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:
181 comments Page 9 of 19.
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:
1 year 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.
(48)
Sahil Kapoor said:
2 decades ago
I agree with siddharth, either the 3 should be removed or they should mention that A,B,C charge Rs 3200 "PER DAY"
Karun said:
1 decade ago
A efficiency 16.66.
B efficiency 12.50.
So total work of A+B is 29.16 remaining 70.84.
So 70.84/3 = 24(C efficency )
B efficiency 12.50.
So total work of A+B is 29.16 remaining 70.84.
So 70.84/3 = 24(C efficency )
Rohan said:
1 decade ago
1/6 : 1/8 : 1/24 and ratio 4:3:1.
Answer above says highest number is 24 so multiply all by 24... is that the logic?
Answer above says highest number is 24 so multiply all by 24... is that the logic?
Vivek jasele said:
1 decade ago
4:3:1.
C share will be simply as already we have count for 3 days work.
1/4+3+1*32000 = 1/8*3200 = 400.
Answer.
C share will be simply as already we have count for 3 days work.
1/4+3+1*32000 = 1/8*3200 = 400.
Answer.
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