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1. 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 ?

A. Rs. 400, Rs. 480

B. Rs. 450, Rs. 430

C. Rs. 460, Rs. 420

D. Rs. 470, Rs. 410

Solution:

\begin{aligned} = Anu : Bimla \\ = 5000 : 6000 \\ = 5 : 6 \end{aligned}

Anu's share for managing business

\begin{aligned} = 12.5 % of  Rs . 880 \\ = Rs . 110 \\ Net profit \\ = Rs . (880 - 110) \\ = Rs . 770 \\ Anu's share \\ = Rs . (770 \times \frac{5}{11}) \\ = Rs . 350 \\ Anu's total share \\ = Rs . (110 + 350) \\ = Rs . 460 \\ Bimla's share \\ = Rs . (770 \times \frac{6}{11}) \\ = Rs . 420 \end{aligned}

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