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    Question

    The difference between compound interest and simple

    interest at rate of 12% per annum for 2 years is Rs. 144. Find the simple interest obtained on same amount for a period of 2 years at rate of 10% per annum.
    A Rs. 2000 Correct Answer Incorrect Answer
    B Rs. 3000 Correct Answer Incorrect Answer
    C Rs. 2400 Correct Answer Incorrect Answer
    D Rs. 1500 Correct Answer Incorrect Answer
    E Rs. 1200 Correct Answer Incorrect Answer

    Solution

    Let, the amount be Rs. P. P[(1 + 12/100)2 – 1] – P Γ— 12% Γ— 2 = 144 P Γ— 0.2544 – P Γ— 0.24 = 144 P Γ— 0.0144 = 144 P = 144 Γ· 0.0144 = Rs. 10000 Therefore, required interest = 10000 Γ— 10% Γ— 2 = Rs. 2000

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