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 7 of 18.
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:
8 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:
9 months 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.
(39)
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
Vasanth said:
9 years ago
Another solution :
By ratio their wages 4 : 3 : 1, totally 8parts
(i.e) 4 + 3 + 1 = 8. athe value of one part = 3200/8 = 400.
C part is one so the answer is 400 rupees.
By ratio their wages 4 : 3 : 1, totally 8parts
(i.e) 4 + 3 + 1 = 8. athe value of one part = 3200/8 = 400.
C part is one so the answer is 400 rupees.
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)
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)
Vishal raika said:
10 years ago
C's 1 day work = 1/3-{1/6+1/8} = 1/24.
A:B:C = 1/6*24:1/8*24:1/24*24.
= 4:3:1.
C share = Rs. [Day he worked*Part of work he did*Total share].
= Rs. {3*1/24*3200}.
A:B:C = 1/6*24:1/8*24:1/24*24.
= 4:3:1.
C share = Rs. [Day he worked*Part of work he did*Total share].
= Rs. {3*1/24*3200}.
Venky said:
1 decade ago
No need to calculate wages ratios.
C's part of work for 1 day is 1/24. So the contribution for 3 days is 3/24. As per contribution his share will be 3/24*3200=400.
C's part of work for 1 day is 1/24. So the contribution for 3 days is 3/24. As per contribution his share will be 3/24*3200=400.
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