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 13 of 18.
Vikas said:
1 decade ago
No need to calculate the ratios its just wast of time.
Soumya said:
1 decade ago
Can we solve the problem without calculating ratio?
Seema duhan said:
1 decade ago
take LCM of A and B work, then get:
A+B=7/24.
WHERE:
A+B+C = 1/3 (given).
So 7/24+C=1/3.
C=1/24.
With the ratio you would get to know the share of A, B and C.
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.
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.
It is simple, A's share is (4/8)*3200.
B's share is (3/8)*3200.
C's share is (1/8)*3200 (because 4+3+1=8).
A+B=7/24.
WHERE:
A+B+C = 1/3 (given).
So 7/24+C=1/3.
C=1/24.
With the ratio you would get to know the share of A, B and C.
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.
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.
It is simple, A's share is (4/8)*3200.
B's share is (3/8)*3200.
C's share is (1/8)*3200 (because 4+3+1=8).
Dave said:
1 decade ago
Actually, havent got the ratios we could have also found proportionate share of their wages as follows:
4+3+1 = 8.
Hence c's wage would've been 1/8*3200 = 400.
4+3+1 = 8.
Hence c's wage would've been 1/8*3200 = 400.
B.indirasouajyaan said:
1 decade ago
The ratio obtained is 4:3:1. Then why did you multiply 3*1/24*3200? we should not multiply with 1?
Hema said:
1 decade ago
Yes, I agree that amount 3200 in the question is not clearly mentioned. Is that for per day?
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.
Sangeethavimalraj said:
1 decade ago
Total amount is 3200,
Ratio 4:3:1,
4*x+3*x+1*x = 3200.
8x = 3200.
x = 400.
Ratio 4:3:1,
4*x+3*x+1*x = 3200.
8x = 3200.
x = 400.
Somesh said:
1 decade ago
If one person A takes "x" days to complete a work alone and another person B takes "y" days to complete the same work alone, then the number days both A and B take working together is : x y/ (x + y).
I hope you will surely understand what you have to do.
I hope you will surely understand what you have to do.
Maruthupandian said:
1 decade ago
@Arnab.
In your explanation how do you do this (24/7-3) for calculating days of C alone?
won't it be (3-24/7) ?
because (A+B+C)-(A+B) = C.
In your explanation how do you do this (24/7-3) for calculating days of C alone?
won't it be (3-24/7) ?
because (A+B+C)-(A+B) = C.
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