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 9 of 19.
Chandni said:
1 decade ago
Any one help me in above question we take difference of day like 3-1 equal to 2 than why we not take difference of day 8-6 equal to 2 please help me.
Prashant khair said:
4 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)
Maruthupandian said:
1 decade ago
@Arnab.
In your explanation how do you do this (24/7-3) for calculating days of C alone?
won't it be (3-24/7) ?
because (A+B+C)-(A+B) = C.
In your explanation how do you do this (24/7-3) for calculating days of C alone?
won't it be (3-24/7) ?
because (A+B+C)-(A+B) = C.
Kartik Choudhary said:
9 years ago
Please make me understand this.
We calculated ratio 4:3:1.
But how's the last step is done?
How we calculated C's share. Please elaborate it.
We calculated ratio 4:3:1.
But how's the last step is done?
How we calculated C's share. Please elaborate it.
Sai Mounika said:
1 decade ago
Why we are multiply all by 24? I think C's 1 day work is 1/24 so we have to multiply all by 24 in order to get the 3 days work. Am I right?
Adithya said:
1 decade ago
A's wages : B's wages : C's wages = 4 : 3 : 1.
so
total wages(4+3+1)
3200/8 =400
for A = 400*4 = 1600....B = 3*400=1200.
for C =400
so
total wages(4+3+1)
3200/8 =400
for A = 400*4 = 1600....B = 3*400=1200.
for C =400
Naman said:
1 decade ago
This is very easy to understand .....
in last line....
there wages is 4:3:1 ....so wage of c is..
===1*3200/(4+3+1)====3200/8===400
in last line....
there wages is 4:3:1 ....so wage of c is..
===1*3200/(4+3+1)====3200/8===400
Suba said:
1 decade ago
There's no need of multiplying the number with 3. We can do it in other way as well.
As @Sai vinay said, we can consider that part.
As @Sai vinay said, we can consider that part.
Shaju said:
2 decades ago
Can anyone help me with the last step?
If we need to calculate (3 x 1/24 x 3200) then what was the use of finding the ratio.
If we need to calculate (3 x 1/24 x 3200) then what was the use of finding the ratio.
(1)
Keerthana said:
2 years ago
1/6 + 1/8 + 1/C = 1/3.
1/C = 7/24-1/3.
1/C = 1/24( 1 day's work of C).
3 days work of C-->3/24= 1/8.
1/8 x 3200 = ₹400.
1/C = 7/24-1/3.
1/C = 1/24( 1 day's work of C).
3 days work of C-->3/24= 1/8.
1/8 x 3200 = ₹400.
(49)
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