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.
Vishal kanvajiya said:
2 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.
(144)
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:
3 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:
3 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.
(148)
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)
Hitesh said:
4 years ago
@Pradeep Koney.
It's very simply elaborated and easy to understand. Thanks.
It's very simply elaborated and easy to understand. Thanks.
(5)
Bijay Ghosh said:
4 years ago
We can even do it like;
C's share for 3 days = (1/(4+3+1) * 3200),
= 1/8 * 3200,
= 400.
C's share for 3 days = (1/(4+3+1) * 3200),
= 1/8 * 3200,
= 400.
(10)
Racha Maheshwari said:
4 years ago
A can complete the work in 6 days means.
A = 3200/6 = 533.33.
B can complete the work in 8 days means.
B = 3200/8 = 400.
Now add A+B=933.3.
All can complete the work in 3days so multiply (A+B) with 3 now the answer is 2799. 899.
Now we can find the C value by substrating 2799.899 with 3200 which is approximately 400 so the value of C is 400.
A = 3200/6 = 533.33.
B can complete the work in 8 days means.
B = 3200/8 = 400.
Now add A+B=933.3.
All can complete the work in 3days so multiply (A+B) with 3 now the answer is 2799. 899.
Now we can find the C value by substrating 2799.899 with 3200 which is approximately 400 so the value of C is 400.
(19)
Mrinmoy Saha said:
4 years ago
3(1/6+1/8+1/x) = 1
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,
3200 * 1/8 = 400.
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,
3200 * 1/8 = 400.
(6)
Joel said:
4 years ago
A's one day work = 1/6,
B's one day work = 1/8,
A's 3 days wages = 3 days * 1/6 work per day * 3200rs i.e.,3 * (1/6) * 3200 = 1600rs
B's 3 days wages = 3 days * 1/8 work per day * 3200rs i.e.,3 * (1/8) * 3200 = 1200rs.
Now remaining money is 3200-(1600+1200) = 400rs is C's 3 days wages.
B's one day work = 1/8,
A's 3 days wages = 3 days * 1/6 work per day * 3200rs i.e.,3 * (1/6) * 3200 = 1600rs
B's 3 days wages = 3 days * 1/8 work per day * 3200rs i.e.,3 * (1/8) * 3200 = 1200rs.
Now remaining money is 3200-(1600+1200) = 400rs is C's 3 days wages.
(21)
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