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:
184 comments Page 15 of 19.
Chandana said:
1 decade ago
C's one days work is 1/3.
A and B's one day work is 1/6 and 1/8 respectively.
Now to know the amount of work done by C, we have to calculate the work done by A and B, i.e.,
1/6 + 1/8= 7/24, now we have to calculate how much work C alone has alone done so, 1/3 - 7/24 take LMC you will get 8-7 / 24 you will get 1/24
And now 3*1/2*3200 = 400.
A and B's one day work is 1/6 and 1/8 respectively.
Now to know the amount of work done by C, we have to calculate the work done by A and B, i.e.,
1/6 + 1/8= 7/24, now we have to calculate how much work C alone has alone done so, 1/3 - 7/24 take LMC you will get 8-7 / 24 you will get 1/24
And now 3*1/2*3200 = 400.
Muhammad Akmal said:
1 decade ago
Please explain that how (1/3 -7/24) = C's one day's work?
What is the logic?
What is the logic?
Adithya said:
1 decade ago
A's wages : B's wages : C's wages = 4 : 3 : 1.
so
total wages(4+3+1)
3200/8 =400
for A = 400*4 = 1600....B = 3*400=1200.
for C =400
so
total wages(4+3+1)
3200/8 =400
for A = 400*4 = 1600....B = 3*400=1200.
for C =400
Shro said:
1 decade ago
Why to subtract C's work from (A and B) in 1st step?
Tabish said:
1 decade ago
Why multiplied by 24 to the A,B,C's one day work as it is the work completed by C in one day?
Prasad said:
1 decade ago
C's share is=[1/(4+3+1)]*3200;
Is it ok to solve by this method
Is it ok to solve by this method
Ess said:
1 decade ago
Why you are multiplying 3200 in c's 3 day work ?
Sri said:
1 decade ago
@Pradeep koney.
Thanks Pradeep your method is easy.
Thanks Pradeep your method is easy.
Sekhar said:
1 decade ago
Pradeep koni explains very very good.
Parvatraj said:
1 decade ago
According the quetion,
A can do in 1 day 1/6 work. in 3 days 3/6 work.
B can do in 1 day 1/8 work. in 3 days 3/8 work.
So C has done (1-(3/6+3/8)) work. That is 1/8 work.
So he has to get 1/3 of total amount. i.e, 3200/8=400 rs.
But the calculation they have given is wrong. but answer is right unfortunately.
A can do in 1 day 1/6 work. in 3 days 3/6 work.
B can do in 1 day 1/8 work. in 3 days 3/8 work.
So C has done (1-(3/6+3/8)) work. That is 1/8 work.
So he has to get 1/3 of total amount. i.e, 3200/8=400 rs.
But the calculation they have given is wrong. but answer is right unfortunately.
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