A sum of 25 was paid for a work which A can do in 32 days, B in 20 days, B and C in 12 days and D in 24 days.How much did C receive if all the four work together ?	Select:
A) 14⁄3
B) 16⁄3
C) 15⁄3
D) 17⁄3
E) None of these
A's one day's work = 1⁄32   B's one day's work = 1⁄20   (B + C)'s one day's work = 1⁄12   ∴ C's one day's work = 1⁄12 - 1⁄20 = 1⁄30   D's one day's work = 1⁄24   ∴ (A + B + C + D)'s one day's work   1/32+1/20+1/30+1/24=75+120+80+100/2400   = 375⁄2400 = 15⁄96 = 5⁄32   ∴ Out of 5⁄32 of work done   1⁄30 of the work is done by C.   ⇒ Out of 25 paid for the work, C will receive   1/30 /5/32×25, i.e, 1⁄30 × 32⁄5 × 25, i.e, 16⁄3   Answer 16⁄3
<result>B</result>
A sum of 25 was paid for a work which A can do in 32 days, B in 20 days, B and C in 12 days and D in 24 days.How much did C receive if all the four work together ?