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A started a business with Rs. 52,000 and after 4 months B joined him with Rs.39,000. At the end of the year, out of the total profits B received total Rs. 20,000 including  25% of the profits as commission for managing the business. What amount did A receive?
Options:
A .  Rs. 70,000
B .  Rs. 60,000
C .  Rs. 20,000
D .  Rs. 40,000
E .  Rs. 2,00,000
Answer: Option C
:
C
Profit's share of A and B =(52,000×12)(39,000×8)=2:1
Let the profit be Rs. x, then B receives 25% as commission for managing business, the remaining 75% of the total profit x is shared between A and B in the ratio 2:1. Hence B will get 13rd part of this in addition to his commission. Hence his total earning
=0.25x+13×0.75x
=0.5x=20,000
x=40,000
So,the remaining profit goes to A,hence the profit of A is Rs.20,000.

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