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:
184 comments Page 2 of 19.
BHK said:
2 years ago
1. A can do in 6 days => 6
2. B can do in 8 days => 8 LCM of 6,8,3 is 48
3. A+B+C an do in 3 days => 3
=>Individual efficiency is;
A's 48/6 => 8 , B's 48/8 => 6 , A+B+C's =>48/3 => 16
=> Now the ratio is A:B:C = 8:6:16.
i.e .., A:B:C = 4:3:8.
Since the above ratio, C's is (4+3)-8=1.
=> New ratio is A:B: C = 4:3:1.
We have to find out how much to be paid for work.
1/8*3200 => 400.
2. B can do in 8 days => 8 LCM of 6,8,3 is 48
3. A+B+C an do in 3 days => 3
=>Individual efficiency is;
A's 48/6 => 8 , B's 48/8 => 6 , A+B+C's =>48/3 => 16
=> Now the ratio is A:B:C = 8:6:16.
i.e .., A:B:C = 4:3:8.
Since the above ratio, C's is (4+3)-8=1.
=> New ratio is A:B: C = 4:3:1.
We have to find out how much to be paid for work.
1/8*3200 => 400.
(25)
BR Alam said:
2 years ago
A can do it in 6 days.
B can in 8 days.
Total work is 24 units (as 24 is the L.C.M of 6 & 8).
A + B + C = 8
(A + B + C) - (A + B),
= 8 - 7,
= 1.
1/8 * 3200 = 400rs.
B can in 8 days.
Total work is 24 units (as 24 is the L.C.M of 6 & 8).
A + B + C = 8
(A + B + C) - (A + B),
= 8 - 7,
= 1.
1/8 * 3200 = 400rs.
(27)
Raj said:
2 years ago
A = 1/6 = [4]
B = 1/8 = [3]
A + B + C = 1/3 = [8]
L.c.m = 24
A = 4, B = 3 and C = 1
3200/8 = 1.
= 400.
B = 1/8 = [3]
A + B + C = 1/3 = [8]
L.c.m = 24
A = 4, B = 3 and C = 1
3200/8 = 1.
= 400.
(28)
LEE SOHO said:
3 years ago
@ALL
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
(141)
Aya adel said:
3 years ago
if a &b end the job they take 3200.
a = 1/6.
b = 1/8.
a+b+c = 1/3.
1/6 + 1/8 + 1/c = 1/3.
1/c = 1/3 - 7/24.
1/c = 1/24.
if c works for 24/24 days it will take 3200.
but it works for 3 days 3/24.
So 3200*3/24 divided by 24/24.
Then answer is 400.
a = 1/6.
b = 1/8.
a+b+c = 1/3.
1/6 + 1/8 + 1/c = 1/3.
1/c = 1/3 - 7/24.
1/c = 1/24.
if c works for 24/24 days it will take 3200.
but it works for 3 days 3/24.
So 3200*3/24 divided by 24/24.
Then answer is 400.
(46)
Vishal kanvajiya said:
3 years ago
A = 6
B = 8
A + B + C = 3
C = ?.
Lcm = 24
A = 4, B = 3,A + B + C = 8.
C = 8 - 7 = 1,
C = 1.
Money = 3200/8 = 400.
C = 1 * 400 = 400.
Answer is 400.
B = 8
A + B + C = 3
C = ?.
Lcm = 24
A = 4, B = 3,A + B + C = 8.
C = 8 - 7 = 1,
C = 1.
Money = 3200/8 = 400.
C = 1 * 400 = 400.
Answer is 400.
(146)
Avinash said:
3 years ago
@All
Here, we have to find C's 1day work.
A's1day + B's1day + C's1day = total work done in one day for 3 days by A+B+C.
= 1/6 + 1/8 + C = 1/3.
(1/6+1/8) + C = 1/3.
(7/24)+C = 1/3.
Therefore, C= 1/3-7/24.
C=1/24.
Am I right? Please clarify me.
Here, we have to find C's 1day work.
A's1day + B's1day + C's1day = total work done in one day for 3 days by A+B+C.
= 1/6 + 1/8 + C = 1/3.
(1/6+1/8) + C = 1/3.
(7/24)+C = 1/3.
Therefore, C= 1/3-7/24.
C=1/24.
Am I right? Please clarify me.
(43)
Pritam said:
4 years ago
Its too easy.
A can do a job in 6 days: A=6.
B can do a job in 8 days: B=8.
6&8 LCM is 24.
Now, 6 * 4 = 24(A). 8 * 3 = 24(B).
A + B + C = 3Days, 3 * 8 = 24(A+B+C).
If ABC= 8 and A is 4 And B is 3.
So, (4-3 = 1:C) : C= 1.
Now ratio will be 4:3:1.
And C =400.
A can do a job in 6 days: A=6.
B can do a job in 8 days: B=8.
6&8 LCM is 24.
Now, 6 * 4 = 24(A). 8 * 3 = 24(B).
A + B + C = 3Days, 3 * 8 = 24(A+B+C).
If ABC= 8 and A is 4 And B is 3.
So, (4-3 = 1:C) : C= 1.
Now ratio will be 4:3:1.
And C =400.
(25)
Karan k said:
4 years ago
A+B = 1/6+1/8 = 7/24.
7/24*3 = 7/8.
REMAINING WORK---> 1/8.
1/8 * 3200 = 400 rs.
7/24*3 = 7/8.
REMAINING WORK---> 1/8.
1/8 * 3200 = 400 rs.
(150)
Prashant khair said:
4 years ago
C's share = total or given profit (money-3200) * (c's ratio(1/24)/sum of all ratios(3)
= 3200*3/24.
(NOTE : Sum of all ratios = 1/8 +1/6 + 1/24).
= 3200*3/24.
(NOTE : Sum of all ratios = 1/8 +1/6 + 1/24).
(9)
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