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 3 of 18.
Krishna said:
1 decade ago
See jeevana ,
a,b,c can complete work in 3 days
so a,b,c can complete a work in 1 days=1/3...........(1)
a and b can complete work in 1 day=1/6+1/8=7/24works.....(2)
c's one day works =a's and b's one day works is subtracted from a b c one days work that is(1-2)
So 1/24 works done by c
c 's 3 days work is 3/24=1/8
so c's share is = 3200/8=400
a,b,c can complete work in 3 days
so a,b,c can complete a work in 1 days=1/3...........(1)
a and b can complete work in 1 day=1/6+1/8=7/24works.....(2)
c's one day works =a's and b's one day works is subtracted from a b c one days work that is(1-2)
So 1/24 works done by c
c 's 3 days work is 3/24=1/8
so c's share is = 3200/8=400
Abhishek Giri said:
8 years ago
@ALL.
3 days work.
A completes in 6 days so he should get half of Rs.3200 i.e., 1600.
B's completes in 8 days means half work in 4 days. that means he has worked 1 day less than A
3200/2 = 1600.
1600/4 (B half days work) = Rs. 400 for 1-day work.
so 1600-400 = Rs .1200 (B will get).
Remaining C.
1600+1200 = 2800.
3200-2800 = 400(C will get).
3 days work.
A completes in 6 days so he should get half of Rs.3200 i.e., 1600.
B's completes in 8 days means half work in 4 days. that means he has worked 1 day less than A
3200/2 = 1600.
1600/4 (B half days work) = Rs. 400 for 1-day work.
so 1600-400 = Rs .1200 (B will get).
Remaining C.
1600+1200 = 2800.
3200-2800 = 400(C will get).
Racha Maheshwari said:
4 years ago
A can complete the work in 6 days means.
A = 3200/6 = 533.33.
B can complete the work in 8 days means.
B = 3200/8 = 400.
Now add A+B=933.3.
All can complete the work in 3days so multiply (A+B) with 3 now the answer is 2799. 899.
Now we can find the C value by substrating 2799.899 with 3200 which is approximately 400 so the value of C is 400.
A = 3200/6 = 533.33.
B can complete the work in 8 days means.
B = 3200/8 = 400.
Now add A+B=933.3.
All can complete the work in 3days so multiply (A+B) with 3 now the answer is 2799. 899.
Now we can find the C value by substrating 2799.899 with 3200 which is approximately 400 so the value of C is 400.
(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.
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.
Vinod Anand said:
1 decade ago
If A=1/6 ,B=1/8 and A+B+C = 1/3 ----(1).
A+B = 1/6 + 1/8 = 7/24.
Put the value of A+B in Eq.(1).
Than C = 1/8 - 7/24 = 1/24.
The Value of C' is 1/24.
Now the Ratio of A:B:C =1/6:1/8:1/24 (The L.C.M Of 1/6+1/8+1/24 is 24)
A:B:C =4:3:1.
Than Amt.is Rs.3200.
So the C' will be paid = 3200 X 1/8.
= Rs. 400.00 Answer.
A+B = 1/6 + 1/8 = 7/24.
Put the value of A+B in Eq.(1).
Than C = 1/8 - 7/24 = 1/24.
The Value of C' is 1/24.
Now the Ratio of A:B:C =1/6:1/8:1/24 (The L.C.M Of 1/6+1/8+1/24 is 24)
A:B:C =4:3:1.
Than Amt.is Rs.3200.
So the C' will be paid = 3200 X 1/8.
= Rs. 400.00 Answer.
Sai vinay said:
10 years 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.
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.
Pradeep Koney said:
1 decade ago
No need to do all this hard work dudes......
A works 6days and gets 3200,i.e.,for one day=3200/6=1600/3
B works 8days and gets 3200,i.e.,for one day=3200/8=400
A&B&C worked for 3days
That is A gets 3*1600/3 for 3days=1600
B gets 3*400 for 3days=1200
A+B wages=1600+1200=2800
C wages=3200-2800=400
A works 6days and gets 3200,i.e.,for one day=3200/6=1600/3
B works 8days and gets 3200,i.e.,for one day=3200/8=400
A&B&C worked for 3days
That is A gets 3*1600/3 for 3days=1600
B gets 3*400 for 3days=1200
A+B wages=1600+1200=2800
C wages=3200-2800=400
(1)
Ravi said:
4 months ago
A + B + C = 1/3
1/6 + 1/8 + 1/x = 1/3.
(4+3)/24 + 1/x = 1/3.
1/x = 1/3 - 7/24
1/x = (8-7)/24
1/x = 1/24.
Therefore x= 24.
Now 1/6 : 1/8 : 1/24.
4/24 : 3/24 : 1/24,
4 : 3 : 1.
So C share is 1 total share 8
C's share = (3200/8 ) *1,
= 400*1,
= 400.
1/6 + 1/8 + 1/x = 1/3.
(4+3)/24 + 1/x = 1/3.
1/x = 1/3 - 7/24
1/x = (8-7)/24
1/x = 1/24.
Therefore x= 24.
Now 1/6 : 1/8 : 1/24.
4/24 : 3/24 : 1/24,
4 : 3 : 1.
So C share is 1 total share 8
C's share = (3200/8 ) *1,
= 400*1,
= 400.
(16)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers