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    Question

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

    amounts to Rs. 7000 in 24 months. If the same sum had been invested for 1 year at compound interest of (r + 10) % p.a. (compounded in every 4 months), then the amount received would be?
    A 6255 Correct Answer Incorrect Answer
    B 6355 Correct Answer Incorrect Answer
    C 6655 Correct Answer Incorrect Answer
    D 6455 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question, 7000 тАУ 5000 = (5000 ├Ч r ├Ч 24) ├╖ (12 ├Ч 100) Or, 2000 = 100 ├Ч r Or, r = 20 When the sum is invested at compound interest, Effective rate of interest = (r + 10) ├╖ 3 = (20 + 10) ├╖ 3 = 10% Effective time period = 1 ├Ч 3 = 3 units Amount received = Principal ├Ч {1 + (r/100)}time period = 5000 ├Ч {1 + (10/100)}3 = 5000 ├Ч (1.1)3 = 6655

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