10.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?
A. Rs. 375
B. Rs. 400
C. Rs. 600
D. Rs. 800
Answer:
Option : B
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
|