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A is a active partner and B is a inactive partner in business. A puts in Rs. 5000 and B puts in Rs. 6000. A received 15% of the profit for managing the business and the rest is divided in proportion to their capitals. The amounts received by A out of the profit of Rs. 880 in all is ?

a) Rs. 132
b) Rs. 340
c) Rs. 472
d) Rs. 492

Answer: c
Explanation: Total profit = Rs. 880
Since A gets 15% of total profit for management
Remaining profit
$$\eqalign{ & = 880 – \frac{{880 \times 15}}{{100}} \cr & = {\text{Rs}}.\,748 \cr} $$
  A   B
Amount 5000   6000
Ratio of Capital   5   :   6

The remaining profit is being divided in the ratio of their capital
A’s share of profit
$$\eqalign{ & = \frac{{748}}{{\left( {5 + 6} \right)}} \times 5 \cr & = {\text{Rs}}.\,340 \cr} $$
Total profit received by A = 340 + 132
= Rs. 472

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