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 12 of 18.
Vinnu said:
1 decade ago
See from the problem we can calculate c's 1 day work = 1/24.
It means he can complete work in 24 days.
So for calculating wage of c we can say for 24 days he is to be paid 3200. But for 3 days he is to be paid?
Cross multiply we get (3*3200) /24=400.
Its easy.
It means he can complete work in 24 days.
So for calculating wage of c we can say for 24 days he is to be paid 3200. But for 3 days he is to be paid?
Cross multiply we get (3*3200) /24=400.
Its easy.
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.
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?
Alby said:
1 decade ago
From the ratio itself we can calculate.
A's wages:B's wages:C's wages = 4:3:1.
Then to calculate C's wages from 3200 = 1/(4+3+1) * 3200.
= 1/8 of 3200.
= 400.
A's wages:B's wages:C's wages = 4:3:1.
Then to calculate C's wages from 3200 = 1/(4+3+1) * 3200.
= 1/8 of 3200.
= 400.
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?
Vinod Rathod said:
1 decade ago
Leave every method go for simple method.
A alone can do the work in 6 days.
B alone can do the work 8 days.
They took the work at Rs 3200 with the help of C.
Lets take a per day work of A at Rs x.
Total = 3200/6 days.
= 533.33*3 days.
A = 1599.99 = 1600.
B = 3200/8 days.
= 400 * 3 days.
B = 1200.
A+B = 1600+1200 = 2800 And left 3200 -2800 = 400.
C = 400 Answer.
A alone can do the work in 6 days.
B alone can do the work 8 days.
They took the work at Rs 3200 with the help of C.
Lets take a per day work of A at Rs x.
Total = 3200/6 days.
= 533.33*3 days.
A = 1599.99 = 1600.
B = 3200/8 days.
= 400 * 3 days.
B = 1200.
A+B = 1600+1200 = 2800 And left 3200 -2800 = 400.
C = 400 Answer.
Satyakrishna said:
1 decade ago
Is there any shortcut method to find this, by directly substituting the values?
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 )
Prince dubey said:
1 decade ago
Wages ratio is not important short method is.
C work in 3 days.
A & B money = 3200.
C work ratio is 1/24 by method (1/3- (1/6+1/8) ).
Last calculation is 3*1/24*3200.
Answer is 400.
C work in 3 days.
A & B money = 3200.
C work ratio is 1/24 by method (1/3- (1/6+1/8) ).
Last calculation is 3*1/24*3200.
Answer is 400.
Prince dubey said:
1 decade ago
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 = 7/24 works.....(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.
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 = 7/24 works.....(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.
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