
According to the question 3200.00 was given to be the amount taken by both A & B collectively for completing the work together. Then how could it be treated as the total amount obtained by the three to be distributed among.
Ahin said:
6 days ago
The easiest solution to this question is to find the efficiency of a + b + c - (a + b). You would be getting 1 as c's efficiency.
So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.
So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.
(1)
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:
9 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:
5 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:
9 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.
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