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 5 of 19.
Ishan raj said:
7 years ago
How 4:3:1 came? Anyone explain me.
(1)
HARIPRASAD K N said:
7 years ago
It is very simple;
A's 1day work = 1/6.
B's 1day work = 1/8.
A&B&C's 1day work=1/3.
C's 1day work=A+B+C'S 1day work-(A+B's 1day work)=(1/3)-(1/6)-(1/8) = 1/24.
A will do a complete work that is 1 full work in 6 day's means how much work he will do in 3 days given by;
6days--------->1 complete work
3days--------->?
Cross multiply then we get 1/2 work that is half of the work total work done by A.
Similarly, B ' s work done in 3 days is given by;
8 days-------->1 complete work,
3------------------?
Cross multiply we get 3/8 part of 1 complete work done by B.
Similarly, C's part of work is given by;
24 days --------->1 complete work
3 days ------------>?
By cross multiply, we get 1/8.
So,
For 1 complete work they get ------------>3200.
Then for A's (1/2) part of that work------>?
Cross multiply we get 1600.
Similarly for B
1 complete work------->3200
B's (3/8) part of the work--->?
By cross multiply, we get 1200.
Similarly for C.
1 Complete work ------>3200
C's part of (1/8) part of the work--->?
We get by cross multiply 400.
A's 1day work = 1/6.
B's 1day work = 1/8.
A&B&C's 1day work=1/3.
C's 1day work=A+B+C'S 1day work-(A+B's 1day work)=(1/3)-(1/6)-(1/8) = 1/24.
A will do a complete work that is 1 full work in 6 day's means how much work he will do in 3 days given by;
6days--------->1 complete work
3days--------->?
Cross multiply then we get 1/2 work that is half of the work total work done by A.
Similarly, B ' s work done in 3 days is given by;
8 days-------->1 complete work,
3------------------?
Cross multiply we get 3/8 part of 1 complete work done by B.
Similarly, C's part of work is given by;
24 days --------->1 complete work
3 days ------------>?
By cross multiply, we get 1/8.
So,
For 1 complete work they get ------------>3200.
Then for A's (1/2) part of that work------>?
Cross multiply we get 1600.
Similarly for B
1 complete work------->3200
B's (3/8) part of the work--->?
By cross multiply, we get 1200.
Similarly for C.
1 Complete work ------>3200
C's part of (1/8) part of the work--->?
We get by cross multiply 400.
(1)
Akash said:
6 years ago
How 1/3 - 7/24= 1/24?
Please explain to me.
Please explain to me.
(1)
Reshma said:
6 years ago
Ratio = 4:3:1.
4x3x + x = 3200.
8x = 3200,
X = 400,
C's share = 400.
4x3x + x = 3200.
8x = 3200,
X = 400,
C's share = 400.
(1)
Sandy said:
2 decades ago
From where did 1/24 come?
Sandy said:
2 decades ago
@Sandy that is c's one day work.. ok.... @dhanush has clearly explained...
Guna said:
2 decades 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:
2 decades ago
IN 3*1/24*3200...FROM WHERE 3 IS COME
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"
Aatif said:
2 decades ago
1/24 is the work done by C in one day. For three days "3" is used.
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