Solution:
∵ Loss will be divided according to their investment ratio =

Solution:
Ratio of profit of Anil : Kamal : Vini
(8000 × 6) : (4000 × 8) : (8000 × 8)
= 48000 : 32000 : 64000
= 48 : 32 : 64
= 3 : 2 : 4
$$\eqalign{ \therefore {\text{Kamal's share}} \cr = {\text{Rs}}{\text{.}}\left( {4005 \times \frac{2}{9}} \right) \cr = {\text{Rs}}{\text{.}}\,{\text{890}} \cr} $$

Solution:
Rs. 2209
x × x = 2209
x = 47

Solution:

Solution:
$$\eqalign{ {\text{Let total profit}} = 100{\text{ unit}} \cr 20\% {\text{ taken by C remaining profit}} \cr = \frac{{100 \times 80\% }}{{100}} \cr = 80{\text{ unit}} \cr {\text{Ratio of money}} \cr} $$
\[\begin{array}{*{20}{c}} {\text{A}}:{\text{B}}:{\text{C}}{} \\ {27,500}{}{32,500}{}{37,500}{} \\ {11}:{13}:{15}{ = 39{\text{ unit}}} \\ {}{}{}{}\begin{gathered} \,\,\,\,\,\,\,\,\,\, \downarrow _{39}^{ \times 80} \hfill \\ \hfill \\ \end{gathered} \begin{gathered} \,\,\,\,\, \downarrow \hfill \\ \,\,\,\,80{\text{ unit}} \hfill \\ \end{gathered} \end{array}\]
$$\eqalign{ \frac{{400}}{{13}}{\text{ unit}} = 13500 \cr 1{\text{ unit}} = \frac{{135 \times 13}}{4} \cr 100{\text{ unit}} = 135 \times 13 \times 25 = 43,875 \cr {\text{Total profit}} = {\text{ Rs}}{\text{. 43,875}} \cr} $$

Solution:

Solution:
Let the total investment be Rs. z
Then,
$$\eqalign{ 20\% {\text{ of }}z = 98000 \cr \Leftrightarrow z = \left( {\frac{{98000 \times 100}}{{20}}} \right) \cr \Leftrightarrow z = 490000 \cr} $$
Let the capital of P, Q and R be
Rs. 5x, Rs. 6x and Rs. 6x respectively
Then,
$$ \Leftrightarrow \left( {5x \times 12} \right)$$   + $$\left( {6x \times 12} \right)$$   + $$\left( {6x \times 6} \right)$$   = $$490000 \times 12$$
$$\eqalign{ \Leftrightarrow 168x = 490000 \times 12 \cr \Leftrightarrow x = \left( {\frac{{490000 \times 12}}{{168}}} \right) \cr \Leftrightarrow x = 35000 \cr \therefore {\text{R's investment}} \cr = {\text{Rs}}{\text{. }}6x \cr = {\text{Rs}}{\text{.}}\left( {6 \times 35000} \right) \cr = {\text{Rs}}{\text{. 210000}} \cr} $$