Compound Interest


  1. A sum of Rs. 12000 deposited at compound interest becomes doubles after 5 years. After 20 years it will become ?









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    ∵ 2P = P(1 +r/100)5
    ⇒ (1 +r/100)5 = 2
    ∴ (1 + r/100)20 = 24 = 16

    Correct Option: B

    ∵ 2P = P(1 +r/100)5
    ⇒ (1 +r/100)5 = 2
    ∴ (1 + r/100)20 = 24 = 16
    Thus, P(1 +r/100)20 = 16P
    = Rs. (12000 x 16)
    = Rs. 192000


  1. A loan was repaid in two annual instalment of ₹ 1089 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was ?









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    Principle = ₹ 1089
    ∴ P/{(1 + 10/100) + (1 + 10/100)2 } = 1089

    Correct Option: B

    Principle = ₹ 1089
    ∴ P/{(1 + 10/100) + (1 + 10/100)2 } = 1089
    ⇒ P = {(1089 x 10/11) + (1089 x 100/121)} = (990 + 900) = ₹ 1890



  1. Vandana invested an amount of ₹ 8000 in a fixed deposit scheme for 2 yr at the rate of 5% pa compound interest. How much amount will Vandana get on maturity of the fixed deposit?









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    Given, P = ₹ 8000, R = 5% and n = 2 Yr
    According to the formula,
    Amount = p ( 1 + R / 100 )n
    = 8000 ( 1 + 5/100 )2

    Correct Option: D

    Given, P = ₹ 8000, R = 5% and n = 2 Yr
    According to the formula,
    Amount = p ( 1 + R / 100 )n
    = 8000 ( 1 + 5/100 )2
    = 8000 x (105/100)2
    =8000 x (21/20) x (21/20)
    = 20 x 21 x 21
    = ₹ 8820


  1. Raja invested ₹ 15000 at the rate of 10 % pa for 1 yr. If the interest is compound half-yearly, then find the amount received by Raja at the end of the year.









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    Given P = ₹ 15000 , R = 10 %
    and n = 1 yr
    Accounting to the formula,
    Amount = P(1 + R/(2 x 100))2n
    = 15000 x (1 + 5/100 )2

    Correct Option: A

    Given P = ₹ 15000 , R = 10 %
    and n = 1 yr
    Accounting to the formula,
    Amount = P(1 + R/(2 x 100))2n
    = 15000 x (1 + 5/100 )2
    = 15000 x (105/100 )2
    = 15000 x (21/20) x (21/20)
    = ₹ 16537.50



  1. What amount will be received on a sum of ₹ 15000 in 11/4 yr at 12% pa, if interest is compounded quarterly?









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    Given, P = ₹ 15000, R = 12 %
    and n = 11/4 = 5/4 Yr
    According to the formula,
    Amount = p [1 + R/(100 x 4)]4n
    = 15000 x [1 + 12/(100 x 4)]4 x 5/4

    Correct Option: D

    Given, P = ₹ 15000, R = 12 %
    and n = 11/4 = 5/4 Yr
    According to the formula,
    Amount = p [1 + R/(100 x 4)]4n
    = 15000 x [1 + 12/(100 x 4)]4 x 5/4
    = 15000(412/400)5
    = 15000 (103/100)5
    = 15000 x (103/100) x (103/100) x (103/100) x (103/100) x (103/100)
    = (15 x 103 x 103 x 103 x 103 x 103) / 10000000
    = ₹ 17389.111
    = ₹ 17389.12 (approx )