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 1 of 18.
Vishnu said:
1 decade ago
How did you calculated the wages ratio?
(2)
Dhanush said:
1 decade ago
A's wages : B's wages : C's wages =
=A's 1 day's work:B's 1 day's work:C's 1 day's work
=1/6 : 1/8 : 1/24
=4 : 3 : 1.(multiple by 24..:1/6*24 : 1/8*24 : 1/24*24)
=A's 1 day's work:B's 1 day's work:C's 1 day's work
=1/6 : 1/8 : 1/24
=4 : 3 : 1.(multiple by 24..:1/6*24 : 1/8*24 : 1/24*24)
Shaju said:
1 decade ago
Can anyone help me with the last step?
If we need to calculate (3 x 1/24 x 3200) then what was the use of finding the ratio.
If we need to calculate (3 x 1/24 x 3200) then what was the use of finding the ratio.
Chethu said:
1 decade ago
Good Question Shaju,
With the ratio you would get to know the share of A, B and C.
A:B:C = 4:3:1
So the wages can be calculated easily (4*400:3*400:1*400) which is equal to (1600:1200:400) if we add it, it would give us the total amount if 3200.
With the ratio you would get to know the share of A, B and C.
A:B:C = 4:3:1
So the wages can be calculated easily (4*400:3*400:1*400) which is equal to (1600:1200:400) if we add it, it would give us the total amount if 3200.
Shyam said:
1 decade ago
It is simple, A's share is (4/8)*3200
B's share is (3/8)*3200
C's share is (1/8)*3200
B's share is (3/8)*3200
C's share is (1/8)*3200
Harish said:
1 decade ago
1/6:1/8:1/24==4:3:1 how its came give me the logic
Ravi said:
1 decade ago
The highest among the denominators is 24..so multiply the ratios by 24..
24/6:24/8:24/24
4:3:1
24/6:24/8:24/24
4:3:1
Sandy said:
1 decade ago
From where did 1/24 come?
Sandy said:
1 decade ago
@Sandy that is c's one day work.. ok.... @dhanush has clearly explained...
Vinita said:
1 decade ago
Sir pls explain me this step 1/3-7/24= 1/24
How is it?
How is it?
(1)
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