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 16 of 18.
Ajinkya said:
8 years ago
A's 1 days work=1/6.A worked for 3 days.
So A's income will be 3200*3/6=1600 RS.
B work for 3 days = 3/8,
B's income =3/8*3200 = 1200,
So C's income= 3200-(A+B income),
= 3200-2800,
= 400.
So A's income will be 3200*3/6=1600 RS.
B work for 3 days = 3/8,
B's income =3/8*3200 = 1200,
So C's income= 3200-(A+B income),
= 3200-2800,
= 400.
Priyanka said:
8 years ago
Is 3200 is wage per person per day?
Vishwa said:
8 years ago
No! @Priyanka.
It's the total amount given for total work done by all 3.
Total work is 8parts, out of which c can complete only 1 part hence C can get 1/8 Part of the total amount.
i.e (1/8) *3200=400.
It's the total amount given for total work done by all 3.
Total work is 8parts, out of which c can complete only 1 part hence C can get 1/8 Part of the total amount.
i.e (1/8) *3200=400.
The Pope said:
8 years ago
Thanks for the given Explaination.
Vasu said:
8 years ago
Thanks for all the given explanations.
Rahul Manjhi said:
8 years ago
If A do work in 6days then in 3days the amount he will get=3/6*3200=1600.
If B do work in 8days then in 3days the amount he will get=3/8*3200=800.
Therefore,1600+800(A+B)took together=2800.
Now, total amount=3200.
So the amount C will get=3200-2800=400(answer).
If B do work in 8days then in 3days the amount he will get=3/8*3200=800.
Therefore,1600+800(A+B)took together=2800.
Now, total amount=3200.
So the amount C will get=3200-2800=400(answer).
Nagesh said:
8 years ago
Please, Anyone can you help me?
Why we are multiplying with 24 to get the ratios of a:b:c?
Why we are multiplying with 24 to get the ratios of a:b:c?
Sweta said:
8 years ago
Can any one help me how the first step is possible?
Tushar said:
8 years ago
C's 1day work=total work-(A'a 1day work+B's1day work).
C's work is=1/3-(1/6+1/8).
It's simple.
C's work is=1/3-(1/6+1/8).
It's simple.
Sriya said:
8 years ago
It's more like the ratio n proportion. The ratio of A:B:C's 1-day work is 1/6:1/8:1/24
24 is multiplied for simplified calculation. If you multiply 24 in the numerator of each, it'd give 4:3:1.
(Because 24/6=4, 24/8=3, 24/24=1).
Sum of the proportion 4:3:1 = 4+3+1 = 8.
Now, A gets = 4/8 of 3200 = 1600,
B gets = 3/8 of 3200 = 1200,
C gets = 1/8 of 3200 = 400.
24 is multiplied for simplified calculation. If you multiply 24 in the numerator of each, it'd give 4:3:1.
(Because 24/6=4, 24/8=3, 24/24=1).
Sum of the proportion 4:3:1 = 4+3+1 = 8.
Now, A gets = 4/8 of 3200 = 1600,
B gets = 3/8 of 3200 = 1200,
C gets = 1/8 of 3200 = 400.
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