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:
186 comments Page 3 of 19.
Keerthana S said:
8 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.
(11)
Bijay Ghosh said:
5 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:
5 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)
Ahin said:
6 months ago
The easiest solution to this question is to find the efficiency of a + b + c - (a + b). You would be getting 1 as c's efficiency.
So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.
So, the total work done by a + b + c is 8.
i.e. 1 is divided by 8 * 3200. And You'll get 400.
(7)
Shivani kumari said:
7 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)
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)
Hitesh said:
5 years ago
@Pradeep Koney.
It's very simply elaborated and easy to understand. Thanks.
It's very simply elaborated and easy to understand. Thanks.
(5)
Deep said:
8 months ago
Thanks everyone for explaining the answer.
(3)
A K Burnwal said:
2 months ago
A + B + C = 1/3.
A + B = 1/6 + 1/8 = 7/24,
C = 1/3 - 7/24 = 1/24,
C's share = 3 * 3200 * 1/24 = 400.
A + B = 1/6 + 1/8 = 7/24,
C = 1/3 - 7/24 = 1/24,
C's share = 3 * 3200 * 1/24 = 400.
(3)
Vishnu said:
2 decades ago
How did you calculated the wages ratio?
(2)
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