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 13 of 18.

Muhammad Akmal said:   1 decade ago
Please explain that how (1/3 -7/24) = C's one day's work?
What is the logic?

Mrinmoy Saha said:   4 years ago
3(1/6+1/8+1/x) = 1
=> 1/x = 1/24,
1/6:1/8:1/24= 4:3:1,

3200 * 1/8 = 400.
(6)

Hitesh said:   4 years ago
@Pradeep Koney.

It's very simply elaborated and easy to understand. Thanks.
(5)

Sandy said:   1 decade ago
@Sandy that is c's one day work.. ok.... @dhanush has clearly explained...

Prithivi said:   10 years ago
Can any one say how was the ratio can be calculated those three a, b, c?

Yash said:   10 years ago
I didn't understand the step.

How they multiplied wage of C with 3?

Zeenat said:   6 years ago
1/6 * 24 : 1/8 * 24 :1/24 * 24 convert fraction to the whole number.

Reshma said:   5 years ago
Ratio = 4:3:1.
4x3x + x = 3200.
8x = 3200,
X = 400,
C's share = 400.
(1)

Bhabani said:   9 years ago
You can directly write there 4x+3x+x=3200, then you also got x=400.

Renju K S said:   9 years ago
For what purpose we need to find ratio of wages for this question?


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