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.
Danish said:
1 decade ago
How do you guys know that C's work ratio is 24? Please help.
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.
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.
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.
Chandni said:
1 decade ago
Any one help me in above question we take difference of day like 3-1 equal to 2 than why we not take difference of day 8-6 equal to 2 please help me.
Soumyajit Roy said:
1 decade ago
A's work of 1 day = 1/6 B's work of 1 day = 1/8.
A's work of 3 days = 1/6*3 = 1/2 B's work of 3 days = 1/8*3 = 3/8.
(A+B) 's work of 3 days (1/2 + 3/8) = 7/8.
So the left work in 3 days is done by C.
That is, (1 - 7/8) = 1/8.
Now A, B, C share in the whole money is depend on their work ratio.
So C's Share is 1/8*3200 = 400.
A's work of 3 days = 1/6*3 = 1/2 B's work of 3 days = 1/8*3 = 3/8.
(A+B) 's work of 3 days (1/2 + 3/8) = 7/8.
So the left work in 3 days is done by C.
That is, (1 - 7/8) = 1/8.
Now A, B, C share in the whole money is depend on their work ratio.
So C's Share is 1/8*3200 = 400.
Raj Pathak said:
10 years ago
Hope this will change. A, B and C total 3200 not like A and B as mentioned above.
Prithivi said:
10 years ago
Can any one say how was the ratio can be calculated those three a, b, c?
Rajesh said:
10 years ago
No of work days done by a, b, c.
Thomas said:
10 years ago
C's share (for 3 days) = Rs. 3x1x3200 = Rs. 400.
Seems this step has confused everyone.
Ideally we should go like this:
C share is 1 from (4:3:1).
So the share from total amount is C'share 1/4+3+1 = 1/8.
C's Share of Money 1/8*3200 = 400.
Seems this step has confused everyone.
Ideally we should go like this:
C share is 1 from (4:3:1).
So the share from total amount is C'share 1/4+3+1 = 1/8.
C's Share of Money 1/8*3200 = 400.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers