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 10 of 19.
Pradeep sharma said:
1 decade ago
Thanks a lot Sapna. You have cleared my confusion about 7/24.
Suba said:
1 decade ago
There's no need of multiplying the number with 3. We can do it in other way as well.
As @Sai vinay said, we can consider that part.
As @Sai vinay said, we can consider that part.
Sai vinay said:
1 decade ago
A's work = 1/6.
B's work = 1/8.
A+B+C = 1/3 per day.
C = (A+B+C) - (A+B).
= (1/3) - ((1/6)+(1/8)).
= 1/24.
So A:B:C = 1/6:1/8:1/24.
LCM = 24.
Ratio = 4:3:1.
T.P = (4+3+1) = 8.
8 parts--------------------->3200.
Then C's 1 part---------------------->?
-->8*x = 3200*1.
x = 3200/8.
C money = 400.
B's work = 1/8.
A+B+C = 1/3 per day.
C = (A+B+C) - (A+B).
= (1/3) - ((1/6)+(1/8)).
= 1/24.
So A:B:C = 1/6:1/8:1/24.
LCM = 24.
Ratio = 4:3:1.
T.P = (4+3+1) = 8.
8 parts--------------------->3200.
Then C's 1 part---------------------->?
-->8*x = 3200*1.
x = 3200/8.
C money = 400.
Yash said:
1 decade ago
I didn't understand the step.
How they multiplied wage of C with 3?
How they multiplied wage of C with 3?
Thomas said:
1 decade 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.
Rajesh said:
1 decade ago
No of work days done by a, b, c.
Prithivi said:
1 decade ago
Can any one say how was the ratio can be calculated those three a, b, c?
Raj Pathak said:
1 decade ago
Hope this will change. A, B and C total 3200 not like A and B as mentioned above.
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.
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.
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