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    Question

    If a sum earns Rs. 7,200 as simple interest at the rate of

    20% p.a. for 3 years and 3 months, calculate the original sum.
    A Rs.15,756.45 Correct Answer Incorrect Answer
    B Rs.11,076.92 Correct Answer Incorrect Answer
    C Rs.19,826.95 Correct Answer Incorrect Answer
    D Rs.10,712.12 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the invested amount be Rs. ‘P’.

    Time = 3 years + 3 months = 39 months

    Simple Interest = P × rate × time ÷ (100 × 12)

    ⇒ 7200 = P × 20 × 39 ÷ (100 × 12)

    ⇒ P = 7200 × (1200 ÷ 780)

    ⇒ P = 7200 × (40 ÷ 26) = 11076.92

    So, invested sum = Rs.11,076.92

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