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:
184 comments Page 5 of 19.
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)
Ahin said:
6 days 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.
(1)
Satya Ranjan Sethy said:
4 days ago
Work done by A in one day = 1/6.
Like this of B = 1/8.
The work done by both A and B is 1/6 + 1/8 = 7/24.
3 days work of A and B is 3 * 7/24 = 7/8.
A and B complete 7 parts (for 7/8) of the total work (as we consider the total work is 1),
So, C does 1/8 (which means 1 part of the total work)
So 3200/8 = 400(for each part),
c will be paid 400.
Like this of B = 1/8.
The work done by both A and B is 1/6 + 1/8 = 7/24.
3 days work of A and B is 3 * 7/24 = 7/8.
A and B complete 7 parts (for 7/8) of the total work (as we consider the total work is 1),
So, C does 1/8 (which means 1 part of the total work)
So 3200/8 = 400(for each part),
c will be paid 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.
Jagjeet said:
2 decades ago
I agree in question they should mention 3200 per day.
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