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:
181 comments Page 3 of 19.
Mrinmoy Saha said:
5 years ago
3(1/6+1/8+1/x) = 1
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,
3200 * 1/8 = 400.
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,
3200 * 1/8 = 400.
(6)
Joel said:
5 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)
Shubham said:
5 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)
Reshma said:
5 years ago
Ratio = 4:3:1.
4x3x + x = 3200.
8x = 3200,
X = 400,
C's share = 400.
4x3x + x = 3200.
8x = 3200,
X = 400,
C's share = 400.
(1)
Billal BD said:
6 years ago
1/6+1/8+1/x= 1/3.
=> 1/x= 1/3- 1/6-1/8.
=> 1/x= 1/24,
=> x= 24.
4:3:1.
C's share = Rs. 400.
=> 1/x= 1/3- 1/6-1/8.
=> 1/x= 1/24,
=> x= 24.
4:3:1.
C's share = Rs. 400.
Akash said:
6 years ago
How 1/3 - 7/24= 1/24?
Please explain to me.
Please explain to me.
(1)
Saran said:
6 years ago
Thanks @Shivani Kumari.
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)
Sai said:
7 years ago
A = 6days.
B = 8days.
A+B+C=3days.
C's no of days required to complete the work.
(1÷6)+(1÷8)+(1÷C)=(1÷3).
Therefore C=24 day's.
Now the ratio of no of days taken by each member to complete the work comes(6:8:24).
But, we know that A is somewhat a fast worker than B and C therefore he must be paid more and C is taking more time he must be paid less,
Now let's considers these people's each day of work ie A=(1÷6), B=(1÷8), C=(1÷24).
Therefore the total units of work=(1÷6)+(1÷8)+(1÷24)=( 1÷3) by taking lcm
Now ,
The total amount to is 3200.
3200/(1÷3)=9600.
Therefore 9600/24 is 400.
B = 8days.
A+B+C=3days.
C's no of days required to complete the work.
(1÷6)+(1÷8)+(1÷C)=(1÷3).
Therefore C=24 day's.
Now the ratio of no of days taken by each member to complete the work comes(6:8:24).
But, we know that A is somewhat a fast worker than B and C therefore he must be paid more and C is taking more time he must be paid less,
Now let's considers these people's each day of work ie A=(1÷6), B=(1÷8), C=(1÷24).
Therefore the total units of work=(1÷6)+(1÷8)+(1÷24)=( 1÷3) by taking lcm
Now ,
The total amount to is 3200.
3200/(1÷3)=9600.
Therefore 9600/24 is 400.
Princi said:
7 years ago
What is the need of ratio?
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