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    Question

    A and B started a business by investing Rs. 18,000 and

    Rs. 27,000 respectively. A also worked as the active manager and for that he is entitled to receive a commission which is equal to 30% of profit. If the difference between the amount received by A and B at the end of the year is Rs. 960, then find the profit (before commission was given to A) earned by them.
    A Rs 6000 Correct Answer Incorrect Answer
    B Rs 12500 Correct Answer Incorrect Answer
    C Rs 18000 Correct Answer Incorrect Answer
    D Rs 6500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the profit earned before commission was given to A be Rs. β€˜100x’ Commission of A = 100x Γ— 0.30x = Rs. 30x Ratio of profit shares of A to B = 18000:27000 = 2:3 Profit earned by A = (100x – 30x) Γ— (2/5) = Rs. 28x Profit earned by B = (100x – 30x) Γ— (3/5) = Rs. 42x According to the question 30x + 28x – 42x = 960 Or, 16x = 960 So, x = 60 So, required profit = 60 Γ— 100 = Rs. 6,000

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