Anu is a working partner and Bimla is a sleeping partner in a business. Anu puts Rs. 5000 and Bimla putes in Rs. 6000. Anu receives 12.5% of the profit for managing the business and the rest is divided in proportion to their capitals. What does each get put of a profit of Rs. 880 ?

Explanation:-

$$\eqalign{ & = {\text{Anu}}:{\text{Bimla}} \cr & = 5000:6000 \cr & = 5:6{\text{ }} \cr}$$
Anu's share for managing business
$$\eqalign{ & = 12.5\% {\text{ of Rs}}{\text{.}}\,880 \cr & = {\text{Rs}}{\text{.}}\,110 \cr & {\text{Net profit}} \cr & = {\text{Rs}}{\text{.}}\left( {880 - 110} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{770}} \cr & {\text{Anu's share}} \cr & = {\text{Rs}}{\text{.}}\left( {770 \times \frac{5}{{11}}} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{350}} \cr & {\text{Anu's total share}} \cr & = {\text{Rs}}{\text{.}}\left( {110 + 350} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{460}} \cr & {\text{Bimla's share}} \cr & = {\text{Rs}}{\text{.}}\left( {770 \times \frac{6}{{11}}} \right) \cr & = {\text{Rs}}{\text{.}}\,{\text{420}} \cr}$$