calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually​

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calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually​

2 thoughts on “calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually​”

  1. Question:-

    • Calculate the amount and compound interest on rs.10800 for 3 year’s at 12.5% per annum compound anually.

    To Find:-

    • Find the amount and the compound interest.

    Solution:-

    [tex]\tt\implies \: A = 10800 \times { ( \dfrac { 1 + 12.5 } { 100 } ) }^{ 3 } [/tex]

    [tex]\tt\implies \: A = 10800 \times {1.125 }^{ 3 } [/tex]

    [tex]\tt\implies \: A = 15377 [/tex]

    Now ,

    We have to find the compound Interest:-

    [tex]\tt\implies \: Interest = 15377 – 10800 [/tex]

    [tex]\tt\implies \: Interest = 4577 [/tex]

    Hence ,

    • Compound interest is 4577

  2. Answer:

    1. Amount = Rs 15377
    2. Compound interest = Rs 4577

    Step-by-step explanation:

    Given that:

    • Time = 3 years
    • Principal = Rs 10800
    • Rate of interest = 12.5% per annum

    To Find:

    1. Amount
    2. Compound interest

    Formula used:

    1. A = P(1 + R/100)ᵀ
    2. CI = A – P

    Where,

    • P = Principal
    • R = Rate of interest
    • T = Time
    • A = amount
    • CI = Compound interest

    Finding the amount:

    ⟶ A = 10800(1 + 12.5/100)³

    ⟶ A = 10800(1 + 0.125)³

    ⟶ A = 10800(1.125)³

    ⟶ A = 10800 × 1.125 × 1.125 × 1.125

    ⟶ A ≈ 15377

    ∴ Amount in compound interest = Rs 15377

    Finding the compound interest:

    ⟶ CI = 15377 – 10800

    ⟶ CI = 4577

    ∴ Compound interest = Rs 4577

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