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    Question

    β€˜A’ and β€˜B’ together started a business by

    investing their capitals in ratio 3:2, respectively. Nine months later, they both invested Rs. 500 more. If at the end of one years, the profit was divided between β€˜A’ and β€˜B’ in the ratio 29:21, respectively, then find the difference between the amounts invested by β€˜A’ and β€˜B’, initially.
    A Rs. 150 Correct Answer Incorrect Answer
    B Rs. 350 Correct Answer Incorrect Answer
    C Rs. 200 Correct Answer Incorrect Answer
    D Rs. 120 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ; {(3x Γ— 9) + (3x + 500) Γ— 3}/{(2x Γ— 9) + (2x + 500) Γ— 3} = 29/21 (27x + 9x + 1500) Γ· (18x + 6x + 1500) = (29/21) Or, (36x + 1500)/(24x + 1500) = 29/21 Or, 63x + 2625 = 58x + 3625 Or, 5x = 1000 Or, x = 200 Therefore, required difference = (3 Γ— 200) – (2 Γ— 200) = Rs. 200

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