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 2 of 18.
BR Alam said:
1 year ago
A can do it in 6 days.
B can in 8 days.
Total work is 24 units (as 24 is the L.C.M of 6 & 8).
A + B + C = 8
(A + B + C) - (A + B),
= 8 - 7,
= 1.
1/8 * 3200 = 400rs.
B can in 8 days.
Total work is 24 units (as 24 is the L.C.M of 6 & 8).
A + B + C = 8
(A + B + C) - (A + B),
= 8 - 7,
= 1.
1/8 * 3200 = 400rs.
(24)
Joel said:
4 years ago
A's one day work = 1/6,
B's one day work = 1/8,
A's 3 days wages = 3 days * 1/6 work per day * 3200rs i.e.,3 * (1/6) * 3200 = 1600rs
B's 3 days wages = 3 days * 1/8 work per day * 3200rs i.e.,3 * (1/8) * 3200 = 1200rs.
Now remaining money is 3200-(1600+1200) = 400rs is C's 3 days wages.
B's one day work = 1/8,
A's 3 days wages = 3 days * 1/6 work per day * 3200rs i.e.,3 * (1/6) * 3200 = 1600rs
B's 3 days wages = 3 days * 1/8 work per day * 3200rs i.e.,3 * (1/8) * 3200 = 1200rs.
Now remaining money is 3200-(1600+1200) = 400rs is C's 3 days wages.
(21)
BHK said:
1 year ago
1. A can do in 6 days => 6
2. B can do in 8 days => 8 LCM of 6,8,3 is 48
3. A+B+C an do in 3 days => 3
=>Individual efficiency is;
A's 48/6 => 8 , B's 48/8 => 6 , A+B+C's =>48/3 => 16
=> Now the ratio is A:B:C = 8:6:16.
i.e .., A:B:C = 4:3:8.
Since the above ratio, C's is (4+3)-8=1.
=> New ratio is A:B: C = 4:3:1.
We have to find out how much to be paid for work.
1/8*3200 => 400.
2. B can do in 8 days => 8 LCM of 6,8,3 is 48
3. A+B+C an do in 3 days => 3
=>Individual efficiency is;
A's 48/6 => 8 , B's 48/8 => 6 , A+B+C's =>48/3 => 16
=> Now the ratio is A:B:C = 8:6:16.
i.e .., A:B:C = 4:3:8.
Since the above ratio, C's is (4+3)-8=1.
=> New ratio is A:B: C = 4:3:1.
We have to find out how much to be paid for work.
1/8*3200 => 400.
(21)
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)
Shubham said:
4 years ago
Wage will depend on the rate of work done by anyone so,
A's rate: 4
B's rate: 3
C's rate: 1.
Total Wage : 3200.
Wage per rate : 3200/8 = 400.
So
A's wage = 400*4,
B's wage = 400 * 3,
C's wage = 400 * 1.
A's rate: 4
B's rate: 3
C's rate: 1.
Total Wage : 3200.
Wage per rate : 3200/8 = 400.
So
A's wage = 400*4,
B's wage = 400 * 3,
C's wage = 400 * 1.
(16)
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)
Vandana said:
7 months ago
Here the ratios of 1/6 : 1/8 : 1/24 do not equal the ratios 4:3:1 as shown in the explanation, there seems to be a mistake in the calculation, it comes to values 3 : 4 : 12.
(14)
Bijay Ghosh said:
4 years ago
We can even do it like;
C's share for 3 days = (1/(4+3+1) * 3200),
= 1/8 * 3200,
= 400.
C's share for 3 days = (1/(4+3+1) * 3200),
= 1/8 * 3200,
= 400.
(10)
Prashant khair said:
4 years ago
C's share = total or given profit (money-3200) * (c's ratio(1/24)/sum of all ratios(3)
= 3200*3/24.
(NOTE : Sum of all ratios = 1/8 +1/6 + 1/24).
= 3200*3/24.
(NOTE : Sum of all ratios = 1/8 +1/6 + 1/24).
(9)
Shivani kumari said:
6 years ago
A's 3day ways = (1/6)*3*3200 = 1600.
B's 3day ways = (1/8)*3*3200 = 1200.
C's 3day ways = 3200-(1600+1200).
B's 3day ways = (1/8)*3*3200 = 1200.
C's 3day ways = 3200-(1600+1200).
(6)
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