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    Question

    A and B borrow a total sum of Rs. 30,000 from C at 4%

    per annum for 5 years and at 5% per annum for 4 years respectively. Find out the sum borrowed by A, if A's interest is double than that of B's interest
    A Rs.12000 Correct Answer Incorrect Answer
    B Rs.15000 Correct Answer Incorrect Answer
    C Rs20000 Correct Answer Incorrect Answer
    D Rs.35000 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the sum borrowed by A be x and by B be y Interest paid by A = [I Γ— A] = x Γ— 4 Γ— (5/100) and Interest paid by B = [I Γ— B]= y Γ— 5 Γ— (4/100) Since interest paid by A is double that of B's; [I Γ— A] = 2(I Γ— B) =>​ (x/5) = (2y/5) =>​ x = 2y x + y =30000 =>​ ​2y + y = 30000Β  =>​ y = 10000. Therefore, x = 20,000 Sum borrowed by A is Rs.20000

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