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.
KIRAN said:
1 decade ago
In the end, why we have multiplied 3200 with C's 3 day work whereas it is the salary of both A and B ?
Satheesh said:
1 decade ago
What is the need to multiply 3 in last step = 3*1/24*3200 (since we already subtracted (1/3) ?
Balaram said:
1 decade ago
Hi Satheesh.
From the step 1/c+1/6+1/8=1/3, you can get the work that can be done by the c in one day.
So, the part of work that is contributed by c in 3 days, is 3*work done in one day. Hence, the step 3*1/24 is the total work done by c in 3 days. Now, the wage that has to come to c is just multiplication of his work to the total wage for the whole work.
Hope, you would get the logic now.
From the step 1/c+1/6+1/8=1/3, you can get the work that can be done by the c in one day.
So, the part of work that is contributed by c in 3 days, is 3*work done in one day. Hence, the step 3*1/24 is the total work done by c in 3 days. Now, the wage that has to come to c is just multiplication of his work to the total wage for the whole work.
Hope, you would get the logic now.
Ramya said:
1 decade ago
Why we have to multiply with 24 to get the ratio as 4:3:1?
Venky said:
1 decade ago
No need to calculate wages ratios.
C's part of work for 1 day is 1/24. So the contribution for 3 days is 3/24. As per contribution his share will be 3/24*3200=400.
C's part of work for 1 day is 1/24. So the contribution for 3 days is 3/24. As per contribution his share will be 3/24*3200=400.
Arnab said:
1 decade ago
A lot simpler method --
A does 1/6 in 1 day.. B does 1/8 in one day..So they both do (1/6+1/8=7/24)in 1 day.. Hence they will finish the work in 24/7 days..
they get paid 3200 for 24/7 units of work..hence they'll be paid 3200*7/24 for 1 units of work..which is equal to 2800/3..
now A and B were finishing it in 24/7 days but on C's help they do it in 3 days..hence they are saved 24/7-3 units of work which is equal to 3/7 units of works and C will be paid for this..now 1 unit's pay was 2800/3..hence 3/7 units pay is (2800*3)/(3*7) = 400!!
A does 1/6 in 1 day.. B does 1/8 in one day..So they both do (1/6+1/8=7/24)in 1 day.. Hence they will finish the work in 24/7 days..
they get paid 3200 for 24/7 units of work..hence they'll be paid 3200*7/24 for 1 units of work..which is equal to 2800/3..
now A and B were finishing it in 24/7 days but on C's help they do it in 3 days..hence they are saved 24/7-3 units of work which is equal to 3/7 units of works and C will be paid for this..now 1 unit's pay was 2800/3..hence 3/7 units pay is (2800*3)/(3*7) = 400!!
Anandhakumar said:
1 decade ago
Let us take total work as the L.C.M of 6,8,3 i.e 24.
So A's per day work is 24/6=4, B's =24/8=3, a+b+c's=24/3=8.
So C's Ability is= 8-(4+3)=1 ie(a+b+c-a-b).
So the amount has to be divided into 4:3:1
So C's share is (1/8)*3200=400
So A's per day work is 24/6=4, B's =24/8=3, a+b+c's=24/3=8.
So C's Ability is= 8-(4+3)=1 ie(a+b+c-a-b).
So the amount has to be divided into 4:3:1
So C's share is (1/8)*3200=400
Preeti2009_delhi@yahoo.com said:
1 decade ago
If both a and b work together on the single piece than in how many days they will complete their work and how?
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)
Kavitha said:
1 decade ago
One day work of A+B = (1/6)+(1/8) = 7/24
3 days work of A+B = (7/24)*3 = 7/8
Total amount=3200
3 days work of A+B with the amount 3200 = (7/8)*3200 = 2800
(A+B)'s share is 2800
C's share is = 3200-2800 = 400.
3 days work of A+B = (7/24)*3 = 7/8
Total amount=3200
3 days work of A+B with the amount 3200 = (7/8)*3200 = 2800
(A+B)'s share is 2800
C's share is = 3200-2800 = 400.
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