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:
179 comments Page 9 of 18.

Adithya said:   1 decade ago
A's wages : B's wages : C's wages = 4 : 3 : 1.
so
total wages(4+3+1)
3200/8 =400
for A = 400*4 = 1600....B = 3*400=1200.
for C =400

Naman said:   1 decade ago
This is very easy to understand .....

in last line....
there wages is 4:3:1 ....so wage of c is..
===1*3200/(4+3+1)====3200/8===400

Suba said:   10 years ago
There's no need of multiplying the number with 3. We can do it in other way as well.

As @Sai vinay said, we can consider that part.

Shaju said:   1 decade ago
Can anyone help me with the last step?

If we need to calculate (3 x 1/24 x 3200) then what was the use of finding the ratio.

Keerthana said:   11 months ago
1/6 + 1/8 + 1/C = 1/3.
1/C = 7/24-1/3.
1/C = 1/24( 1 day's work of C).
3 days work of C-->3/24= 1/8.
1/8 x 3200 = ₹400.
(40)

Sahil Kapoor said:   1 decade ago
I agree with siddharth, either the 3 should be removed or they should mention that A,B,C charge Rs 3200 "PER DAY"

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 )

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?

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.

Ram said:   1 decade ago
I think this is a wrong question. In it the information is not given that for how many days A and B are given 3200?


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