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?
Rs. 375
Rs. 400
Rs. 600
Rs. 800
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 12 of 19.

Pavithra said:   1 decade ago
Can anyone say how the 1/6+1/8 comes as 7/24?

I need the clear explanation of the solution.

DumbAss said:   1 decade ago
Please help.

Where did the number 8 come from in 1/8*3200 = 400?

Divakar said:   1 decade ago
Last step can be written as C's share = 1/8*3200 = 400.

Nisha said:   1 decade ago
Ya The question is actually not clear. Its should say A, B and C undertook the work for Rs. 3200. The questions as it is stated may imply that A and B took Rs. 3200 individually. Correct me if I'm wrong.

Kumar said:   1 decade ago
The question is actually not clear. Its should say A, B and C undertook the work for Rs.3200. The questions as it is stated may imply that A and B took Rs.3200 individually. Correct me if I'm wrong.

Hemanth said:   1 decade ago
The question is actually not clear. Its should say A, B and C undertook the work for Rs.3200. The questions as it is stated may imply that A and B took Rs.3200 individually. Correct me if im wrong.

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.

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.

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.


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