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 12 of 18.
Yaamu said:
6 years ago
Why we are taking ratio 3 * 3200 * 1/24 where does this 3 come from can anyone explain me?
(2)
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)
Shyam said:
1 decade ago
It is simple, A's share is (4/8)*3200
B's share is (3/8)*3200
C's share is (1/8)*3200
B's share is (3/8)*3200
C's share is (1/8)*3200
Naveen said:
9 years ago
@Pradeep, your method is really superb and very easy to understand. Thank you so much.
Ahamika said:
9 years ago
I still can't understand the solution. Is there any shortcut to find the solution?
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)
Raj Pathak said:
10 years ago
Hope this will change. A, B and C total 3200 not like A and B as mentioned above.
Satyakrishna said:
1 decade ago
Is there any shortcut method to find this, by directly substituting the values?
Sangeethavimalraj said:
1 decade ago
Total amount is 3200,
Ratio 4:3:1,
4*x+3*x+1*x = 3200.
8x = 3200.
x = 400.
Ratio 4:3:1,
4*x+3*x+1*x = 3200.
8x = 3200.
x = 400.
Aatif said:
1 decade ago
1/24 is the work done by C in one day. For three days "3" is used.
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