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    Question

    Rs. 5000 when invested at simple interest of r% p.a.

    amounts to Rs. 6000 in 24 months. If the same sum had been invested for 1 year at compound interest of (r + 32) % p.a. (compounded in every 4 months), then the amount received would be?
    A 7707.72 Correct Answer Incorrect Answer
    B 7307.72 Correct Answer Incorrect Answer
    C 7407.72 Correct Answer Incorrect Answer
    D 7807.72 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question, 6000 тАУ 5000 = (5000 ├Ч r ├Ч 24) ├╖ (12 ├Ч 100) Or, 1000 = 100 ├Ч r Or, r = 10 When the sum is invested at compound interest, Effective rate of interest = (r + 32) ├╖ 3 = (10 + 32) ├╖ 3 = 14% Effective time period = 1 ├Ч 3 = 3 units Amount received = Principal ├Ч {1 + (r/100)}time period = 5000 ├Ч {1 + (14/100)}3 = 5000 ├Ч (1.14)3 = 7407.72

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