Compound Interest


  1. At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years ?









  1. View Hint View Answer Discuss in Forum

    Let the rate be R% per annum.
    Then,
    1200 x (1 + R/100)2 = 1348.32

    Correct Option: C

    Let the rate be R% per annum.
    Then,
    1200 x (1 + R/100)2 = 1348.32
    ⇒ (1 + R/100)2 =1348.32/1200 = 1.1236 = (1.06)2
    ⇒ (1 + R/100) =1.06
    ⇒ R/100 = 0.06
    ∴ R = 6%


  1. A sum of ₹ 2400 deposited at CI, Double after 5 yr. After 20 yr it will become ?









  1. View Hint View Answer Discuss in Forum

    2P = P (1 + R/100) 5
    ⇒ 24 P = P(1 + R/100)20
    ⇒ The amount becomes 24 times
    = 16 times and required amount = 2400 x 16 = ₹ 38400

    Correct Option: B

    2P = P (1 + R/100) 5
    ⇒ 24 P = P(1 + R/100)20
    ⇒ The amount becomes 24 times
    = 16 times and required amount = 2400 x 16 = ₹ 38400



  1. Rohit earns an interest of ₹ 1656 for the third year and ₹ 1440 for the second year on the same sum. Find the rate of interest if it is lent at compound interest ?









  1. View Hint View Answer Discuss in Forum

    Interest on ₹ 1440 = ₹ 216 for the third year

    Correct Option: C

    Interest on ₹ 1440 = ₹ 216 for the third year
    ⇒ Rate percentage = (216 x 100)/(1440 x 1) = 15 %


  1. What will be the compound interest on a sum of ₹ 50000 after 3 yr at the rate of 12% pa?









  1. View Hint View Answer Discuss in Forum

    Given, P = ₹ 50000, R = 12% and n = 3 Yr
    According to the formula,
    Amount = P (1 + R/100 )n
    = 50000 (1 + 12/100 )3

    Correct Option: C

    Given, P = ₹ 50000, R = 12% and n = 3 Yr
    According to the formula,
    Amount = P (1 + R/100 )n
    = 50000 (1 + 12/100 )3
    = 50000 x (28/25) x (28/25) x (28/25)
    = 16 x (28 x 28 x 28)/ 5 = 351232/5
    = ₹ 70246.40
    ∴ CI = 702446.40 - 50000 = ₹ 20246.40



  1. A sum amounts to ₹ 1352 in 2 yr at 4% compound interest. The sum is









  1. View Hint View Answer Discuss in Forum

    Using the formula, A = p ( 1 + R/100 )n
    ⇒ 1352 = p(1 + 4/100 )2

    Correct Option: A

    Using the formula, A = p ( 1 + R/100 )n
    ⇒ 1352 = p(1 + 4/100 )2
    ⇒ 1352 = p(1.04 )2
    ∴ p = 1352/(1.04)2 = ₹ 1250