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 11 of 19.
Sateesh Vudum said:
1 decade ago
Find the Ratio among the A, B, C.
Add the ratios = 4:3:1 = 8.
8-32000.
1-?
= 3200/8 = 400's wages.
Add the ratios = 4:3:1 = 8.
8-32000.
1-?
= 3200/8 = 400's wages.
Archita said:
1 decade ago
A 1 day work = 1/6.
B 1 day work = 1/8.
(A + B + C) complete work in = 3 days.
A + B + C one day work = 1/3.
1/6 + 1/8 + (C one day work) = 1/3.
C one day work = 1/3 - (1/6 + 1/8) = 1/24.
Total money = 3200.
So A, B, C share in the whole money is depend on their work ratio.
A work : B work : C work = 1/6 : 1/8 : 1/24.
Or 4 : 3 : 1 (multiply 24 in each).
A share = (4/8) *3200 = 1600.
B share = (3/8) * 3200 = 1200.
C share = (1/8) *3200 = 400.
B 1 day work = 1/8.
(A + B + C) complete work in = 3 days.
A + B + C one day work = 1/3.
1/6 + 1/8 + (C one day work) = 1/3.
C one day work = 1/3 - (1/6 + 1/8) = 1/24.
Total money = 3200.
So A, B, C share in the whole money is depend on their work ratio.
A work : B work : C work = 1/6 : 1/8 : 1/24.
Or 4 : 3 : 1 (multiply 24 in each).
A share = (4/8) *3200 = 1600.
B share = (3/8) * 3200 = 1200.
C share = (1/8) *3200 = 400.
Mouni said:
1 decade ago
Hi @Danish.
In sum we have total work of a, b, c so we subtract both a and b work from total work then we will get c work that is 1/24 ok.
And then to find ratio of wages we multiply with 24 why because the LCM of a, b, c is 24. So we multiply with 24 and get ratios of all.
In sum we have total work of a, b, c so we subtract both a and b work from total work then we will get c work that is 1/24 ok.
And then to find ratio of wages we multiply with 24 why because the LCM of a, b, c is 24. So we multiply with 24 and get ratios of all.
Danish said:
1 decade ago
How do you guys know that C's work ratio is 24? Please help.
Yuvraj said:
1 decade ago
How to find A And B share?
Ram said:
1 decade ago
I think this is a wrong question. In it the information is not given that for how many days A and B are given 3200?
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.
Kanmani Roja said:
1 decade ago
Another method to solve this problem can be:
A's 1 day work = 1/6.
B's 1 day work = 1/8.
Both combined (1 day work) = 1/6+1/8 = 7/24 work.
Hence both together completed in = 24/7 days.
Therefore in 24/7 days = 3200 wages.
C's working days = 3-24/7 = 3/7.
Hence for 24/7 days = 3200 wages.
C's 3/7 days = x wages.
To find x:
24/7(x) = 3/7*3200.
x = 400.
C should be paid by Rs.400.
A's 1 day work = 1/6.
B's 1 day work = 1/8.
Both combined (1 day work) = 1/6+1/8 = 7/24 work.
Hence both together completed in = 24/7 days.
Therefore in 24/7 days = 3200 wages.
C's working days = 3-24/7 = 3/7.
Hence for 24/7 days = 3200 wages.
C's 3/7 days = x wages.
To find x:
24/7(x) = 3/7*3200.
x = 400.
C should be paid by Rs.400.
Uday said:
1 decade ago
Suppose if we want A share, then.
A/(A+B+C)*3200 = 4/(4+3+1)*3200.
= 4/8*3200.
A's share = 1600.
B's share = B/(A+B+C) = 3/(4+3+1)*3200.
= 3/8*3200.
B's share = 1200.
Similarly C's share = 400.
Therefore Sum of shares of A+B+C = 3200.
A/(A+B+C)*3200 = 4/(4+3+1)*3200.
= 4/8*3200.
A's share = 1600.
B's share = B/(A+B+C) = 3/(4+3+1)*3200.
= 3/8*3200.
B's share = 1200.
Similarly C's share = 400.
Therefore Sum of shares of A+B+C = 3200.
Sapna said:
1 decade ago
1/6+1/8 = 8+6/48.
= 14/48.
= 7/24.
= 14/48.
= 7/24.
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