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:
185 comments Page 7 of 19.
RAJNISH JHA said:
10 years ago
Given,
A finish work in 6 days.
B finish work in 8 days.
Then C's 1 day work = 1/3 - (1/6 + 1/8) = 1/24.
Then ratio of a : b : c = 4 : 3 : 1.
Then, C share for 3 days = 3 * 1/24 * 3200 = 400-> answer.
A finish work in 6 days.
B finish work in 8 days.
Then C's 1 day work = 1/3 - (1/6 + 1/8) = 1/24.
Then ratio of a : b : c = 4 : 3 : 1.
Then, C share for 3 days = 3 * 1/24 * 3200 = 400-> answer.
Kumar said:
1 decade ago
The question is actually not clear. Its should say A, B and C undertook the work for Rs.3200. The questions as it is stated may imply that A and B took Rs.3200 individually. Correct me if I'm wrong.
Hemanth said:
1 decade ago
The question is actually not clear. Its should say A, B and C undertook the work for Rs.3200. The questions as it is stated may imply that A and B took Rs.3200 individually. Correct me if im wrong.
Anjana S Babu said:
1 decade ago
A's 1 day work = 1/6.
B's 1 day work = 1/8.
C's 1 day work = 1/3.
We can calculate both A+B = 1/6+1/8.
= 8+6/48 = 14/48.
= 7/24.
Then C's 1 day work = 1/3-7/24.
= 24-21/72 = 3/72.
= 1/24.
B's 1 day work = 1/8.
C's 1 day work = 1/3.
We can calculate both A+B = 1/6+1/8.
= 8+6/48 = 14/48.
= 7/24.
Then C's 1 day work = 1/3-7/24.
= 24-21/72 = 3/72.
= 1/24.
Keerthana S said:
2 months ago
See,
I hope everyone gets dout on how 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
So first consider this 1/6:1/8:1/24
LCM will be 24 so, then
1/6 × 24 = 4.
1/8 × 24 = 3.
1/24 × 24 = 1.
So, it's 4 : 3 : 1.
I hope everyone gets dout on how 1/6 : 1/8 : 1/24 = 4 : 3 : 1.
So first consider this 1/6:1/8:1/24
LCM will be 24 so, then
1/6 × 24 = 4.
1/8 × 24 = 3.
1/24 × 24 = 1.
So, it's 4 : 3 : 1.
(5)
Prince dubey said:
1 decade ago
Wages ratio is not important short method is.
C work in 3 days.
A & B money = 3200.
C work ratio is 1/24 by method (1/3- (1/6+1/8) ).
Last calculation is 3*1/24*3200.
Answer is 400.
C work in 3 days.
A & B money = 3200.
C work ratio is 1/24 by method (1/3- (1/6+1/8) ).
Last calculation is 3*1/24*3200.
Answer is 400.
HimiD said:
9 years ago
We see that C can finish it in 3 days. So, C works harder. If we divide Rs 3200 by 3 its Rs 1066.67. As C works harder C should get more than Rs. 1066.67. So, why he is getting Rs. 400?
Kartik said:
1 year ago
The Lcm of 6 and 8 is 24(total work) the A = 4 and B = 3.
Given 3(A+B+C) = 24.
By substituting A and B values C = 1.
The ratios of A, B, C are 4:3:1.
C's share is = 1/8 × 3200 = 400.
Given 3(A+B+C) = 24.
By substituting A and B values C = 1.
The ratios of A, B, C are 4:3:1.
C's share is = 1/8 × 3200 = 400.
(66)
Praveen kumar said:
7 years ago
The sum of three numbers is 275. If the ratio between the fast and second be 3:7 and that between the second and third be 4:5 then find the second number. Can anyone solve this?
Rahul chourasia said:
1 decade ago
Wages ratio is not important short method is
c work in 3 days
a & b money =3200
c work ratio is 1/24 by method (1/3-(1/6+1/8))
last calculation is 3*1/24*3200
ans is 400
c work in 3 days
a & b money =3200
c work ratio is 1/24 by method (1/3-(1/6+1/8))
last calculation is 3*1/24*3200
ans is 400
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers