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    Question

    For each of the following questions statements I and II are given. Use the data of those statements and then determine which of the following statements is necessary to answer the question:

    Find the rate percent?

    I. The ratio of difference of C.I and S.I for 2 years and 3 years is 19:6.

    II. The difference between C.I and S.I on a certain sum of money of Rs 5,000 for 2 years is Rs 72.

    A Only I Correct Answer Incorrect Answer
    B Both I and II Correct Answer Incorrect Answer
    C Only II Correct Answer Incorrect Answer
    D Either I or II Correct Answer Incorrect Answer
    E Neither I nor II Correct Answer Incorrect Answer

    Solution

    From Statement I (PR²/4 (3+R/100))/(PR²/4) = 19/6 ⇒ (3+ R/100) = 19/6 ⇒ 3 + ( R)/100 = 19/6 ⇒ ( R)/100 = 19/6 - 3 ⇒ ( R)/100 = 1/6 ∴ R = 100/6 = 16 2/3 % per annum From statement II Rate = √((difference )/(principle )) × 100 Rate = √((72 )/(5000 ) ) × 100 = √((144 )/(10000 ) ) × 100 = 0.12×100 = 12% per annum

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