X's 1 day work = \(\cfrac { 1 }{ 6 } \) 
Y''s 1 day work = \(\cfrac { 1 }{ 8 } \) 
(X + Y + Z)'s, 1day work = \(\cfrac { 1 }{ 3 } \) 
Z's 1 day work = \(\cfrac { 1 }{ 3 } -\left( \cfrac { 1 }{ 6 } +\cfrac { 1 }{ 8 } \right) =\cfrac { 16-(8+6) }{ 48 } =\cfrac { 16-14 }{ 48 } =\cfrac { 2 }{ 48 } =\cfrac { 1 }{ 24 } \) 
Since they all work for the same number of days the ratio in which they share the money is equal to the ratio of their work done per day.
\(\cfrac { 1 }{ 6 } :\cfrac { 1 }{ 8 } :\cfrac { 1 }{ 24 } =\cfrac { 8 }{ 48 } :\cfrac { 6 }{ 48 } :\cfrac { 2 }{ 48 } =8:6:2\) 
Total part = 4 + 3 + 1
= 8
\(\therefore \text { Z's share }=\frac{1}{8} \times 48000\)
= Rs. 6000

(A + B + C)'s 1 day work = \(\cfrac { 1 }{ 5 } \)
A's 1 day work = \(\cfrac { 1 }{ 15 } \)
B and C's 1 day work = \(\cfrac { 1 }{ 5 } -\cfrac { 1 }{ 15 } =\cfrac { 3-1 }{ 15 } =\cfrac { 2 }{ 15 } \) 
Band c finish the work in \(\cfrac { 15 }{ 2 } =7\quad 1/2\quad days\) 

Amutha's 1 day work = \(\cfrac { 1 }{ 18 } \) 

If both of them weave together they complete weaving the Saree in 6 days.

\(Given=32, \mathrm{H}_{1}=12, \mathrm{D}_{1}=15, \mathrm{~W}_{1}=1, \)
\(\mathrm{D}_{2}=24, \mathrm{H}_{2}=10, \mathrm{~W}_{2}=2 \)
\(\frac{P_{1} \times H_{1} \times D_{1}}{W_{1}} =\frac{P_{2} \times H_{2} \times D_{2}}{W_{2}} \)
\(\frac{32 \times 12 \times 15}{1} =\frac{P_{2} \times 10 \times 24}{2} \)
\(\mathrm{P}_{2} =\frac{32 \times 12 \times 15 \times 2}{10 \times 24}=48 \)
48 men working 10 hours a day can do double that work in 24 days

Carpenter A fits the parts of a chair in 1 minute = \(\cfrac { 1 }{ 15 } \)
Carpenter B fits the parts of a chaaiir In 1 minute = \(\cfrac { 1 }{ 18 } \) 
(A+B) fit the parts in 1 minute = \(\cfrac { 1 }{ 15 } +\cfrac { 1 }{ 18 } =\cfrac { 6+5 }{ 90 } =\cfrac { 11 }{ 90 } \) 
Time taken to fit. 1 chair = \(\cfrac { 90 }{ 11 } \) mtrs 

 Time taken to fit the parts for 22 chairs = 3 hours