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 11 of 19.
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)
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.
KIRAN said:
1 decade ago
In the end, why we have multiplied 3200 with C's 3 day work whereas it is the salary of both A and B ?
Raj said:
2 years ago
A = 1/6 = [4]
B = 1/8 = [3]
A + B + C = 1/3 = [8]
L.c.m = 24
A = 4, B = 3 and C = 1
3200/8 = 1.
= 400.
B = 1/8 = [3]
A + B + C = 1/3 = [8]
L.c.m = 24
A = 4, B = 3 and C = 1
3200/8 = 1.
= 400.
(28)
Sateesh Vudum said:
1 decade ago
Find the Ratio among the A, B, C.
Add the ratios = 4:3:1 = 8.
8-32000.
1-?
= 3200/8 = 400's wages.
Add the ratios = 4:3:1 = 8.
8-32000.
1-?
= 3200/8 = 400's wages.
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?
LEE SOHO said:
3 years ago
@ALL
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
A+B = 1/6 + 1/8 = 7/24,
7/24 x 3 = 7/8,
Then, REMAINING WORK ------>1/8
1/8 x 3200 = 400.
(141)
Ravi said:
2 decades ago
The highest among the denominators is 24..so multiply the ratios by 24..
24/6:24/8:24/24
4:3:1
24/6:24/8:24/24
4:3:1
(1)
Satheesh said:
1 decade ago
What is the need to multiply 3 in last step = 3*1/24*3200 (since we already subtracted (1/3) ?
Tushar said:
9 years ago
C's 1day work=total work-(A'a 1day work+B's1day work).
C's work is=1/3-(1/6+1/8).
It's simple.
C's work is=1/3-(1/6+1/8).
It's simple.
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