Question
Aman and Akash started a business by investing Rs.
20,000 and Rs. 30,000 respectively. Aman also worked as the active manager and for that, he is entitled to receive a commission which is equal to 25% of the profit. If the difference between the amount received by Aman and Akash at the end of the year is Rs. 5000, then find the profit (before commission was given to Aman) earned by them.Solution
Let the profit earned before commission was given to Aman be Rs. ‘100x’.  Commission of Aman = 100x × 0.25 = Rs. 25x.  Ratio of profit shares of Aman to Akash = 20000:30000 = 2:3.  Profit earned by Aman = (100x – 25x) × (2/5) = Rs. 30x.  Profit earned by Akash = (100x – 25x) × (3/5) = Rs. 45x.  According to the question,  30x + 25x – 45x = 5000,  Or, 10x = 5000,  So, x = 500.  So, required profit = 500 × 100 = Rs. 50,000.
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