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 2 of 18.
Guna said:
1 decade ago
@Vinita
Its simple L.C.M
24-21/24*3=3/72=1/24...
Its simple L.C.M
24-21/24*3=3/72=1/24...
SIDDHARTH said:
1 decade ago
IN 3*1/24*3200...FROM WHERE 3 IS COME
Sahil Kapoor said:
1 decade ago
I agree with siddharth, either the 3 should be removed or they should mention that A,B,C charge Rs 3200 "PER DAY"
Aatif said:
1 decade ago
1/24 is the work done by C in one day. For three days "3" is used.
Jagjeet said:
1 decade ago
I agree in question they should mention 3200 per day.
Shashank A said:
1 decade ago
The last step of calculating 3*1/24*3200 is wrong as C would alone earn 3200 that way at the end of 24 days..:).The idea should be 1 part of 8 parts earned amongst A ,B and C is earned by C.Hence its 400....
Vandhanasuberwal said:
1 decade ago
We can solve it as 1/8 multiply 3200.
Jeevana said:
1 decade ago
Can anyone help me with the first step?
why do like that only
why do like that only
Krishna said:
1 decade ago
See jeevana ,
a,b,c can complete work in 3 days
so a,b,c can complete a work in 1 days=1/3...........(1)
a and b can complete work in 1 day=1/6+1/8=7/24works.....(2)
c's one day works =a's and b's one day works is subtracted from a b c one days work that is(1-2)
So 1/24 works done by c
c 's 3 days work is 3/24=1/8
so c's share is = 3200/8=400
a,b,c can complete work in 3 days
so a,b,c can complete a work in 1 days=1/3...........(1)
a and b can complete work in 1 day=1/6+1/8=7/24works.....(2)
c's one day works =a's and b's one day works is subtracted from a b c one days work that is(1-2)
So 1/24 works done by c
c 's 3 days work is 3/24=1/8
so c's share is = 3200/8=400
Anil said:
1 decade ago
Wages is necessary for this question ?
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