Question
Bina and Bimal started a business by investing Rs.
25,000 and Rs. 35,000 respectively. Bina also worked as the active manager and for that, she is entitled to receive a commission which is equal to 16% of the profit. If the difference between the amount received by Bina and Bimal at the end of the year is Rs. 6000, then find the profit (before commission was given to Bina) earned by them.Solution
Let the profit earned before commission was given to Bina be Rs. ‘100x’. Commission of Bina = 100x × 0.16 = Rs. 16x. Ratio of profit shares of Bina to Bimal = 25000:35000 = 5:7. Profit earned by Bina = (100x – 16x) × (5/12) = Rs. 35x. Profit earned by Bimal = (100x – 16x) × (7/12) = Rs. 49x. According to the question, 35x + 16x – 49x = 6000, Or, 2x = 6000, So, x = 3000. So, required profit = 300 × 100 = Rs.3,00,000.
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