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 10 of 19.
Seema duhan said:
1 decade ago
take LCM of A and B work, then get:
A+B=7/24.
WHERE:
A+B+C = 1/3 (given).
So 7/24+C=1/3.
C=1/24.
With the ratio you would get to know the share of A, B and C.
Now the Ratio of A:B:C =1/6:1/8:1/24 (The L.C.M Of 1/6+1/8+1/24 is 24)
A:B:C =4:3:1.
So the wages can be calculated easily (4*400:3*400:1*400) which is equal to (1600:1200:400) if we add it, it would give us the total amount if 3200.
It is simple, A's share is (4/8)*3200.
B's share is (3/8)*3200.
C's share is (1/8)*3200 (because 4+3+1=8).
A+B=7/24.
WHERE:
A+B+C = 1/3 (given).
So 7/24+C=1/3.
C=1/24.
With the ratio you would get to know the share of A, B and C.
Now the Ratio of A:B:C =1/6:1/8:1/24 (The L.C.M Of 1/6+1/8+1/24 is 24)
A:B:C =4:3:1.
So the wages can be calculated easily (4*400:3*400:1*400) which is equal to (1600:1200:400) if we add it, it would give us the total amount if 3200.
It is simple, A's share is (4/8)*3200.
B's share is (3/8)*3200.
C's share is (1/8)*3200 (because 4+3+1=8).
Soumya said:
1 decade ago
Can we solve the problem without calculating ratio?
Vikas said:
1 decade ago
No need to calculate the ratios its just wast of time.
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.
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.
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 )
Satyakrishna said:
1 decade ago
Is there any shortcut method to find this, by directly substituting the values?
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.
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?
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.
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